Maths-
General
Easy

Question

The simple interest on a sum of money at the end of 5 years is  of the sum. Find the rate of interest?

Hint:

We have SI to be 4 over 5 of the principal amount.

The correct answer is: 16%


    Complete step by step solution:
    Let the sum of money = P
    It is given that S I equals 4 over 5 times the sum = 4 over 5 P
    We calculate simple interest by the formula, S I equals fraction numerator P T R over denominator 100 end fraction
    where P is Principal amount, T is number of years and R is rate of interest
    Here, we have S I equals 4 over 5 P comma T equals 5,  and R = ?
    On substituting the known values, we have 4 over 5 P equals fraction numerator P cross times 5 cross times R over denominator 100 end fraction
    On rearranging the above equation, we get R equals fraction numerator 4 cross times P cross times 100 over denominator 5 cross times P cross times 5 end fraction
    On further simplifications, we get R equals 16 straight percent sign
    At 16% rate of interest, the simple interest on a sum of money at the end of 5 years is 4 over 5 of sum Itself.

    Related Questions to study

    General
    Maths-

    Find the solution of the system of equations.
    y equals 2 x squared plus 5 x minus 30
    y = 2x + 5



    Find the solution of the system of equations.
    y equals 2 x squared plus 5 x minus 30
    y = 2x + 5

    Maths-General


    General
    General

    Format the sentence into converts Spanish grammar.
    "My wife buys a new television for my father”

    Explanation:-
    Because both pronouns "La" and "le" were used in the sentence, the "le" is changed to a "se" in order to fit.

    Format the sentence into converts Spanish grammar.
    "My wife buys a new television for my father”

    GeneralGeneral
    Explanation:-
    Because both pronouns "La" and "le" were used in the sentence, the "le" is changed to a "se" in order to fit.
    General
    General

    Find the helping Verbs and Action Verbs in the following sentences.

    Helping verb - The verbs which help the main verb.
    Action verb - The verb which is associated with some physical process.

    Find the helping Verbs and Action Verbs in the following sentences.

    GeneralGeneral
    Helping verb - The verbs which help the main verb.
    Action verb - The verb which is associated with some physical process.
    parallel
    General
    Maths-

    If Rs. 4000 amounts to Rs. 4500 in 2 years, find how much would it amount in 5 years at the same rate of interest?

    Complete step by step solution:
    Given that principal amount = Rs 4000
    Total amount after 2 years = Rs 4500
    We know the formula for total amount = A = P + SI…(i)
    where A is the total amount, P is the principal amount and SI is simple interest.
    Here we have P = 4000 and A = 4500
    On substituting in (i) we get SI = 4500 - 4000 = 500
    We calculate simple interest by the formula, S I equals fraction numerator P T F over denominator 100 end fraction
    where P is Principal amount, T is number of years and R is rate of interest
    Here, we have SI = 500,P = 4000 and T = 2 (given)
    So, we get 500 equals fraction numerator 4000 cross times 2 cross times R over denominator 100 end fraction
    On simplifications, we get 500 = 80R
    On dividing both the sides by 80, we get R = 6.25 straight percent sign
    To find the total amount in 5 years.
    We have S I equals fraction numerator P T R over denominator 100 end fraction equals fraction numerator 4000 cross times 5 cross times 6.25 over denominator 100 end fraction equals 1250
    On substituting the known values in (i), we get total amount in 5 years = A = P + SI = 4000 + 1250 = Rs 5250

    If Rs. 4000 amounts to Rs. 4500 in 2 years, find how much would it amount in 5 years at the same rate of interest?

    Maths-General
    Complete step by step solution:
    Given that principal amount = Rs 4000
    Total amount after 2 years = Rs 4500
    We know the formula for total amount = A = P + SI…(i)
    where A is the total amount, P is the principal amount and SI is simple interest.
    Here we have P = 4000 and A = 4500
    On substituting in (i) we get SI = 4500 - 4000 = 500
    We calculate simple interest by the formula, S I equals fraction numerator P T F over denominator 100 end fraction
    where P is Principal amount, T is number of years and R is rate of interest
    Here, we have SI = 500,P = 4000 and T = 2 (given)
    So, we get 500 equals fraction numerator 4000 cross times 2 cross times R over denominator 100 end fraction
    On simplifications, we get 500 = 80R
    On dividing both the sides by 80, we get R = 6.25 straight percent sign
    To find the total amount in 5 years.
    We have S I equals fraction numerator P T R over denominator 100 end fraction equals fraction numerator 4000 cross times 5 cross times 6.25 over denominator 100 end fraction equals 1250
    On substituting the known values in (i), we get total amount in 5 years = A = P + SI = 4000 + 1250 = Rs 5250
    General
    Maths-

    Find the solution of the system of equations.
    y equals 3 x squared plus 2 x plus 1
    y equals 2 x plus 1


    Find the solution of the system of equations.
    y equals 3 x squared plus 2 x plus 1
    y equals 2 x plus 1

    Maths-General

    General
    Maths-

    Find the solution of the system of equations.
    y equals x squared plus 8 x plus 30
    y = 5 - 2x


    Substitute the value of x in any of the equation to get the value of y,
    When x = -5,

    Find the solution of the system of equations.
    y equals x squared plus 8 x plus 30
    y = 5 - 2x

    Maths-General

    Substitute the value of x in any of the equation to get the value of y,
    When x = -5,
    parallel
    General
    Maths-

    At what rate percent per annum will a sum of money double itself in 10 years?

    Complete step by step solution:
    Formula for total amount = A = P + SI…(i)
    where  is the total amount,  is the principal amount and  is simple interest .
    Here, A = 2P and S I equals fraction numerator P T R over denominator 100 end fraction
    where P is Principal amount, T is number of years and R is the rate of interest.
    We have, T = 10 (given) and R = ?
    On substituting the known values in (i), we have 2 P equals P plus fraction numerator P cross times 10 cross times R over denominator 100 end fraction.
    Subtract P from both sides.
    Then we have, P equals fraction numerator P cross times 10 cross times R over denominator 100 end fraction
    On further simplifications, we have R equals 10 straight percent sign
    At 10% per annum the sum amount will double itself in 10 years.

    At what rate percent per annum will a sum of money double itself in 10 years?

    Maths-General
    Complete step by step solution:
    Formula for total amount = A = P + SI…(i)
    where  is the total amount,  is the principal amount and  is simple interest .
    Here, A = 2P and S I equals fraction numerator P T R over denominator 100 end fraction
    where P is Principal amount, T is number of years and R is the rate of interest.
    We have, T = 10 (given) and R = ?
    On substituting the known values in (i), we have 2 P equals P plus fraction numerator P cross times 10 cross times R over denominator 100 end fraction.
    Subtract P from both sides.
    Then we have, P equals fraction numerator P cross times 10 cross times R over denominator 100 end fraction
    On further simplifications, we have R equals 10 straight percent sign
    At 10% per annum the sum amount will double itself in 10 years.
    General
    Maths-

    Find the solution of the system of equations.
    y equals x squared plus 6 x plus 9
    y = 3x

    Step 1 of 2:
    The LHS of the given set has the same value. Equate the RHS of the set to eradicate the variable y. Thus, we have:
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell x squared plus 6 x plus 9 equals 3 x space space space space space space end cell row cell x squared plus 6 x minus 3 x plus 9 equals 0 end cell row cell x squared plus 3 x plus 9 equals 0 space space space space space space space space end cell end table
    Step 2 of 2 :
    Solve the equation using the quadratic formula,
    Here, a equals 1 comma b equals 3 straight & c equals 9
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell fraction numerator negative b plus-or-minus square root of b squared minus 4 a c end root over denominator 2 a end fraction equals fraction numerator negative 3 plus-or-minus square root of left parenthesis 3 right parenthesis squared minus 4 left parenthesis 1 right parenthesis left parenthesis 9 right parenthesis end root over denominator 2 left parenthesis 1 right parenthesis end fraction end cell row cell equals fraction numerator negative 3 plus-or-minus square root of 9 minus 36 end root over denominator 2 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space end cell row cell equals fraction numerator negative 3 plus-or-minus square root of negative 27 end root over denominator 2 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space end cell end table
    Here, we get negative value inside the root. Thus, there are  no real  roots for the set.

    Find the solution of the system of equations.
    y equals x squared plus 6 x plus 9
    y = 3x

    Maths-General
    Step 1 of 2:
    The LHS of the given set has the same value. Equate the RHS of the set to eradicate the variable y. Thus, we have:
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell x squared plus 6 x plus 9 equals 3 x space space space space space space end cell row cell x squared plus 6 x minus 3 x plus 9 equals 0 end cell row cell x squared plus 3 x plus 9 equals 0 space space space space space space space space end cell end table
    Step 2 of 2 :
    Solve the equation using the quadratic formula,
    Here, a equals 1 comma b equals 3 straight & c equals 9
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell fraction numerator negative b plus-or-minus square root of b squared minus 4 a c end root over denominator 2 a end fraction equals fraction numerator negative 3 plus-or-minus square root of left parenthesis 3 right parenthesis squared minus 4 left parenthesis 1 right parenthesis left parenthesis 9 right parenthesis end root over denominator 2 left parenthesis 1 right parenthesis end fraction end cell row cell equals fraction numerator negative 3 plus-or-minus square root of 9 minus 36 end root over denominator 2 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space end cell row cell equals fraction numerator negative 3 plus-or-minus square root of negative 27 end root over denominator 2 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space end cell end table
    Here, we get negative value inside the root. Thus, there are  no real  roots for the set.
    General
    General

    Choose the synonyms of 'research'

    Correct answer a) Investigation.
    Explanation - Research - the systematic investigation into and study of materials and sources in order to establish facts and reach near conclusion

    Choose the synonyms of 'research'

    GeneralGeneral
    Correct answer a) Investigation.
    Explanation - Research - the systematic investigation into and study of materials and sources in order to establish facts and reach near conclusion
    parallel
    General
    Maths-

    What sum will yield an interest of Rs. 277.50 for 3 years at 12% per annum?

    Complete step by step solution:
    Let the sum of money = P
    We calculate simple interest by the formula, S I equals fraction numerator P T R over denominator 100 end fraction
    where P is Principal amount, T is number of years and R is rate of interest
    Here, we have S I equals 277.50 comma T equals 3 comma R equals 12 straight percent sign and P = ?
    On substitution, we have 277.50 equals fraction numerator p cross times 3 cross times 12 over denominator 100 end fraction
    On further simplifications we have,36P = 27750
    Divide on both the sides by 36.
    On dividing, we get P = 770.83 Rupees.
    Hence the sum of money = P = 770.83 Rupees.

    What sum will yield an interest of Rs. 277.50 for 3 years at 12% per annum?

    Maths-General
    Complete step by step solution:
    Let the sum of money = P
    We calculate simple interest by the formula, S I equals fraction numerator P T R over denominator 100 end fraction
    where P is Principal amount, T is number of years and R is rate of interest
    Here, we have S I equals 277.50 comma T equals 3 comma R equals 12 straight percent sign and P = ?
    On substitution, we have 277.50 equals fraction numerator p cross times 3 cross times 12 over denominator 100 end fraction
    On further simplifications we have,36P = 27750
    Divide on both the sides by 36.
    On dividing, we get P = 770.83 Rupees.
    Hence the sum of money = P = 770.83 Rupees.
    General
    General

    Which of the following is an example of parallel structure?

    Correct answer
    a) Yesterday, Leon walled to the stare, purchased groceries, and made a delicious diner.
    Explanation:-
    Parallel structure means using the same patters of words  show that two or more ideas have the same level of importance. This can happen at the word, phrase, or clave level. The usual way to join parallel structures is with the use of coordinating conjunctions such as "and" or "or".

    Which of the following is an example of parallel structure?

    GeneralGeneral
    Correct answer
    a) Yesterday, Leon walled to the stare, purchased groceries, and made a delicious diner.
    Explanation:-
    Parallel structure means using the same patters of words  show that two or more ideas have the same level of importance. This can happen at the word, phrase, or clave level. The usual way to join parallel structures is with the use of coordinating conjunctions such as "and" or "or".
    General
    Maths-

    Find the solution of the system of equations.
    y equals x squared minus 5 x minus 8
    y equals negative 2 x minus 4



    Note:
    The maximum number of solutions a polynomial of degree two could have is two.

    Find the solution of the system of equations.
    y equals x squared minus 5 x minus 8
    y equals negative 2 x minus 4

    Maths-General


    Note:
    The maximum number of solutions a polynomial of degree two could have is two.
    parallel
    General
    Maths-

    Consider this simple bivariate data set.

    a) Draw a scatter plot for the data.
    b) Describe the correlation between x and y as positive or negative.
    c) Describe the correlation between x and y as strong or weak.
    d) Identify any outliers.

    Hint:
    An outlier is a set of points that lie quite far away from the trend line. The correlation between x and y is strong if the points are clustered around the line. If the slope of the line is negative, then the correlation is negative.
    We are asked to plot the scatter graph, check if the correlation between x and y are strong or weak, negative or positive and find any outlier.
    Step 1 of 4:
    The coordinate points corresponding to the table are:
    (13,2.1),(9,4),(2,6.2),(17,1.3),(3,5.5),(6,0.9),(8,3.5),(15,1.6).
    The scatter plot based on the given coordinate points is:

    Step 2 of 4:
    The trend line that best fits the data is:

    The line is drawn downwards, which means it has a negative slope. Thus, we can say that the correlation among the variables x and y are negative.
    Step 3 of 4:
    The points are clustered around the line. They are closely packed. So, the correlation is strong among the variables x and y.
    Step 4 of 4:
    There exists an outlier in the graph.
    It is located at (6, 0.9).
    Note:
    If the variables increase and decrease together, they would have a positive correlation. Or else, their correlation would be negative.

    Consider this simple bivariate data set.

    a) Draw a scatter plot for the data.
    b) Describe the correlation between x and y as positive or negative.
    c) Describe the correlation between x and y as strong or weak.
    d) Identify any outliers.

    Maths-General
    Hint:
    An outlier is a set of points that lie quite far away from the trend line. The correlation between x and y is strong if the points are clustered around the line. If the slope of the line is negative, then the correlation is negative.
    We are asked to plot the scatter graph, check if the correlation between x and y are strong or weak, negative or positive and find any outlier.
    Step 1 of 4:
    The coordinate points corresponding to the table are:
    (13,2.1),(9,4),(2,6.2),(17,1.3),(3,5.5),(6,0.9),(8,3.5),(15,1.6).
    The scatter plot based on the given coordinate points is:

    Step 2 of 4:
    The trend line that best fits the data is:

    The line is drawn downwards, which means it has a negative slope. Thus, we can say that the correlation among the variables x and y are negative.
    Step 3 of 4:
    The points are clustered around the line. They are closely packed. So, the correlation is strong among the variables x and y.
    Step 4 of 4:
    There exists an outlier in the graph.
    It is located at (6, 0.9).
    Note:
    If the variables increase and decrease together, they would have a positive correlation. Or else, their correlation would be negative.
    General
    Maths-

    Find the solution of the system of equations.
    y equals 6 x squared plus 3 x minus 11
    y = 3x - 5

    Step 1 of 3 :
    The LHS of the given set has the same value. So, equate the RHS of the set. Thus, we get:
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 6 x squared plus 3 x minus 11 equals 3 x minus 5 space space space space space space space space space end cell row cell 6 x squared plus 3 x minus 3 x minus 11 plus 5 equals 0 space space space end cell row cell 6 x squared minus 6 equals 0 space space space space space space space space space space space space space space space space space space space space space space space space space space space space end cell row cell 6 open parentheses x squared minus 1 close parentheses equals 0 space space space space space space space space space space space space space space space space space space space space space space space space space space end cell row cell x squared minus 1 equals 0 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space end cell end table
    Step 2 of 3 :
    Solve the simplified equation;
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell x squared minus 1 equals 0 space space space space space space space space space space space space space space space space space space space space end cell row cell left parenthesis x plus 1 right parenthesis left parenthesis x minus 1 right parenthesis equals 0 space space space space space space space space space space end cell row cell left parenthesis x plus 1 right parenthesis equals 0 straight & left parenthesis x minus 1 right parenthesis equals 0 end cell row cell x equals negative 1 straight & x equals 1 space space space space space space space space space space space space space end cell end table
    Step 3 of 3:
    Substitute the values of  in any of the equation to get the values of y.
    when x = -1,
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell y equals 3 x minus 5 space space space space space space end cell row cell y equals 3 left parenthesis negative 1 right parenthesis minus 5 end cell row cell y equals negative 3 minus 5 space space space space space end cell row cell y equals negative 8 space space space space space space space space space space space space end cell end table space
    when  x = 1,
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell y equals 3 x minus 5 space space end cell row cell y equals 3 left parenthesis 1 right parenthesis minus 5 end cell row cell y equals 3 minus 5 space space space space space end cell row cell y equals negative 2 space space space space space space space end cell end table
    Thus, the required solutions are ( -1,-8) and (1,-2)

    Find the solution of the system of equations.
    y equals 6 x squared plus 3 x minus 11
    y = 3x - 5

    Maths-General
    Step 1 of 3 :
    The LHS of the given set has the same value. So, equate the RHS of the set. Thus, we get:
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 6 x squared plus 3 x minus 11 equals 3 x minus 5 space space space space space space space space space end cell row cell 6 x squared plus 3 x minus 3 x minus 11 plus 5 equals 0 space space space end cell row cell 6 x squared minus 6 equals 0 space space space space space space space space space space space space space space space space space space space space space space space space space space space space end cell row cell 6 open parentheses x squared minus 1 close parentheses equals 0 space space space space space space space space space space space space space space space space space space space space space space space space space space end cell row cell x squared minus 1 equals 0 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space end cell end table
    Step 2 of 3 :
    Solve the simplified equation;
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell x squared minus 1 equals 0 space space space space space space space space space space space space space space space space space space space space end cell row cell left parenthesis x plus 1 right parenthesis left parenthesis x minus 1 right parenthesis equals 0 space space space space space space space space space space end cell row cell left parenthesis x plus 1 right parenthesis equals 0 straight & left parenthesis x minus 1 right parenthesis equals 0 end cell row cell x equals negative 1 straight & x equals 1 space space space space space space space space space space space space space end cell end table
    Step 3 of 3:
    Substitute the values of  in any of the equation to get the values of y.
    when x = -1,
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell y equals 3 x minus 5 space space space space space space end cell row cell y equals 3 left parenthesis negative 1 right parenthesis minus 5 end cell row cell y equals negative 3 minus 5 space space space space space end cell row cell y equals negative 8 space space space space space space space space space space space space end cell end table space
    when  x = 1,
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell y equals 3 x minus 5 space space end cell row cell y equals 3 left parenthesis 1 right parenthesis minus 5 end cell row cell y equals 3 minus 5 space space space space space end cell row cell y equals negative 2 space space space space space space space end cell end table
    Thus, the required solutions are ( -1,-8) and (1,-2)
    General
    General

    How many syllables in 'poem'.

    Correct answer 5) 2
    Explanation - Syllables are small group of sounds that you hear in each word
    Each  syllable must have a vowel sound.

    How many syllables in 'poem'.

    GeneralGeneral
    Correct answer 5) 2
    Explanation - Syllables are small group of sounds that you hear in each word
    Each  syllable must have a vowel sound.
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.