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
of the principal amount.
The correct answer is: 16%
Complete step by step solution:
Let the sum of money = P
It is given that
times the sum = ![4 over 5 P](data:image/png;base64,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)
We calculate simple interest by the formula, ![S I equals fraction numerator P T R over denominator 100 end fraction](data:image/png;base64,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)
where P is Principal amount, T is number of years and R is rate of interest
Here, we have
, 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](data:image/png;base64,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)
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](data:image/png;base64,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)
On further simplifications, we get ![R equals 16 straight percent sign](data:image/png;base64,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)
At 16% rate of interest, the simple interest on a sum of money at the end of 5 years is
of sum Itself.
Related Questions to study
Maths-
Find the solution of the system of equations.
![y equals 2 x squared plus 5 x minus 30](data:image/png;base64,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)
y = 2x + 5
Find the solution of the system of equations.
![y equals 2 x squared plus 5 x minus 30](data:image/png;base64,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)
y = 2x + 5
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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?
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Maths-General
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Find the solution of the system of equations.
![y equals 3 x squared plus 2 x plus 1](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHgAAAATCAYAAABbV8lLAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAjlJREFUeNrtmNFHQ1Ecx69JkkQmkx5ikiTTa5KJJMlMJJMk0UNP+wfSQyI9TA+9pYckkSSZiWSSZGRmekik/2EPM72s7+E7Zm733t2dc3e77pcP27ln2+/+vjvn/n5H0/6/quQHvIBhzZcnFQDbIO+nwtuq+CnwrqLgyU9D+zQDMqDMlfYJjkBQwncP8BkcVhD3FLgGJT7rC2DVRXkdATuMq63KgiXQWTc2Ae4l3GCaJquQ2BUSoIfvx/hnSrjE4HOwxWLTlSq1uHLFrtBrswK3qyFQVNgZSP3cKVjRGU+CfcXmii31Q2d8ExzojO/xWk3C3FGHE2lU0FmN21GD18Fhw1g3n5FBg97TCDOFwAZ/Y+GPOXnOq0nMP7YQixMGT3Kbthu3owaLBF81jO3ywa3qYKJG0mDuPEjx9Sx4dMlW2AVyLL5UxC3dYLFK3+ve94Mv3ogq9YE4ExU1mPfA6wUJ1baMnUfEfQvmTOY1E7eMuEz/GOW61ymTlSUrII2Vac7gepKtScQFxUyY5lo5Dm0l7qqK+3nmDYS5egMOVtEVk/4zpaglaSaRopA7YW1itW+2G7cSg89ADFyANQfNjbDQ0lstd0yoWOVvkg5E7CQyxBqlw+IqbzVuJQYn2S4VFZopDgyWmSixQ4iTrW9W8VpDDZBpSMwiG/p2GJy22IrJiluJwXFOiCk0eJrJqpAsE1Avccp1AwZ1Pn/JCtVpWak12hm3pRpIGPuq+fKsMmzefXlQ49w6fXlMv0Tqt8pf6Z5cAAAAsHRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT55PC9taT48bW8+PTwvbW8+PG1uPjM8L21uPjxtc3VwPjxtaT54PC9taT48bW4+MjwvbW4+PC9tc3VwPjxtbz4rPC9tbz48bW4+MjwvbW4+PG1pPng8L21pPjxtbz4rPC9tbz48bW4+MTwvbW4+PC9tYXRoPsmdItQAAAAASUVORK5CYII=)
![y equals 2 x plus 1](data:image/png;base64,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)
Find the solution of the system of equations.
![y equals 3 x squared plus 2 x plus 1](data:image/png;base64,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)
![y equals 2 x plus 1](data:image/png;base64,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)
Maths-General
Maths-
Find the solution of the system of equations.
![y equals x squared plus 8 x plus 30](data:image/png;base64,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)
y = 5 - 2x
Find the solution of the system of equations.
![y equals x squared plus 8 x plus 30](data:image/png;base64,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)
y = 5 - 2x
Maths-General
Maths-
At what rate percent per annum will a sum of money double itself in 10 years?
At what rate percent per annum will a sum of money double itself in 10 years?
Maths-General
Maths-
Find the solution of the system of equations.
![y equals x squared plus 6 x plus 9](data:image/png;base64,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)
y = 3x
It is not necessary for every set of equation to have solutions. If you graph them and get not intersecting points, then they have no real solutions.
Find the solution of the system of equations.
![y equals x squared plus 6 x plus 9](data:image/png;base64,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)
y = 3x
Maths-General
It is not necessary for every set of equation to have solutions. If you graph them and get not intersecting points, then they have no real solutions.
General
Choose the synonyms of 'research'
Choose the synonyms of 'research'
GeneralGeneral
Maths-
What sum will yield an interest of Rs. 277.50 for 3 years at 12% per annum?
What sum will yield an interest of Rs. 277.50 for 3 years at 12% per annum?
Maths-General
General
Which of the following is an example of parallel structure?
Which of the following is an example of parallel structure?
GeneralGeneral
Maths-
Find the solution of the system of equations.
![y equals x squared minus 5 x minus 8](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAG4AAAATCAYAAABx5zjkAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAhZJREFUeNrtmFFEQ1EYx6/JJOklk/QQkyTZy/SQJCOZZDImPSTpJT0kvaeHRJI9pNcekkSyh8xEkkkSSZIkeuqhtx6SzET9D/9xnd3ZXe65d4f758fu3dn23/nO+b7vXMOoX/2SIrgCXYYvrRQAC+DOnwo9VfCnQD8Ng7w/DXqpnTUurLCOWuG1msA2+GK2OQUdugStG2QZPFUNUL1qF6yDBhAEG+BGl52WAy2KO1ddanqAHXZZdCctPrzEqDupOa4eWWt8ryQRtB4XjhxO+3ZKIkU2S4F7kwfNgE2LHPsCWmusDXZqhGjt20zXs2DHxm94vePs+HZKor4tmq4HwJY8aAwcSfdWwYoiU3GQ5usRcO7hIV+kn0/u8GVplXvpO0JvRXbU72BIHiR21aPpOgReQaNCY2ds8+8r7GqnukM7u1U0AFEu1OcqKboW3//11QkOWOeDvBdlTCLy4G/T6zTrm6qJKtXPopURjzVa5czohu9Mhe+PgQv55iXPSmFGNqDQ2CA45gKZ0ugpjVu+C7W8twcS3KLTCk2JhXHC5kfUk1sHUqWT6uPC9dL3k2H9UL2Xta4sBYhjwYPCSQmxCTD/4XGw71GQMuzWAiTOoCU99p1k8GImbzF6m5cHT7A2JRSZCXKirB7bHHLS3FaKR54f8MHOur9OfKd4/CgyPeYZozKJgF0bvrRTjmnDl0YSBTnrT4M++gM/hKBIIJKZQwAAALR0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+eTwvbWk+PG1vPj08L21vPjxtc3VwPjxtaT54PC9taT48bW4+MjwvbW4+PC9tc3VwPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjU8L21uPjxtaT54PC9taT48bW8+JiN4MjIxMjs8L21vPjxtbj44PC9tbj48L21hdGg+F8DO5AAAAABJRU5ErkJggg==)
![y equals negative 2 x minus 4](data:image/png;base64,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)
Find the solution of the system of equations.
![y equals x squared minus 5 x minus 8](data:image/png;base64,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)
![y equals negative 2 x minus 4](data:image/png;base64,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)
Maths-General
Maths-
Consider this simple bivariate data set.
![](data:image/png;base64,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)
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.
Consider this simple bivariate data set.
![](data:image/png;base64,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)
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
Maths-
Find the solution of the system of equations.
![y equals 6 x squared plus 3 x minus 11](data:image/png;base64,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)
y = 3x - 5
You could solve a set of equations by graphing them. The points where the graphs intersect are the solutions.
Find the solution of the system of equations.
![y equals 6 x squared plus 3 x minus 11](data:image/png;base64,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)
y = 3x - 5
Maths-General
You could solve a set of equations by graphing them. The points where the graphs intersect are the solutions.
General
How many syllables in 'poem'.
How many syllables in 'poem'.
GeneralGeneral