Mathematics
Grade-7
Easy

Question

100 pounds is increased to 250 pounds. Percent change is ___________%.

  1. 150
  2. 140
  3. 100
  4. 120

The correct answer is: 100


    STEP BY STEP SOLTION
    FORMULA=fraction numerator I N C R E A S E space A M O U N T over denominator O R I G I N A L space A M O U N T space end fraction cross times 100
    INCREASE AMOUNT = NEW AMOUNT - OLD AMOUNT
    INCREASE AMOUNT= 250-100=150
    150 over 100 cross times 100 equals 150 cross times 1 equals 150 straight percent sign
    INCREASED %=150%

    Related Questions to study

    Grade-7
    Mathematics

    The cost of a bike is listed at 30% off the marked price. If the marked price is $2000, then find the cost price.

    The original selling price is $2000. And the new selling price is 30% off. It means the markdown percentage is 30%.
    When there is decrease is value it's the case of markdown percentage.
    Let's see the formula for markdown percentage
    m a r k d o w n space p e r c e n t a g e space equals space fraction numerator s e l l i n g space p r i c e minus cos t space p r i c e over denominator s e l l i n g space p r i c e end fraction cross times 100
    Incase of a markdown, there is decrease in percentage of selling price.
    For the above formula, we have all values except for the cost price. So we will rearrange the formula to get the cost price. To rearrange the above forumula, we will multiply L.H.S and R.H.S of the above equation by selling price. And we will divide both the sides by 100. Then we get the formula as follows:
    fraction numerator m a r k d o w n space p e r c e n t a g e cross times s e l l i n g space p r i c e over denominator 100 end fraction space equals space s e l l i n g space p r i c e minus cos t space p r i c e
    We will substitute the respective values.
    fraction numerator 30 space cross times space 2000 over denominator 100 end fraction space equals space 2000 minus cos t space p r i c e
    600 = 2000 - cost price
    Rearranging the above equation, we get
    Cost price = 2000-600
    Cost price = 1400
    So the cost price of the bike is $1400.
    Therefore option (d), which is '$1400' is the right option.

    The cost of a bike is listed at 30% off the marked price. If the marked price is $2000, then find the cost price.

    MathematicsGrade-7
    The original selling price is $2000. And the new selling price is 30% off. It means the markdown percentage is 30%.
    When there is decrease is value it's the case of markdown percentage.
    Let's see the formula for markdown percentage
    m a r k d o w n space p e r c e n t a g e space equals space fraction numerator s e l l i n g space p r i c e minus cos t space p r i c e over denominator s e l l i n g space p r i c e end fraction cross times 100
    Incase of a markdown, there is decrease in percentage of selling price.
    For the above formula, we have all values except for the cost price. So we will rearrange the formula to get the cost price. To rearrange the above forumula, we will multiply L.H.S and R.H.S of the above equation by selling price. And we will divide both the sides by 100. Then we get the formula as follows:
    fraction numerator m a r k d o w n space p e r c e n t a g e cross times s e l l i n g space p r i c e over denominator 100 end fraction space equals space s e l l i n g space p r i c e minus cos t space p r i c e
    We will substitute the respective values.
    fraction numerator 30 space cross times space 2000 over denominator 100 end fraction space equals space 2000 minus cos t space p r i c e
    600 = 2000 - cost price
    Rearranging the above equation, we get
    Cost price = 2000-600
    Cost price = 1400
    So the cost price of the bike is $1400.
    Therefore option (d), which is '$1400' is the right option.
    Grade-7
    Mathematics

    A sportsman increased his target of daily jog of 15 miles by 22%. His new target will be ________ miles.

    The original value of the daily jog is 15 miles. And the mark-up percentage on the original value is 22%.
    We have to find the new of the daily jog of the sportsman. Considering the given data, it can be done using the formula for mark-up percentage.
    The formula for mark-up percentage is as follows:            
    m a r k minus u p space p e r c e n t a g e equals space fraction numerator n e w space v a l u e minus o r g i n a l space v a l u e over denominator o r i g i n a l space v a l u e end fraction cross times 100
    We can see we have all the values from the given formula except the new value. So what we will do is rearrange this formula in a way to find the new value.
    So to rearrange, first we will multiply both sides by original value and divide both sides by 100. On the right side of the equation, we are left with only the new value minus the original value. The equation becomes as follows:
    .             fraction numerator m a r k minus u p space p e r c e n t space cross times space o r i g i n a l space v a l u e over denominator 100 end fraction space equals space n e w space v a l u e minus space o r i g i n a l space v a l u e                                                                                             
    fraction numerator 22 space cross times space 15 over denominator 100 end fraction space equals space n e w space v a l u e space minus space 15
    3.3 = new value - 15
    Rearranging the above equation we get,
    New value = 15+3.3
    =18.3
    Therefore the new value of daily jog is 18.3 miles.
    So option (b), which is '18.3' is the right answer.

    A sportsman increased his target of daily jog of 15 miles by 22%. His new target will be ________ miles.

    MathematicsGrade-7
    The original value of the daily jog is 15 miles. And the mark-up percentage on the original value is 22%.
    We have to find the new of the daily jog of the sportsman. Considering the given data, it can be done using the formula for mark-up percentage.
    The formula for mark-up percentage is as follows:            
    m a r k minus u p space p e r c e n t a g e equals space fraction numerator n e w space v a l u e minus o r g i n a l space v a l u e over denominator o r i g i n a l space v a l u e end fraction cross times 100
    We can see we have all the values from the given formula except the new value. So what we will do is rearrange this formula in a way to find the new value.
    So to rearrange, first we will multiply both sides by original value and divide both sides by 100. On the right side of the equation, we are left with only the new value minus the original value. The equation becomes as follows:
    .             fraction numerator m a r k minus u p space p e r c e n t space cross times space o r i g i n a l space v a l u e over denominator 100 end fraction space equals space n e w space v a l u e minus space o r i g i n a l space v a l u e                                                                                             
    fraction numerator 22 space cross times space 15 over denominator 100 end fraction space equals space n e w space v a l u e space minus space 15
    3.3 = new value - 15
    Rearranging the above equation we get,
    New value = 15+3.3
    =18.3
    Therefore the new value of daily jog is 18.3 miles.
    So option (b), which is '18.3' is the right answer.
    Grade-7
    Mathematics

    Determine the selling price of pair of anklets is $32 with a 10% of mark-up.

    The cost price of the anklets is $32 and the mark-up percentage is 10%.
    IIt means the increase in the percentage of the cost price is 10%.  
    Let's have a look at the mark-up percentage formula
    m a r k minus u p space p e r c e n t a g e space equals space fraction numerator s e l l i n g space p r i c e space minus cos t space p r i c e over denominator cos t space p r i c e end fraction cross times 100
    From the above formula, we can ses that we have all values except for selling price. And this is exactly the value we are asked to find out. We can rearrange the formula for selling price.  
    To rearrange the forumula we will multiply both the sides by cost price and divide both sides by 100. After doing that we get the following formula.
    fraction numerator m a r k minus u p space p e r c e n t a g e space cross times space cos t space p r i c e over denominator 100 end fraction equals s e l l i n g space p r i c e minus space cos t space p r i c e
    Now let's substitute the values for cost price and mark-up percentage
    fraction numerator 10 x 32 over denominator 100 end fraction = selling price - 32
    3.2 = selling price -32
    Rearranging we get,
    Selling price = 32+3.2
    Selling price = 35.2 
    So selling price of the anklets will be $35.2
    Therefore option (a), which is '35.2' is the right option.

    Determine the selling price of pair of anklets is $32 with a 10% of mark-up.

    MathematicsGrade-7
    The cost price of the anklets is $32 and the mark-up percentage is 10%.
    IIt means the increase in the percentage of the cost price is 10%.  
    Let's have a look at the mark-up percentage formula
    m a r k minus u p space p e r c e n t a g e space equals space fraction numerator s e l l i n g space p r i c e space minus cos t space p r i c e over denominator cos t space p r i c e end fraction cross times 100
    From the above formula, we can ses that we have all values except for selling price. And this is exactly the value we are asked to find out. We can rearrange the formula for selling price.  
    To rearrange the forumula we will multiply both the sides by cost price and divide both sides by 100. After doing that we get the following formula.
    fraction numerator m a r k minus u p space p e r c e n t a g e space cross times space cos t space p r i c e over denominator 100 end fraction equals s e l l i n g space p r i c e minus space cos t space p r i c e
    Now let's substitute the values for cost price and mark-up percentage
    fraction numerator 10 x 32 over denominator 100 end fraction = selling price - 32
    3.2 = selling price -32
    Rearranging we get,
    Selling price = 32+3.2
    Selling price = 35.2 
    So selling price of the anklets will be $35.2
    Therefore option (a), which is '35.2' is the right option.
    parallel
    Grade-7
    Mathematics

    The capacity of a container was increased from 35 gallons to 50 gallons. Determine the percent mark-up.

    For this question, the original capacity is 35 gallons and the new capacity is 50 gallons.
    Now we have to find the mark-up or increase in the original value. The formula for mark-up is as follows:
    Mark-up = new capacity - original capacity
    = 50 – 35
    =15
    So the increase in capacity is 15 gallons
    Let’s find the percentage mark-up. It means a percentage increase in the original value. In this case, the percentage increase in the capacity of gallons is the mark-up percentage. 
    The formula for mark-up percentage is as follows:
                                                     m a r k minus u p space space p e r c e n t a g e equals fraction numerator m a r k minus u p over denominator o r g i n a l space v a l u e end fraction cross times 100
                                                                                                                                               
    For this case we can write, 
                                                   m a r k minus u p space p e r c e n t a g e space equals fraction numerator n e w space c a p a c i t y minus o r g i n a l space c a p a c i t y over denominator o r g i n a l space c a p a c i t y end fraction cross times 100   
    Now we will substitute all the values.
    m a r k minus u p space p e r c e n t a g e space equals space fraction numerator 50 minus 35 over denominator 35 end fraction cross times 100
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
    15 over 35× 100
    = 0.4285 × 100
    = 42.85%.
    So we can see that the percent mark-up in the capacity of the gallon is 42.85%.
    Therefore, option (a), which is '42.85%' is the right option.

    The capacity of a container was increased from 35 gallons to 50 gallons. Determine the percent mark-up.

    MathematicsGrade-7
    For this question, the original capacity is 35 gallons and the new capacity is 50 gallons.
    Now we have to find the mark-up or increase in the original value. The formula for mark-up is as follows:
    Mark-up = new capacity - original capacity
    = 50 – 35
    =15
    So the increase in capacity is 15 gallons
    Let’s find the percentage mark-up. It means a percentage increase in the original value. In this case, the percentage increase in the capacity of gallons is the mark-up percentage. 
    The formula for mark-up percentage is as follows:
                                                     m a r k minus u p space space p e r c e n t a g e equals fraction numerator m a r k minus u p over denominator o r g i n a l space v a l u e end fraction cross times 100
                                                                                                                                               
    For this case we can write, 
                                                   m a r k minus u p space p e r c e n t a g e space equals fraction numerator n e w space c a p a c i t y minus o r g i n a l space c a p a c i t y over denominator o r g i n a l space c a p a c i t y end fraction cross times 100   
    Now we will substitute all the values.
    m a r k minus u p space p e r c e n t a g e space equals space fraction numerator 50 minus 35 over denominator 35 end fraction cross times 100
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
    15 over 35× 100
    = 0.4285 × 100
    = 42.85%.
    So we can see that the percent mark-up in the capacity of the gallon is 42.85%.
    Therefore, option (a), which is '42.85%' is the right option.
    Grade-7
    Mathematics

    David says 60 is 40% of 150. Is he right?

    l e t apostrophe s space c h e c k
60 over 150 cross times 100
6000 over 150
30 percent sign
d a v i d space s a y s space 40 percent sign space s o space d a v i d space i s space w r o n g

    David says 60 is 40% of 150. Is he right?

    MathematicsGrade-7
    l e t apostrophe s space c h e c k
60 over 150 cross times 100
6000 over 150
30 percent sign
d a v i d space s a y s space 40 percent sign space s o space d a v i d space i s space w r o n g
    Grade-7
    Mathematics

    Determine the whole, if 49% of whole is 98.

    49 over 100 cross times w h o l e space equals space 98
w h o l e space equals space fraction numerator 98 cross times 100 over denominator 49 end fraction
w h o l e space equals space 200

    Determine the whole, if 49% of whole is 98.

    MathematicsGrade-7
    49 over 100 cross times w h o l e space equals space 98
w h o l e space equals space fraction numerator 98 cross times 100 over denominator 49 end fraction
w h o l e space equals space 200
    parallel
    Grade-7
    Mathematics

    A car is having 18 gallons gas, that is 75% of its capacity. The full capacity of the tank is _______ gallons.

    18 over X cross times 100 space equals space 75
X space equals space 1800 over 75
X space equals space 24 space a n s w e r

    A car is having 18 gallons gas, that is 75% of its capacity. The full capacity of the tank is _______ gallons.

    MathematicsGrade-7
    18 over X cross times 100 space equals space 75
X space equals space 1800 over 75
X space equals space 24 space a n s w e r
    Grade-7
    Mathematics

    If 86% of a is 340. The value of a is __________.

    86 over 100 cross times a equals 340
a equals fraction numerator 340 cross times 100 over denominator 86 end fraction
a equals 395.35

    If 86% of a is 340. The value of a is __________.

    MathematicsGrade-7
    86 over 100 cross times a equals 340
a equals fraction numerator 340 cross times 100 over denominator 86 end fraction
a equals 395.35
    Grade-7
    Mathematics

    56% of 290 is _________.

    56% that's mean 56 over 100
    56 over 100 cross times 290 equals 0.56 cross times 290 equals 162.4

    56% of 290 is _________.

    MathematicsGrade-7
    56% that's mean 56 over 100
    56 over 100 cross times 290 equals 0.56 cross times 290 equals 162.4
    parallel
    Grade-7
    Mathematics

    Determine 22% of 900.

    22 % that's mean 22 over 100
    and 22 % of 900
    22 over 100 cross times 900 equals 0.22 cross times 900 equals 198

    Determine 22% of 900.

    MathematicsGrade-7
    22 % that's mean 22 over 100
    and 22 % of 900
    22 over 100 cross times 900 equals 0.22 cross times 900 equals 198
    Grade-7
    Mathematics

    An apartment is put on sale for $10000, if it was sold for 78% of the sale price after negotiation, $______ was give by the bidder to buy the apartment.

    $X was give by the bidder to buy the apartment.
    X over 10000 cross times 100 space equals space 78
X space equals 780000 over 100
X space equals space 7800 $ space a n s w e r

    An apartment is put on sale for $10000, if it was sold for 78% of the sale price after negotiation, $______ was give by the bidder to buy the apartment.

    MathematicsGrade-7
    $X was give by the bidder to buy the apartment.
    X over 10000 cross times 100 space equals space 78
X space equals 780000 over 100
X space equals space 7800 $ space a n s w e r
    Grade-7
    Mathematics

    A student scores 45 marks in first attempt and 60 in second attempt. ________ percent of this year marks is her previous score.

    he got 45 marks in first attempt,  60 in second attempt
    so percent of this year marks is her previous score.
    45 over 60 cross times 100 equals 0.75 cross times 100 equals 75 percent sign

    A student scores 45 marks in first attempt and 60 in second attempt. ________ percent of this year marks is her previous score.

    MathematicsGrade-7
    he got 45 marks in first attempt,  60 in second attempt
    so percent of this year marks is her previous score.
    45 over 60 cross times 100 equals 0.75 cross times 100 equals 75 percent sign
    parallel
    Grade-7
    Mathematics

    A golf player wins 15 matches in a 30-match tour. If the same player wins 25 matches this year. Determine the winning percent of last year of the winnings this year.

    15 over 25 cross times 100 space
15 cross times 4
60 space percent sign

    A golf player wins 15 matches in a 30-match tour. If the same player wins 25 matches this year. Determine the winning percent of last year of the winnings this year.

    MathematicsGrade-7
    15 over 25 cross times 100 space
15 cross times 4
60 space percent sign
    Grade-7
    Mathematics

    250 pounds is _____% of 1250 pounds.

    percentage = fraction numerator g i v e n space n u m b e r over denominator t o t a l space n u m b e r space end fraction cross times 100
    250 over 1250 cross times 100 equals 0.2 cross times 100 equals 20 percent sign

    250 pounds is _____% of 1250 pounds.

    MathematicsGrade-7
    percentage = fraction numerator g i v e n space n u m b e r over denominator t o t a l space n u m b e r space end fraction cross times 100
    250 over 1250 cross times 100 equals 0.2 cross times 100 equals 20 percent sign
    Grade-7
    Mathematics

    David says 35 is 15% of 50. Is he right?

    STEP BY STEP SOLUTION
    15 over 100 cross times 50 equals 15 over 2 equals 7.5
    As 15% of  50 is 7.5 not 35 so he is saying incorrect

    David says 35 is 15% of 50. Is he right?

    MathematicsGrade-7
    STEP BY STEP SOLUTION
    15 over 100 cross times 50 equals 15 over 2 equals 7.5
    As 15% of  50 is 7.5 not 35 so he is saying incorrect
    parallel

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