Since prices of mangoes went up by 20%, a housewife was able to purcha

Question

Since prices of mangoes went up by 20%, a housewife was able to purchase 4 mangoes less in for $60. What was the original price of each mango?

A. $2
B. $2.2
C. $2.4
D. $2.5
E. $3

TestPrepUnlimited · Answer

Let the original price of mangoes be x, then the quantity of mangoes purchased with $60 is 60/x. After an increase in price, the quantity would be 60/(1.2x) = 50/x. We can set up an equation on the differences of quantity to get:  \frac{60}{x} = \frac{50}{x} + 4  and multiply by x,  60 = 50 + 4x ,  x = 2.5 .

This question can be answered by plugging in the answer choices as well. 
For B 2.2 cannot divide 60 cleanly so it can be eliminated. For C 2.4*1.2 is not a nice number and also cannot divide 60 cleanly, we can eliminate it as well.
Try A: 60/2 = 30, 60/2.4 = 25. A difference of 5 mangoes, not the answer.
Try D: 60/2.5 = 24. 60/3 = 20. A difference of 4 mangoes, this is the answer.

Ans: D

Archit3110 · Answer

from given info

60/x - 60/1.2x = 4
solve for x = 2.5
IMO D

SwethaReddyL · Answer

hi  Bunuel , if one had to assume number, how would the approach be like?
i couldn't form an algebraic solution, but i couldn't think on how to pick numbers too
i considered initially mangoes bought was 10 and after the increase in price only 6 can be bought.
6 for 60 is 10 dollars per mango
if 10 is 1.2x, then i am stuck

could you please help

thanks in advance,
swetha

Bunuel · Answer

Assuming numbers is not a good approach here because the quantities are already fixed by the information in the question. Randomly chosen numbers may not satisfy the given conditions. In this case, the original number of mangoes was 24, and after the price increase, it was 20.

SwethaReddyL · Answer

how do you solve this question please

Bunuel · Answer

Since prices of mangoes went up by 20%, a housewife was able to purchase 4 mangoes less in for $60. What was the original price of each mango?

A. $2
B. $2.2
C. $2.4
D. $2.5
E. $3

Let the original price of each mango be x dollars.

After a 20% increase, the new price is 1.2x dollars.

For $60, the number of mangoes purchased decreased by 4:

60/x - 60/(1.2x) = 4

60/x - 50/x = 4

10/x = 4

x = 2.5

Answer: D.

Since prices of mangoes went up by 20%, a housewife was able to purcha

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Since prices of mangoes went up by 20%, a housewife was able to purcha

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