A grocer buys apples for 63c per pound. If 10% of the apples goes bad

Question

A grocer buys apples for 63¢ per pound. If 10% of the apples goes bad and he still wants to make a 20% profit over his purchase price, what should be the sales price?

A) 66¢
B) 70¢
C) 75¢
D) 77¢
E) 84¢

Source : BARRONS - Gmat Math Workbook

ENGRTOMBA2018 · Answer

The OA should be E and not D

Let the grocer buys 10 lb of apples @63 cents per lb. Total purchase price = 0.63*10 = 6.3$

'Good' apples =0.9*10=9lb

Let p be the price per lb of apple that he sold at

Thus, per the question --->  \frac{9p-6.3}{6.3} = 0.2  -----> p = 0.84 $ / lb. E is the correct answer.

rohit8865 · Answer

for making calculation simple let us consider he buys 10pounds @ 63/pound=630¢ in total .
10% apples lost...means 9 pounds left.
further he wants 20% profit on 630 ¢
means he wants to earn 756¢
sales price should be 756/9==¢ 84
Ans E

thapliya · Answer

He spent 63 cents for 1 pound...
10 % apple were bad... so he effectively bought 0.9 pound for 63 cents...
so cost price per pound for him = 63/0.9 = 70 cents...

Now he wants a 20% profit on this price... so his selling price will be 70*1.2 = 84 cents

Joc456 · Answer

I picked an easy number for the number of pounds 10.

So if he bought 10lbs he paid $6.30 cents. However 10% (1lb) was rotten, so he really paid $6.30 for 9lbs.

6.3/9=0.70 (actual amount he paid per lb). He wants to make a 20% profit per lb. 0.70+20%=0.84. E

KrishnakumarKA1 · Answer

Let us assume that he bought x pounds. 
CP = 63x. 
If 10% of apple goes bad that mean he has 0.9x apple. 
SP for 0.9x should be 63x*1.2=75.6x
Sp per pound will be 75.6x/0.9x = 84. Option E

shashankism · Answer

After 10% apple goes bad only 90% apple is left.
SO, lets say there is only 100 pound of apple. Now apple left = 90 pound.
Also cost price = 63¢ per pound
So, grocer wants to get a total value of money = 63*1.2*100 ¢

Now let the actual sales price be x 
So, x * 90 = 63 * 1.2 * 100 
x = 7 * 1.2 * 10 = 84 ¢

Answer E

gps5441 · Answer

Let there be 10 apples
Cost of apples=63*10=630
20% of 630=1.2X630=756.
10% apples go bad only 9 are left out of 10.
Let x be the selling price.
9x=756
X=756/9=84

JeffTargetTestPrep · Answer

We can let n = the number of apples purchased. The cost to the grocer for the n apples is 63n cents. Since 10% go bad, 0.9n apples are sold. We can let the sales price of each apple = p cents and create the following equation:

0.9np - 63n = 0.2(63n)

0.9np - 63n = 12.6n

0.9np = 75.6n

p = 84

Answer: E

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A grocer buys apples for 63c per pound. If 10% of the apples goes bad

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