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Jack gave 20% discount on sale of 15 toys & generated

Expert replies
by M7MBA » Thu May 31, 2018 1:35 am

Timer

00:00

Answers

A

B

C

D

E

Stats

Difficulty—

Jack gave 20% discount on the sale of 15 toys and generated revenue of 600$. He earned 25% profit on this sale. Next day he sold 20 toys without any discount. What is his gross profit in two days?

a) 240 $
b) 360 $
c) 480 $
d) 510 $
e) 550 $

The OA is the option C.

I am really confused with this question. Could anyone clarify it for me? Please. Thanks in advance.
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Source: — Problem Solving |

by GMATGuruNY » Thu May 31, 2018 3:32 am
M7MBA wrote:Jack gave 20% discount on the sale of 15 toys and generated revenue of 600$. He earned 25% profit on this sale. Next day he sold 20 toys without any discount. What is his gross profit in two days?

a) 240 $
b) 360 $
c) 480 $
d) 510 $
e) 550 $
First day:
$600 in revenue yields a profit of 25% = 1/4.
Implication:
The $600 in revenue is equal to 5/4 of the cost of 15 toys:
600 = (5/4)C
C = 480.
Thus:
Profit for the 15 toys on the first day = (revenue) - (cost) = 600-480 = 120.

Second day:
The $600 first-day revenue includes a discount of 20% = 1/5.
Implication:
$600 is equal to 4/5 of the normal revenue for 15 toys:
600 = (4/5)R
R = 750.
Normal profit for 15 toys = (normal revenue) - (cost of 15 toys) = 750-480 = 270.
Since 15 toys normally generate $270 in profit, the normal profit per toy = 270/15 = 18.
Thus, the normal profit yielded by 20 toys sold on the second day = 18*20 = 360.

Total profit for the two days = (first-day profit) + (second-day profit) = 120 + 360 = 480.

The correct answer is C.
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by Jeff@TargetTestPrep » Fri Jun 01, 2018 11:58 am
M7MBA wrote:Jack gave 20% discount on the sale of 15 toys and generated revenue of 600$. He earned 25% profit on this sale. Next day he sold 20 toys without any discount. What is his gross profit in two days?

a) 240 $
b) 360 $
c) 480 $
d) 510 $
e) 550 $
We can create the equation:

P = 0.25C

600 - C = 0.25C

600 = 1.25C

480 = C

So his profit for the first day was 600 - 480 = $120, and each toy cost Jack 480/15 = $32. Since he sold each toy for 600/15 = $40, which was discounted 20% from the original selling price, the original selling price was 40/0.8 = $50.

Therefore, when he sold 20 toys the following day at the original selling price, he made a total 50 x 20 = $1000, and the total cost is 32 x 20 = $640.

Therefore, his profit on the second day was 1000 - 640 = $360, and his total profit for the two days was 120 + 360 = $480.

Answer: C

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