Aly purchased a shipment of solar panels and sold [m] frac{

Question

Aly purchased a shipment of solar panels and sold $\tfrac{2}{5}$ of the panels in May for the purchase cost of the entire shipment. She then sold $\tfrac{9}{10}$ of the remaining panels at a 60% discount from the May selling price per panel and donated the rest to charity. What percent profit did Aly make?

(A) 30%
(B) 36%
(C) 40%
(D) 50%
(E) 54%

(A) 30%
(B) 36%
(C) 40%
(D) 50%
(E) 54%

pappal · Answer

let he purchased s panels for total cost price of $p in May.
in May he sold s*2/5 panels for selling price of $p.----------(i)
later he sold 9/10 of s*3/5 at 40% price per panel of the earlier selling price.(rest is for the charity)
 
so 9/10* s * 3/5 * 0.4 * 5p/2s=54p/100------(ii)
net profit= /p *100%=54%
E

SS990 · Answer

Everything is percentage here so best way is to assume appropriate values -
if no of panels is 100 and each costs 2, total cost price is 200
2/5th of 100 is 40 which is sold at 200, so per panel SP is 5.
Now this is discounted by 60%, so SP is now 40% of 5 which 2.
Remaining panels after selling 40 is 60. 9/10th of 60 is sold which is 54 at 2 each. Total SP is 108
for profit % calc the second sale is enough, 1st sale has already helped break even or equalise cost.

(108/200)% = 54% (e)

vasu1104 · Answer

say total panel = 100x
purchase cost per panel = 100p
total revenue = 10000px

now in may sold 2/5 of total panel.
so total sold in may = 40x
and left= 60x

now this 40x are being sold at purchase cost of actual entire shipment. that means these 40x were sold at total price of 10000px.
so now price for 1 panel = 10000px / 40x =250p.
so total revenue = 10000px

now she sold 9/10 of remaining, that means she sold 54 and left are only 6.
she sold these 54 at 40% of may selling price.
so sp = (2/5) * 250p = 100p

so total revenue from this sale = 54x * 100p = 5400px

now the last 6 are donated so no revenue from it. just loss.

so total revenue = 10000px + 5400px= 15400px
total cost = 10000px

profit = 5400px

percentage of profit = 5400px/ 10000px = 54%
option E

Aly purchased a shipment of solar panels and sold [m]\tfrac{

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions