Latest CAT Aptitude Question SOLUTION: a shopkeeper listed the price of goods at 30% above the cost price.he sells half the stock at this price.one fourth of a stock at a discount of 15% and remaining at 30% discount.hi

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(#M40076758) CAT Category question ss Keep an EYE

a shopkeeper listed the price of goods at 30% above the cost price.he sells half the stock at this price.one fourth of a stock at a discount of 15% and remaining at 30% discount.his overall profit is?

Asked In CAT MohanRaj (9 years ago)

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Pradeep  (9 years ago)

Listed Price L =1.3 C

Let there be 100 products. Total cost = 100 C

50% goods, he sells at list price, so total selling amount = 1.3 C X 50
25% goods, he sells at discount of 15%, so amount = (1.3 C X 0.85) X 25
Remaining (i.e. 25%), at 30% discount, so amount = (1.3 C X 0.70) X 25

Total Selling price = 65 C+ 27.625 C + 22.75 C = 115.375 C

Profit = 115.375 C -100 C = 15.375 C

Profit % = 15 3/8 %

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Panna Lal Patodia  (9 years ago)

Solution 1: Short Cut Method:
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Net profit of shopkeeper is on 1/4th of stock at 15%. Remaining goods sold at 30% profit and 30% discount, so no profit, no loss.

So, actual profit is on 1/4th of stock at 15% (+30% - 15% discount).

So, Profit percent is 15/4% = 3.75%

Solution 2: Arithmetic Method:
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Assume that cost of goods is Rs. 240.
On 1/2, shopkeeper get profit of 30% = Rs. 120*30% = +36
On 1/4th, he gives discount of 15%. = Rs. 60*15% = -9
On remaining 1/4th, he gives discount of 30%. = Rs. 60*30% = -18

Net Profit on Rs. 240 = Rs. 36 - 9 - 18 = Rs. 9

Profit Percent = 9*100/240 = 15/4% = 3.75%

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