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A shopkeeper marks up the price of the oil by 40% and uses a faulty machine which measures 15% less. If the shopkeeper gives a discount of 32%, the pr
Question

A shopkeeper marks up the price of the oil by 40% and uses a faulty machine which measures 15% less. If the shopkeeper gives a discount of 32%, the profit/loss percentage is:

A.

15% Loss

B.

25% Profit

C.

18% Loss

D.

12% Profit

Correct option is D

Given:
Marks up the price of the oil = 40%
Less measures = 15%
Discount =32%
Solution:
Let the price of the oil be Rs. 100
MP of oil = 100 ×140100\frac{140}{100}​= 140
Shopkeeper uses a faulty machine which measures 15% less.
Then the actual CP = 100 ×85100\frac{85}{100}​=85
Discount will be on MP = 140 ×68100\frac{68}{100}​=95.2
As per the question,
Profit% = 95.28585\frac{95.2-85}{85}​ ×100
10.285\frac{10.2}{85}​ ×100= 12%
Alternate Method: Ratio method
CP : SP
100 : 140
(100-15) = 85 : 100
100 : (100-32) = 68
_________________________________________________________
100 × 85 × 100 : 140 ×100 × 68
100 × 85 : 140 ×68
25 : 28
Profit% = 282525\frac{28 - 25}{25}​ ×100=12%

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