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A trader purchases muslin cloth at Rs. 2300. He sells it to P at 10% loss. P sells the same cloth at 12.5% profit to Q; Q increases the price by 5% and then gains 10% on the said price to R. Calculate difference between selling price of cloth for Q and P. 


1. Rs. 289.45
2. Rs. 360.95
3. Rs. 382.95
4. Rs. 259.65
5. None of these

1 Answer

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Best answer
Correct Answer - Option 2 : Rs. 360.95

Given:

C.P. for trader = Rs. 2300

Trader to P = 10% loss

P to Q = 12.5% profit

Q = Increases price by 5%

Q to R = 10%

Formula:

Profit% = (S.P. – C.P. / C.P.) × 100

Loss % = (C.P. – S.P. / S.P.) × 100

S.P. = C.P. (1 + (profit%/ 100))

S.P. = C.P. (1 - (loss%/ 100))

Calculation:

Selling price for trader = 2300 (1 – 0.10)

⇒ Selling price for trader = 2300 × 0.90

⇒ Selling price for trader = cost price for P = Rs. 2070

⇒ Selling price for P = 2070 × (1 + 0.125)

⇒ Selling price for P = 2070 × 9/ 8

⇒ Selling price for P = 2328.75

S.P. for P = C.P. for Q

Now, Q increases price by 5%

⇒ Increased price = 2328.75 × 1.05

⇒ Increased price = Rs. 2445.19

⇒ S.P. for Q = 2445.19 × (1.10)

⇒ S.P. for Q = 2689.70

Required difference = 2689.70 – 2328.75

required difference is Rs. 360.95

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