Question 20

A sells an ariticle to B for Rs. 45,000 losing 10% in the transaction. B sells it to C at a price which would have given a profit of 10% to A. By what per cent does B gain?

Solution

Cost price (CP), Selling price (SP), Profit (P)

A sells an ariticle to B for Rs. 45,000 losing 10%

therefore A's CP = $$ 45000 \times \frac{100}{90} = 50000 $$

B sells it to C at profit of 10% to A.

therefore, B's CP = $$ 50000 \times \frac{110}{100} = 55000 $$

B's CP = A's SP = 45000

B's P% = $$ \frac{10000}{45000} \times 100 = \frac{200}{9} $$

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