Question

A tradesman gives 6% discount on the market price and gives 1 article free for buying every 11 articles and thus gains 30%. The marked price is approximately increased above the cost price by

A 41% Correct Answer Incorrect Answer
B 47% Correct Answer Incorrect Answer
C 51% Correct Answer Incorrect Answer
D 39% Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

Let the CP of each article be Rsx Then, CP of 12 articles = Rs 12 x S.P of 12 articles = 130% of Rs 12x = Rs(78x)/5 S.P of 1 article = Rs(78x)/5 × 1/11 = Rs(78x)/55 If S.P is Rs 94, M.P = Rs 100 If S.P is Rs(78x)/55, M.P = (100/94) × (78x)/55 = Rs780/517 Increase in MP over C.P = (780/517) - x)/x × 100 = 50.8% ≈ 51%

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