Question

A traveller wants to earn `6(2/3)` % profit even after allowing a discount of 20%. Find by how much % he has to increase his cost price to make M.P.?

A 25% Correct Answer Incorrect Answer
B 16(2/3)% Correct Answer Incorrect Answer
C 33(1/3)% Correct Answer Incorrect Answer
D 15% Correct Answer Incorrect Answer

Solution

Profit% = 6(2/3)% = 1/15 So, CP = 15 & SP = 16 Discount = 20% = 1/5 So, MP = 5 SP = 5 - 1 = 4 Make, SP same in both cases CP = 15 SP = 16 MP = 20 CP SP MP 15 : 16 : 20 Different b/w CP & MP = 5 % Required ⇒ 5/15 × 100 = 33(1/3)% Alternate method: Profit % = (M+ D+ MD/100)% 20/3 % = M+(-20) + M(-20)/100% 80/3% = M*80/100 So M % = 100/3% = 33(1/3)%

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