Question

When a shopseller offers a discount of d% on item A and (d + 5)% on item B, quoting an equal marked price on both the items. If the ratio of S.P of item A to that of B is 18:17, then what will be the discount % offered on item A and item B individually.

A 5% and 15% Correct Answer Incorrect Answer
B 15% and 17% Correct Answer Incorrect Answer
C 10% and 15% Correct Answer Incorrect Answer
D 20% and 25% Correct Answer Incorrect Answer
E none of these Correct Answer Incorrect Answer

Solution

ATQ, Let the Marked price of item A and item B be Rs.100 each.  Given that discount on A is d% and discount on B is (d + 5)% Only from choice (3) we get that answer.  Discount on Item A = 10% of 100 = 10.  SP of A = 100 - 10 = 90 Discount on Item B = 15% of 100 = Rs.15  SP of B = 100 - 15 = 85 The ratio of SP of A & B = 90:85 = 18/17  which satisfies the given condition by taking 10% and 15% discounts on items A and B.

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