Question

A shopkeeper sets the marked price of an item at 50% higher than its cost price. He then offers two successive discounts of 20% and m% on the marked price, resulting in an overall loss of 16% on the transaction. What is the value of m ?

Q: Answer-A shopkeeper sets the marked price of an item at 50% higher than its cost price. He then offers two...

Let the cost price of the article be Rs. x Marked price of the article x X 1.5 Rs. 1.5x Selling price of the article x X 0.84 Rs. 0.84x 1.5x X 0.8 X 1 - m100 0.84x Or, 1 - m100 0.84x1.2x Or, 1 - m100 0.7 Or, m100 0.3 So, m 30

A 25

B 30

C 20

D 15

E 10

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A shopkeeper sets the marked price of an item at 50% higher than its cost price. He then offers two successive discounts of 20% and m% on the marked price, resulting in an overall loss of 16% on the transaction. What is the value of m ?

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