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A shopkeeper earns a profit of 40% on the cost price of an article after giving three consecutive discounts of 5%, 10%, and 15% to a customer. What would have been the profit percentage -

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Question

A shopkeeper earns a profit of 40% on the cost price of an article after giving three consecutive discounts of 5%,  10%, and 15% to a customer. What would have been the profit percentage, has the shopkeeper given discounts of 5% and 10% only?   

Options

  • 74.71 %

  • 64.71%

  • 66.71%

  • 59.71 %

MCQ

Solution

64.71%

Explanation:

C.P × 140% = `"M.P." xx (100 - 5)/100 xx (100 - 10)/100 xx (100 - 15)/100`

`"C.P" xx 14/10 = "M.P." xx 19/20 xx 9/10 xx 17/20`

`("C.P")/("M.P.") = 2907/5600`

If just give 5% & 10% discount

S.P

Profit = 4788 − 2907

= 1881

Profit(%) = `1881/2907 xx 100`

= 64.71%

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Profit and Loss (Entrance Exam)
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