Multiple choice

A shopkeeper marks the selling price of his goods in such a way that after giving a discount of 10%, he gains 17%. How much percent above the cost price is the marked price?

  1. 36%

  2. 27%

  3. 30%

  4. 40%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let CP = 100. Gain = 17%, so SP = 117. Discount = 10%, so 0.9 * MP = 117. MP = 117 / 0.9 = 130. The marked price is 30% above the cost price.

AI explanation

Let the cost price be 100, which means a 17% gain sets the selling price at 117. If the marked price is subjected to a 10% discount, the selling price is 90% of the marked price, so 0.90 times the marked price equals 117. Solving for the marked price gives 130, which is 30% above the cost price.

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