Multiple choice

The profit earned by a shopkeeper by selling a bucket at a gain of 8% is Rs. 28 more than when he sells it at a loss of 8%. The cost price (in rupees) of the bucket is

  1. 170

  2. 190

  3. 175

  4. 165
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let CP be x. Gain of 8% means SP = 1.08x. Loss of 8% means SP = 0.92x. Difference = 1.08x - 0.92x = 0.16x. Given 0.16x = 28. x = 28 / 0.16 = 175.

AI explanation

Let the cost price be CP, so the selling price at an 8 percent gain is 1.08CP and the selling price at an 8 percent loss is 0.92CP. The difference between the two selling prices is 1.08CP - 0.92CP = 0.16CP. This difference is given as Rs. 28, meaning 0.16CP = 28. Dividing 28 by 0.16 yields a cost price of Rs. 175.

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