Multiple choice

A trader sold a cycle at a loss of 10%. If the selling price were increased by Rs. 200, there would have been a gain of 6%. The cost price of the cycle was

  1. Rs. 1,200

  2. Rs. 1,205

  3. Rs. 1,250

  4. Rs. 1,275
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let CP = x. Loss 10% means SP = 0.9x. Gain 6% means SP = 1.06x. Difference = 0.16x = 200. x = 200 / 0.16 = 1250.

AI explanation

The difference between a 6 percent gain and a 10 percent loss is a total change of 16 percent of the cost price. This 16 percent difference equals the price increase of Rs. 200. Using the percentage base formula, Cost Price equals 200 divided by 0.16, which calculates to Rs. 1250.

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