Multiple choice

A person bought 76 cows and sold 20 cows at 15% profit, 40 cows at 19% profit and remaining 16 cows at 25% profit and got a profit of Rs. 6570 as a whole. The cost price of each cow is-

  1. Rs. 450

  2. Rs. 425

  3. Rs. 420

  4. Rs. 400
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A Correct answer
Explanation

Let CP = x. Total profit = 20×0.15x + 40×0.19x + 16×0.25x = 3x + 7.6x + 4x = 14.6x. Given profit = Rs. 6570, so 14.6x = 6570, x = 6570/14.6 = Rs. 450. Verification: 20 cows → Rs. 1350 profit, 40 cows → Rs. 3040 profit, 16 cows → Rs. 1800 profit. Total = Rs. 6570.

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