Multiple choice

Srikant bought two cows for Rs. $30000$. By selling one at a loss of $15\%$ and the other at a gain of $19\%$, he found that selling price of both cows is the same. Find the cost price of each ( in Rs).

  1. $10000, 20000$
  2. $15000, 15000$
  3. $17500, 12500$
  4. $17000, 12500$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let CP1 = x, CP2 = 30000 - x. SP1 = 0.85x, SP2 = 1.19(30000 - x). Since SP1 = SP2, 0.85x = 35700 - 1.19x. 2.04x = 35700. x = 17500. The other CP is 12500.

AI explanation

Let the cost prices of the two cows be x and (30000 minus x). Setting their selling prices equal gives 0.85x equals 1.19(30000 minus x), since a 15% loss uses a multiplier of 0.85 and a 19% gain uses 1.19. Solving this equation, 0.85x plus 1.19x equals 35700, resulting in 2.04x equal to 35700. The cost prices are x equals 17500 and the other is 12500.

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