Multiple choice

Shridhar bought two buffaloes 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 buffaloes is the same. Find the cost price of each ( in Rs)

  1. $10000, 20000$
  2. $15000, 15000$
  3. $17500, 12500$
  4. $16000, 14000$
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). 0.85x = 1.19(30000-x). 0.85x = 35700 - 1.19x. 2.04x = 35700. x = 17500. CP1 = 17500, CP2 = 12500.

AI explanation

Let the cost prices of the first and second buffaloes be x and (30000 - x). Using the given profit and loss percentages, the selling prices are 0.85x and 1.19(30000 - x), which we set equal to each other. Solving 0.85x = 35700 - 1.19x gives 2.04x = 35700, so x equals 17500. The cost price of the second buffalo is 30000 - 17500, making the two prices Rs. 17500 and Rs. 12500.

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