Multiple choice

Choose the correct answer from the alternatives given. A man bought two goats for Rs. $1008$. He sold one at a loss of $20\%$ and other at a profit of $44\%$. If each goat was sold for the same price. The cost price of the goat which was sold at loss, was

  1. Rs. $648$
  2. Rs. $360$
  3. Rs. $568$
  4. Rs. $440$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let CP1 = x, CP2 = 1008-x. SP1 = 0.8x, SP2 = 1.44(1008-x). 0.8x = 1.44(1008-x). 0.8x = 1451.52 - 1.44x. 2.24x = 1451.52. x = 648.

AI explanation

Let the cost price of the first goat be x and the second goat be y; the equation is x + y = 1008. The first goat is sold at a 20% loss, so its selling price is 0.80x, and the second is sold at a 44% profit, making its selling price 1.44y. Since the selling prices are equal, 0.80x = 1.44y, which simplifies to x = 1.8y. Substituting this into the first equation gives 1.8y + y = 1008, meaning y = 360. The cost price of the first goat is x = 1.8 x 360, which equals Rs. 648.

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