Multiple choice

A man purchased 2 goats for Rs. 1008. He sells the first goat at 20% loss and the second goat at 44% profit. If the selling price of each goat is equal, then find the cost price of the goat which is sold at a loss.

  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

Using the equal selling price condition, 0.8 times the cost price of the first goat equals 1.44 times the cost price of the second goat, resulting in the ratio 9 to 5. The total cost of Rs. 1008 is divided into 14 parts, making one part equal to 72. The cost price of the goat sold at a loss, representing 9 parts, is 9 multiplied by 72, which is Rs. 648.

Keep practicing — related questions