Question

Two goats were bought at the same cost.One was sold at the profit of 8% and the other was sold at the loss of 10%. What is the cost price of each goat, if the actual difference of the selling prices were rupees 180​

Answer 1

Answer:

Case I

Let the CP of one goat be Rs x

Profit percentage = 8%

SP = (1+ p/100) of CP

= (1+8/100) × Rs x

= Rs (x + 2x/25)

= Rs 27x/25

Case II

Let the CP of the other goat be Rs x

Loss percentage = 10%

SP = (1- l/100) of CP

= (1- 10/100) of Rs x

= Rs (x-x/10)

= Rs 9x/10

Case III

The difference between 2 SP = Rs 180

By condition,

27x/25 - 9x/10 = 180

54x-45x/50 = 180

9x/50 = 180

x = 180×50/9

x = 1000

So, the CP of each goat is Rs 1000