Question

If Four goats and two sheep’s cost Rs.2500, while six goats and five sheep’s cost Rs.6000. Find

the cost of one goat and one sheep separately

Answer 1

Answer: Cost of one goat = Rs 62.50 and Cost of one sheep Rs 1125.

Explanation:

Let x = Cost of one goat and y= Cost of one sheep.

As per given,

4x+2y= 2500 (i)

6x+5y= 6000 (ii)

Multiply (i) by 3 , we get

12x + 6y = 7500 (iii)

Multiply (ii) by 2 , we get

12 x + 10y = 12000 (iv)

Eliminate (iii) from (iv)

10y- 6y = 12000 - 7500

⇒ 4y = 4500

⇒ y = 1125

Put y =1125 in (i)

4x+2(1125)= 2500

⇒ 4x+2250= 2500

⇒ 4x =2500-2250

⇒ 4x =250

⇒ x= 62.50

Hence, Cost of one goat = Rs 62.50 and Cost of one sheep Rs 1125.