# A man bought a horse and a carriage for 30,000

A man bought a horse and a carriage for 30,000. He sold the horse at a profit of 20% and the carriage at a loss of 10%. Finally he gains 2% on the whole. The cost of the horse is

(1) Rs. 9,000

(2) Rs. 10,000

(3) Rs. 12,000

(4) Rs. 15,000

**Answer: (3) Rs.12,000**

**Solution:-**

The cost price of a horse and a carriage = Rs.30,000

Profit 2%

Then, Profit = 30,000 x 2/100

= Rs.600

Let the cost price of horse be Rs.X

Then, price of a carriage = 30,000 – X

He sold the horse at a profit of 20% and the carriage at a loss of 10%.

Then, X x 120/100 + (30,000 – X) x 90/100 = 30,000 + 600

120 X/100 + 30,000 x 90/100 – 90 X/100 = 30,000 + 600

30 X/100 + 27,000 = 30,600

3 X/10 = 30,600 – 27,000

3 X/10 = 3,600

3 X = 3,600 x 10

X = 36,000/3

X = 12,000

Then, the cost of the horse is Rs.12,000.

Hence, the correct answer is option (3) Rs.12,000.