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

Anurag Mishra Professor Asked on 19th April 2016 in Maths.
Add Comment
1 Answer(s)

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.

Anurag Mishra Professor Answered on 20th April 2016.
Add Comment

Your Answer

By posting your answer, you agree to the privacy policy and terms of service.