Question

Find the Cost Price of the Horse
A man bought a horse and a carriage for Rs. 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 1

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.