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
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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.
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