A man purchased a carriage and horse in Rs.1500. By selling the horse at 10% loss and carriage at 20% profit he earned a profit of 8% on the whole transaction. What is the price of carriage (in Rs.)?Options500650900400
Question
A man purchased a carriage and horse in Rs.1500. By selling the horse at 10% loss and carriage at 20% profit he earned a profit of 8% on the whole transaction. What is the price of carriage (in Rs.)?Options500650900400
Solution
To solve this problem, we need to set up a system of equations based on the information given in the problem.
Let's denote the cost of the horse as H and the cost of the carriage as C.
From the problem, we know that:
H + C = 1500 (since the man purchased both for Rs.1500)
We also know that the man sold the horse at a 10% loss and the carriage at a 20% profit, but overall made an 8% profit. This gives us the equation:
0.9H + 1.2C = 1.08 * 1500
Solving these two equations simultaneously will give us the cost of the carriage.
First, let's multiply the first equation by 0.9:
0.9H + 0.9C = 1350
Now, subtract this from the second equation:
0.3C = 90
Solving for C gives:
C = 90 / 0.3 = 300
So, the cost of the carriage is Rs.300. However, this is not one of the options given. There might be a mistake in the problem or in the options provided.
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