Question

John bought a car for a certain sum of money.he spent 10%of the cost on repairs and sold the car for a profit of Rs11000.how much did he spend on repairs if he made a profit of 20%?

Answer 1

Answer:

Let CP be the cost price of the car (inclusive of repair cost)

Now, we have

Profit (P) = 11,000

Profit (%) = 20

Profit (%) = 100*P/CP

20 = 100*11000/CP

CP = 100*11000/20

     = 55000

Now, this CP includes original cost price (say, C) and repairs (say, R)

Hence, C + R = 55000

We are given that R is 10% of C. Hence R = 0.1*C

So, C + 0.1*C = 55000

1.1*C = 55000

C = 55000/1.1 = 50000

The original buying price of the car is Rs.50000

Check:

Amount spent on repairs = 5000

Total cost of car = 55000

Profit = 11000 Hence selling price = 66000

Profit (%) = 100*11000/55000 = 20%

Step-by-step explanation:

Answer 2

Answer is rupees 5000

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