Car repair

John bought a car for a certain sum of money. He spent 10% of the cost to repairs and sold the car for a profit of Rs. 11000. How much did he spend on repairs if he made a profit of 20%?

Correct result:

r =  1222.2222 Rs

Solution:

11000 = p
r = 0.10 c
p = c - r



11000 = p
r = 0.10•c
p = c - r

p = 11000
0.1c-r = 0
c-p-r = 0

c = 110000/9 ≈ 12222.222222
p = 11000
r = 11000/9 ≈ 1222.222222

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