# What did A pay?

A sells a bicycle to B at a profit of 20 % and B sells to C at a profit of 25 %. If C pays 225 for it, what did A pay for it?

- 175
- 125
- 200
- 150

**Answer: (4) 150**

**Explanation:-
**Let the cost price of a cycle = Rs. X

A sells a bicycle to B at a profit of 20%,

Then, B pay for this bicycle = X x 120/100

= Rs. 6 X/5

B sells to C at a profit of 25%,

Then, C pays for the bicycle = 6 X x 125/5 x 100

= 6 X/4

= Rs. 3 X/2

If C pays 225 for it, (Given in the question)

Then, 3 X/2 = 225

X = 225 x 2/3

X = 75 x 2

X = Rs. 150

Then, Rs. 150 A pays for it.

Hence, the answer is (4) 150.