Question

A sells a bicycle to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays Rs. 225 for it, the cost price of the bicycle for A is

Answer 1

profit of A is 20%.
profit of B is 25%.
selling price of B is 225
cost price of B= 100/(100+gain%)×SP
={100/(100+25)}×100
=(100/125) ×100
=180
then sp of A is 180
now, cost price of A={100/(100+20) }×100
=(100/120) ×100
=150

Answer 2

Answer:

Let cost price for A=100rs

Sp for A = cp for B

$= 100 + \frac{20}{100} \times 100 = 120$

Sp for B = Cp for C

$= 120 + 25\% \: of \: 120 \\ 120 \times \frac{25}{100} \times 120 \\ = 150$

Given,

Cp for C = 225

so, 150 → 225

$l = \frac{225}{150} = \frac{3}{2} \\ 100 \: → \: \frac{3}{2} \times 100 = 150$