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  1. A sells a bicycle to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays $ 225/- for it, the cost price of the bicycle for A is :
    1. $ 110
    2. $ 125
    3. $ 120
    4. $ 150
Correct Option: D

Let the cost price of the bicycle for A be $ y
At 20% profit , Cost price for B = selling price for A = 1.20y
At 25% profit , Cost price for C = selling price
for B = (1.25) (1.20y) = 1.5y
But 1.5y = 225

∴ y =
225
= $ 150
1.5

∴ The cost price of the bicycle for A = $ 150
Using the given formula :
Here, r1 = 20%, r1 = 25%
C.P. for C = C.P. for A

225 = C.P. for A

C.P. for A =
225 × 100 × 100
= $ 150
120 × 125



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