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A sold an article to B at 12% profit and B sold it to C at 8% loss. If A sold it to C at the selling price of B, then find the profit or loss per
Question

A sold an article to B at 12% profit and B sold it to C at 8% loss. If A sold it to C at the selling price of B, then find the profit or loss percentage that A would make.

A.

3.04% Profit

B.

3.04% Loss

C.

2.15% Profit

D.

2.15% Loss

Correct option is A

Given:

A sold to B at 12% profit.

B sold to C at 8% loss.
A sold to C at the selling price of B.

Formula Used:

Selling Price (SP) = Cost Price (CP) ×(1+Profit%100)\left(1+\frac{\text{Profit\%}}{100}\right)​​

Selling Price (SP) = Cost Price (CP) × (1Loss%100)\left(1-\frac{\text{Loss\%}}{100}\right)​​

Profit% =SPCPCP\frac {SP-CP}{CP}​ × 100

Solution:
Let CPA = ₹100
SPA = 100 × 112100\frac{112}{100}​ = ₹112
CPB = ₹112
SPB = 112 × 92100\frac{92}{100}​= ₹103.04

If A sold directly to C at ₹103.04:
Profit = 103.04 - 100 = ₹3.04
Profit% =3.04100\frac{3.04}{100}​ × 100 = 3.04%

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