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  1. Ten articles were bought for Rs. 8, and sold at 8 for Rs. 10. The gain percent is
    1. 54.75%
    2. 57.25%
    3. 56.25%
    4. 55%
Correct Option: C

Let 40 articles (LCM of 8 and 10) be bought.
C.P of 1 article = Rs. 8

∴ C.P of 40 articles =
8 × 40
= Rs. 32
10

S.P of 1 article = Rs. 10
S.P. of 40 articles =
10 × 40
= Rs. 50
8

Profit = S.P. of 40 articles - C.P. of 40 articles = 50 - 32 = Rs. 18
∴ Profit percent =
Profit
× 100
C.P. of 40 articles

Profit percent
=
1800
= 56.25%
32

We can find gain % with the help of given formula :
Here, a = 10, p = 8 and b = 8, q = 10
Gain % =
aq - bp
× 100
bp

Gain % =
10 × 10 - 8 × 8
× 100
8 × 8

Gain % =
36
× 100
64

Gain % =
1800
= 56.25%
32



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