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  1. A cloth merchant on selling 33 metres of cloth obtains a profit equal to the selling price of 11 metres of cloth. The profit percent is
    1. 40%
    2. 22%
    3. 50%
    4. 11%
Correct Option: C

As per the given in question, we have
S.P. of 33 metres of cloth = C.P. of 33 metres of cloth + S.P. of 11 metres of cloth
∴ S.P. of 22 metres of cloth = C.P. of 33 metres of cloth

C.P.
=
22
S.P.33

Gain = SP - CP = 33 - 22 = 11
∴ Gain percent =
Gain
× 100
Cost price of 22 meter clothes

Gain percent =
11
× 100 = 50%
22

We can find profit % with the help of given formula :
Here, p = 33, q = 11
Profit % =
q × 100
p - q

Profit % =
11 × 100
33 - 11

Profit % =
11 × 100
= 50%
22



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