Question

by selling a piece of cloth for rupees 17.50 a cloth merchant suffers a loss of 12% at what price should he sell the cloth piece to get a gain of 20%

Answer 1

Answer:

Step-by-step explanation:

Selling price is 17.5

Loss = 12%

Profit = 20%

So by formula- 17.5×120/88 = 23.86

Answer 2

He should sell at Rs.23.856  to get a gain of 20%

Step-by-step explanation:

Let the CP be x

Loss % = 12%

SP = CP-Loss

SP = x-0.12x

SP = 0.88x

We are given that SP is Rs.17.50

So, 17.50 = 0.88x

$\frac{17.50}{0.88}=x$

19.88=x

We are supposed to find at what price should he sell the cloth piece to get a gain of 20%

CP = Rs.19.88

Gain% = 20%

SP = CP+ Gain

SP = 19.88+0.2(19.88)

SP=23.856

Hence he should sell at Rs.23.856  to get a gain of 20%

#Learn more:

A cloth merchant gains the selling price of 22 metre cloth on selling of 88 metre cloth .Find his gain percent.

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