Question

A cloth merchant on selling 27 metres of cloth obtains a profit equal to the selling price of 9 meters of the same cloth. find his gain percent.
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Answer 1

Answer:

Given:-

• A cloth merchant on sells 27 metres of cloth
• It obtains a profit equal to the selling price of 9 meters of the same cloth

Find:-

• Gain percentage?

Solution:-

Let selling price of 1 meter cloth = 1₹

So, selling price of 27 meter cloth = 27₹

Cost price of 1meter cloth = x

So, the cost price of 27 meter cloth = 27x

We know that... ⤵

$\boxed{ \sf{Profit = sp - cp}}$

${ \sf{ \to{9 = 27 - 27x}}}$

${ \to{ \sf{27x = 27 - 9}}}$

${ \sf{ \to{27x = 18}}}$

${ \sf{ \to{x = \frac{18}{27} = \frac{2}{3} }}}$

So, the cost price of 1 m cloth = 2/3₹

CP of 27 meter cloth:-

${ \to{ \sf{ \frac{2}{3} \times 27 }}}$

${ \to{ \sf{18}}}$

So, the CP of 27 m cloth is 18₹

Profit = SP - CP

27 - 18 = 9₹

Profit percentage:-

${ \sf{ \to{profit = \frac{9}{18} \times 100 }}}$

${ \sf{ \to{profit = \frac{100}{2} = 50\% }}}$

So, the gain percent is 50%