Question

If a man sells the cart for Rs.720, he would have a loss of 25% . At what price must he sell it to get 25% Gain ?? ​

Answer 1

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Answer 2

Question

If the man sells the cart for Rs.720, he would have a loss of 25%. At what price must he sell it to get 25% gain ?

Given

• Selling price = Rs 720
• Loss = 25%

Required to Find

Price must he sell it to get 25% gain.

Solution

We have

S.P of the cart = Rs. 720

Loss = 25%

$\sf \: cost \: price = (\dfrac{100}{100 - loss \: percent} \times selling \: price)$

$\sf \implies \: cost \: price = Rs. (\dfrac{100}{100 - 25} \times 720) = \dfrac{100}{75} \times 720$

$\sf \implies \: Rs .( \dfrac{4}{3} \times 720) = Rs. \:960$

Desired gain = 25%

$\sf \: selling price = Rs. \dfrac{100 + \: gain \: percent}{100} \times Cost price$

$\sf\implies \: S.P = rs.( \dfrac{100 + 25}{100} \times 960) = Rs. \: ( \dfrac{125}{100} \times 960)$

$\sf \implies \: Rs.( \dfrac{5}{4} \times 960) = Rs.1200$

Therefore, He must sell the cart for Rs.1200 to get 25% gain.