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 ??

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Answer 1

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Answer 2

$\underline{\underline{\bold{Question:}}}$

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 ??  

$\underline{\bold{Solution:}}$

$\underline{\bold{In\:1st\:case,}}$

• Selling price of the cart = Rs. 720.
• Loss  = 25%.

We know that ,

$\boxed{\bold{Cost\:price=Selling\:price{\times}\frac{100}{(100-loss\%)}}}$

So

$\bold{CP=720{\times}\frac{100}{(100-25)}}\\\\\\\bold{=720{\times}\frac{100}{75}=720{\times}\frac{4}{3}}\\\\\\\bold{=960.}$

$\underline{\bold{In\:2nd\:case,}}$

Now we have :

• CP = Rs.960
• Gain = 25%.
• SP = ?

$\boxed{\bold{Selling\:price=cost\:price{\times}\frac{(100+Gain\%)}{100}}}$

$\implies{\bold{SP=960{\times}\frac{125}{100}}}\\\\\\\bold{=960{\times}\frac{5}{4}=1200.}$

$\boxed{\boxed{\bold{Selling\:price=Rs.1200.}}}$