Question

A table was sold for rs 2172 at a gain of 10per at what price should it sold to gain 20per​

Answer 1

$\large\underline{\underline{\sf Given:}}$

• Selling price (SP) = Rs.2172

• Gain = 10%

• Sold gain = 20%

$\large\underline{\underline{\sf To\:Find:}}$

• What price should it sold to gain 20% .

$\large\underline{\underline{\sf Solution:}}$

Let ,

Cost price of table = X

Profit = Cost Price × Profit Percent

$\large\implies{\sf \dfrac{5x}{100}}$

Selling price = Cost Price + Profit

$\large\implies{\sf X=\dfrac{5X}{100}=2142}$

$\large\implies{\sf \left(1+\dfrac{5}{100}\right)=2142}$

$\large\implies{\sf 105X=214200}$

$\large\implies{\sf X=2040 }$

•°• Cost price is Rs.2040

Now ,

Profit for 10%

$\large\implies{\sf 2040×\dfrac{10}{100} }$

$\large\implies{\sf Rs.204 }$

Selling Price = Cost Price + Profit

$\large\implies{\sf 2040+204}$

$\large\implies{\sf Rs.2244 }$

$\Large\underline{\underline{\sf Answer:}}$

•°• Selling price of table at 10% profit is Rs.2244