Question

When an article is sold for Rs 750, a
loss of 20% is made on the cost price.
If a gain of 20% has to be made on the
selling price, then find the price at
which the article should be sold.​

Answer 1

Step-by-step explanation:

let the cost price be x

with loss of 20% the selling price is 750

$x - (x \times \frac{20}{100} ) = 750 \\ x - \frac{20x}{100} = 750 \\ \frac{100x - 20x}{100} = 750 \\ \frac{80x}{100} = 750 \\ x = \frac{750 \times 100}{80} \\ x = 937.50$

therefore the cost price of article is Rs. 937.50

to sell at a profit of 20%

cp + 20%

$= 937.5 + ( \frac{20}{100} \times 937.5) \\ = 937.5 + 187.5 \\ = 1125$

the article should be sold at Rs. 1125

hope you get your answer