Question 57

An article is sold for ₹1725 at 15% profit. If it is sold at 15% loss, then what will be the selling price?

Solution

Given,

An article is sold for ₹1725 at 15% profit,

let cost price be $$x$$.

To find the cost price, $${x}\times{\frac{100+15}{100}} = 1725$$

$${x}\times{\frac{115}{100}} = 1725$$

$${x} = {1725}\times{\frac{100}{115}}$$

$${x} = {75}\times{20}$$

$${x} = {1500}$$

If the article was sold at 15% loss,

$${1500}\times{\frac{100-15}{100}}$$

$${1500}\times{\frac{85}{100}}$$

$${15}\times{85}$$ = $$1275$$

therefore option B is the answer.


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