Question

if the selling price of a product is increased by 162 Rupees then the business would make a profit of 17% instead of loss of 19% what is the cost price of the product​

Answer 1

C.t =marked price -selling price

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Answer 2

Given : Profit = 17%

Loss % = 19%

Difference in selling price = Rs. 162

To find : The cost price of the product = ?

Solution :

Let the cost price of the product be'x'

After profit of 17%,

the selling price would be :

$\dfrac{100+17}{100}x=\dfrac{117}{100}x=1.17x$

After loss of 19%,

the selling price would be :

$\dfrac{100-19}{100}x=\dfrac{81}{100}x=0.81x$

According to question, we get :

$1.17x-0.81x=162\\\\0.36x=162\\\\x=\dfrac{162}{0.36}\\\\x=450$

Hence, the cost price of the product is Rs. 450.