Question

a fan and when sold at a profit of 5% yields rupees 220 more than when it is sold at a loss of 5% find the cost price of the fan ​

Answer 1

$\huge\boxed{\blue{\tt solution::}}$

let the cost price be 'x'.

______________________________

5% gain = (100+5)/100

5% loss = (100-5)/100

we know that:

$\boxed{\red{\tt gain =percent \: gain × cost \:price }}$

since the difference given is 220,

$\tt \dfrac{105x}{100}-\dfrac{95x}{100}=220$

$\tt \dfrac{10x}{100}=220$

$\tt 10x = 22000$

$\tt x = 2200$

the cost price is 2200 rupees..

how to find gain?

add gain percent given to 100 to form a fraction with denominator as 100.

cost and selling price?

the amount in which the article is purchased is called as cost price and the amount at which it is sold is called as selling price.

Answer 2

We will assume the cost price to be x

we will use the formula to calculate gain by assuming that profit was of 100 rupees..

5% gain = (100+5)/100

5% loss = (100-5)/100

formula used here =

$\boxed{\green{\tt gain =percent \: gain × cost price}}$

105x/100 - 95x/100 = 220

$\tt \dfrac{10x}{100}=220$

$\tt 10x =22000$

$\tt x=\cancel\dfrac {22000}{10}$

$\tt x =2200$

the cost price is 2200 rupees