Question

By selling a watch for Rs. 5500, Prisha loses 5%. Find its cost price​

Answer 1

Answer:

2750

Step-by-step explanation:

First we divide 100 Fromm 5500

Answer 2

Answer:

The cost price of the watch is Rs. 5789.47.

Step-by-step-explanation:

We have given that,

Selling price of watch ( S. P. ) = Rs. 5500

Loss per cent = 5

We have to find the cost price of watch.

Let the cost price be Rs. x.

We know that,

$\displaystyle{\pink{\sf\:Loss\:\%\:=\:\dfrac{Loss}{Cost\:price}\:\times\:100}}$

$\displaystyle{\implies\sf\:5\:=\:\dfrac{Cost\:price\:-\:Selling\:price}{Cost\:price}\:\times\:100}$

$\displaystyle{\implies\sf\:5\:=\:\dfrac{(\:x\:-\:5500\:)\:\times\:100}{x}}$

$\displaystyle{\implies\sf\:5x\:=\:100x\:-\:550000}$

$\displaystyle{\implies\sf\:100x\:-\:5x\:=\:550000}$

$\displaystyle{\implies\sf\:95x\:=\:550000}$

$\displaystyle{\implies\sf\:x\:=\:\dfrac{\cancel{550000}}{\cancel{95}}}$

$\displaystyle{\implies\sf\:x\:=\:\cancel{\dfrac{110000}{19}}}$

$\displaystyle{\implies\sf\:x\:=\:5789.473}$

$\displaystyle{\implies\underline{\boxed{\red{\sf\:Cost\:price\:\approx\:Rs.\:5789.47\:}}}}$

∴ The cost price of the watch is Rs. 5789.47.