Question

the cost price of a pen is rs 250 it was sold at a loss of 15% the selling price of the pen is ​

Answer 1

Answer :

The selling price of the pen is Rs. 212.5.

Step-by-step explanation :-

To Find,

• The selling price of the pen

Solution,

Given that,

• Cost price of pen = Rs. 250
• Loss = 15%

Therefore,

$\sf{Loss \: = \: 15\% \: of \: C.P.} \\ \\ \\ \sf{\mapsto \: \bigg\lgroup \: \dfrac{15}{100} \times 250 \: \bigg \rgroup} \\ \\ \\ \sf{ \mapsto \: 0.15 \times 250} \\ \\ \\ \sf{ \mapsto \: 37.5}$

Therefore, the loss of pen is Rs. 37.5.

Now, selling price is,

$\sf{S.P. = C.P. - Loss} \\ \\ \\ \sf{\mapsto \: (250 - 37.5)} \\ \\ \\ \sf{\mapsto \: 212.5}$

Hence, the selling price of pen is Rs. 212.5.

Alternate method [ using formula ]

Given that,

• C.P. = Rs. 250
• Loss = 15%

As we know that,

$\bf{S.P. = \dfrac{(100 - Loss \: \%)}{100} \times C.P.}$

Therefore,

$\sf{ \mapsto \: S.P. = \dfrac{(100 - 15)}{100} \times 250} \\ \\ \\ \sf{ \mapsto \: S.P. = \dfrac{85}{100} \times 250} \\ \\ \\ \sf{ \mapsto \: S.P. = 0.85 \times 250} \\ \\ \\ \sf{ \mapsto \: S.P. = 212.5}$

Hence, the selling price of the pen is Rs. 212.5.