Question

he cost price of a pen is 55 rupees, if it was sold at a gain of 5%, then what will be it's selling price ?​

Answer 1

Answer :-

• The selling price of the pen was Rs 57.75.

Given :-

• The cost price of a pen is Rs 55.
• It's sold at a gain of 5%.

To find :-

• It's selling price.

Step-by-step explanation :-

• In this question, the cost price of a pen has been given to us. It was sold at a gain of 5%. We have to find it's selling price. To do that, we first have to find 5% of Rs 55 and then we will add it to the cost price to get our answer.

Calculations :-

• We know that profit and loss is always calculated on the cost price.

• So, to find the gain amount, we have to find out 5% of Rs 55 (Cost price)

$\tt \implies 5\% \: of \: 55$

• Converting 5% into fraction,

$\tt \implies\dfrac{5}{ \cancel{100}} \times \: \cancel{55}$

• Reducing the numbers,

$\tt \implies \dfrac{ \cancel{5}}{ \cancel{20}} \times 11$

• Reducing the numbers again,

$\tt \implies \dfrac{1}{4} \times 11$

• Multiplying the remaining numbers,

$\tt \implies\dfrac{ \cancel{11}}{ \cancel4}$

• Dividing 11 by 4,

$\implies \tt 2.75.$

• 5% of Rs 55 = Rs 2.75.

• So, the gain amount was Rs 2.75.

Now, we know that :-

$\underline{\boxed{\sf Selling \: Price = Cost \: Price + Gain.}}$

Here,

• Cost price = Rs 55.
• Gain = Rs 2.75.

Therefore,

$\fbox{\bf SP = Rs 55 + Rs 2.75 = Rs 57.75.}$