Question

By selling a radio for 528, Mohit gains 10%. Find his cost price.​

Answer 1

Answer :-

• The cost price of the radio is Rs 480.

To find :-

• The cost price of the radio.

Step-by-step explanation :-

Let the cost price of the radio be Rs "x".

• Before finding the cost price of the radio, let's find the profit!

It is given that :-

• Mohan gains 10%.

Therefore,

$\longrightarrow \rm Profit = 10 \% \: of \: x$

$\rm{\longrightarrow Profit = \dfrac{10}{100} \times x}$

$\longrightarrow\rm Profit = \dfrac{1 \!\!\!\not0}{10 \!\!\!\not0} \times x$

$\rm{\longrightarrow Profit = \dfrac{1}{10} \times x}$

$\rm{\longrightarrow Profit = \dfrac{x}{10}}$

________________________________

Now, we know that :-

$\underline{ \boxed{\sf{SP = CP + Profit}}}$

Where,

• SP = Selling Price.
• CP = Cost Price.

---------------------------------------

• So, let's find the sum of the cost price and profit now!

Here,

• Cost price = Rs "x".
• Profit = Rs "x/10".

$\rm{\longrightarrow x + \dfrac{x}{10}}$

$\rm{\longrightarrow x + \dfrac{x}{10}}$

$\rm{\longrightarrow x + \dfrac{x}{10}}$

$\rm{\longrightarrow \dfrac{11x}{10}}$

Now, it is given that :-

• The cost price is Rs 528.

According to the formula,

$\rm{\longrightarrow \dfrac{11x}{10} = 528}$

$\rm{\longrightarrow 11x = 528 \times 10}$

$\rm{\longrightarrow 11x = 5280}$

$\rm{\longrightarrow x = 480}$

Hence :-

• The cost price of the radio is Rs. 480.

________________________________