Question

A shopkeeper buys two TV set of same type he sells one of them at a profit of 20% and other at a loss of 5% if the difference in selling price is 700 find the cost price of each TV set



please please answer fast ​

Answer 1

Answer:

$\huge\underline{\underline{\texttt{\red{A}\green{n}\pink{s}\orange{w}\blue{e}{r}}}}$

${\huge{\underline{\small{\bold{\purple{let,}}}}}}$

• the cost of one TV set be x.

${\huge{\underline{\small{\bold{\purple{find -}}}}}}$

the selling price of the one that was sold at a profit of 20%:

${\huge{\underline{\small{\bold{\green{profit -}}}}}}$

20% of x = 0.2x

${\huge{\underline{\small{\bold{\pink{selling\: price\: -}}}}}}$

x + 0.2x = 1.2x

${\huge{\underline{\small{\bold{\purple{find\: -}}}}}}$

the selling price of the one that was sold at a loss of 5%:

${\huge{\underline{\small{\bold{\blue{Loss \: -}}}}}}$

5% of x = 0.05x

${\huge{\underline{\small{\bold{\red{selling\: price\: -}}}}}}$

x - 0.05x = 0.95x

${\huge{\underline{\small{\bold{\orange{solve\: x\: :}}}}}}$

• Difference in the selling price in term of x = 1.2x - 0.95x = 0.25x

• Difference in the selling price = ₹700 (Given)

$0.25x\:=\: Rs 700$

$x \:= 700\: ÷ \:0.25$

$x\: = \:Rs 2800$

${\huge{\underline{\small{\bold{\purple{Answer:-}}}}}}$

The cost price of a TV set is ₹ 2800.

Answer 2

Given :–

• Profit = 20%
• Loss = 5%
• Difference in selling price = Rs. 700

To Find :–

• The cost price of each T.V. set.

Solution :–

Let,

The cost of T.V. set be x.

According to the question,

First, we find the selling price of the one which was sold at a profit of 20%.

So,

• Profit = 20% of x = 0.2x

• Selling price = Cost of T.V. set + profit of 20% of T.V. set

⟹ x + 0.2x

⟹ 1.2x

Now, we find the selling price of the one which was sold at a loss of 5%.

So,

• Loss = 5% of x = 0.05x

• Selling price = Cost of T.V. set – loss of 5% of T.V. set

⟹ x + 0.05x

⟹ 0.95x

Now, we have to find the cost price of each T.V. set.

Difference in the selling price in term of x (profit or loss), we obtain

⟹ the selling price of the one which was sold at a profit of 20% – the selling price of the one which was sold at a loss of 5%

⟹ 1.2x – 0.95x

⟹ 0.25x

In the given question,

Difference in the selling price = Rs. 700

It means,

⟹ 0.25x = 700

⟹ x = $\dfrac{700}{0.25}$

For convert decimal into a normal number,

we will multiply 100 by the numerator.

So, we get

⟹ x = $\dfrac{\cancel{70000}}{\cancel{25}}$

Now, cut the denominator(25) and the numerator(70,000) by 5, we obtain

⟹ x = $\dfrac{\cancel{14000}}{\cancel{5}}$

Again, cut the denominator (5) and the numerator (14000) by 5, we obtain

⟹ x = 2800

Hence,

The cost price of each T.V. set is Rs. 2,800.