Question

4. Anuj gains 5% by selling his old T.V. set for 6720. If he sells it for 6500,find his loss or gain%.​

Answer 1

Answer:

he get a profit of 1.8 percent

Answer 2

Answer :-

• The gain % of Anuj is 1.5625%

To find :-

• Anuj's loss or gain %.

Step-by-step explanation :-

• Before finding Anuj's gain or loss %, we first have to find the cost price of the old TV set!

We know that :-

$\underline{ \boxed{ \sf CP = \dfrac{100}{100 + Gain \: \%} \times SP}}$

Where,

• CP = Cost price.
• SP = Selling price.

Here,

• Gain % = 5%.
• Selling price = Rs 6720.

Therefore,

$\longrightarrow\rm CP = \dfrac{100}{100 + 5} \times 6720$

$\rm\longrightarrow CP = \dfrac{100}{105} \times 6720$

$\rm \longrightarrow CP = \dfrac{20}{1} \times 320$

$\longrightarrow\rm CP = 20 \times 320$

$\rm \longrightarrow CP = Rs \: 6400$

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• The cost price of the old TV set is Rs 6400. So now let's find Anuj's gain or loss % if he sells it for Rs 6500!

Here,

• The selling price is greater than the cost price, so Anuj will have a gain if he sells the old TV set for Rs 6500.

We know that :-

$\underline{ \boxed{\sf Gain = SP - CP}}$

Where,

• SP = Selling price.
• CP = Cost price.

Here,

• Selling price = Rs 6500.
• Cost price = Rs 6400.

Therefore,

$\dashrightarrow\bf Gain = 6500 - 6400$

$\dashrightarrow\bf Gain = Rs \: 100$

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

• Finally, let's find the gain percent!

We know that :-

$\underline{ \boxed{\sf Gain \: \% = \dfrac{Gain}{CP} \times 100}}$

Where,

• CP = Cost price.

Here,

• Gain = Rs 100.
• Cost price = Rs 6400.

Therefore,

$\tt Gain \: \% = \dfrac{100}{6400} \times 100$

Cancelling the zeroes,

$\tt Gain \: \% = \dfrac{100}{64} \times 1$

$\tt Gain \: \% = \dfrac{100}{64}$

$\tt Gain \: \% = 1.5625\%$

Hence :-

• The gain % is 1.5625%

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