Question

raju bought a toy car for rupees 450 and sold it for rupees 540 . find the profit percent gained by Raju​

Answer 1

Answer :-

• The profit percentage is 20%.

Step-by-step explanation :-

To Find :-

• The profit percentage gained by Raju

Solution :-

Given that,

• Cost price of a toy car = Rs. 450
• Selling price of the car = Rs. 540

Therefore,

The profit is, As we know that,

Profit = S.P. - C.P.,

Where,

• S.P. = Selling price
• C.P. = Cost Price

=> Profit = Selling price - Cost Price

=> Profit = Rs. 540 - Rs. 450

=> Profit = Rs. ( 540 - 450 )

=> Profit = Rs. 90

The profit, Raju did is Rs. 90. Now, the profit percentage :-

As we know that,

Profit percentage = { Profit ÷ C.P. } × 100,

=> { 90 ÷ 450 } × 100

=> { 9 ÷ 45 } × 100

=> 0.2 × 100

=> 20

• The profit percentage is 20%.

Know more :-

Some more information related to cost price and selling price :-

• Gain = Selling price - Cost Price

• Loss = Cost Price - Selling price

• Loss% = { Loss ÷ Cost price } × 100

• Profit% = { Profit ÷ Cost Price } × 100.

• Profit = Selling price is greater than cost price

• Loss = Cost Price is greater than Selling price.

Answer 2

Given :-

• S.P = Rs 540
• C.P = Rs 450

To Find :-

• Gain or loss %

Procedure :-

• Here, as we are given that S.P and C.P , so to find gain or loss %, we have to find whether here is gain or loss.

• In order to calculate gain or loss, we'll compare C.P and S.P. If S.P is greater thar there is gain, if C.P is greater thar there is loss.

• And then we'll find the gain or loss % by the given formula:

If there is gain :

$\rm { Gain \: \% = \Bigg( \dfrac{Gain}{C.P} \times 100 \Bigg)\%}$

If there is loss :

$\rm { Loss \: \% = \Bigg( \dfrac{Loss}{C.P} \times 100 \Bigg)\%}$

Solution :-

S.P = Rs 540

C.P = Rs 450

›»Since, S.P is greater than C.P. Thus, there is gain. We know that :

$\bigstar \boxed{\sf{Gain\: = \:S.P \: - \:C.P}}$

→ Gain = Rs (540 - 450)

→ Gain = Rs 90

Clearly, there is gain or Rs 16. Now, we have to find the rate of gain i.e gain% . So, we know that :

➞ Gain % = Gain ÷ Cost Price × 100

➞ Gain % = 90 ÷ 450 × 100

➞ Gain % = 9 ÷ 45 × 100

➞ Gain % = 0.2 × 100

➞ Gain % = 20%

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Therefore, gain % is 20%

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Extra Information:

$\small\boxed{ \begin{array}{cc}\large\sf\dag \: {\underline{More \: Formulae}} \\ \\ \bigstar \: \sf{Gain = S.P – C.P} \\ \\ \bigstar \:\sf{Loss = C.P – S.P} \\ \\ \bigstar \: \sf{Gain \: \% = \Bigg( \dfrac{Gain}{C.P} \times 100 \Bigg)\%} \\ \\ \bigstar \: \sf{loss \: \% = \Bigg( \dfrac{loss}{C.P} \times 100 \Bigg)\%} \\ \\ \bigstar \: \sf{S.P = \dfrac{100+Gain\%}{100} \times C.P} \\ \\ \bigstar \: \sf{ C.P =\dfrac{100}{100+Gain\%} \times S.P} \\ \\\bigstar \: \sf{ S.P = \dfrac{100-loss\%}{100} \times C.P} \\ \\ \bigstar \: \sf{ C.P =\dfrac{100}{100-loss\%} \times S.P}\end{array} }$

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