Question

Selling price of a toy car is ₹540. If the profit made by shopkeeper is 20%, what is the cost price of this toy?

Please answer fast. I will mark you as brainliest

Answer 1

Answer :

• Rs 450

Given :

• Selling price = Rs 540
• Profit percentage = 20%

To Find :

• Cost Price.

We know that :

• If SP and profit percentage is given, and we have to find the CP, we follows :
• CP = ( 100 / 100 + profit ) × SP

Using Formula :

• $\sf{ CP =\dfrac{100}{100 + profit\%} \times SP}$

Let's Start :

Here, SP = Rs 540

Percentage of profit = 20%

Solution :

$\therefore \: \: \sf{ CP =\dfrac{100}{100 + profit\%} \times SP} \\ \\ \sf{ =\dfrac{100}{100 + 20\%} \times 540} \\ \\ \sf = \frac{100}{120} \times 540 \\ \\ \bf \large = 450$

Therefore, the Cost Price of the toy = Rs 450

More Formulae :

$\bigstar \: \sf{Profit = SP - CP} \\ \\ \bigstar \:\sf{Loss = CP - SP} \\ \\ \bigstar \: \sf{Profit \: \% = \bigg( \dfrac{Profit}{CP} \times 100 \bigg)\%} \\ \\ \bigstar \: \sf{Loss \: \% = \bigg( \dfrac{loss}{CP} \times 100 \bigg)\%} \\ \\ \bigstar \: \sf{SP = \dfrac{100+Profit\%}{100} \times CP} \\ \\ \bigstar \: \sf{ CP =\dfrac{100}{100+Profit\%} \times SP} \\ \\\bigstar \: \sf{ SP = \dfrac{100-loss\%}{100} \times CP} \\ \\ \bigstar \: \sf{ CP =\dfrac{100}{100-loss\%} \times SP}$

Answer 2

Given :

• Selling Price (S.P) = Rs 540
• Profit % = 20%

To Find :

• Cost Price of Toy

Formula :

$\blue \bigstar \: {\underline{\boxed {\mathcal{\pmb{ \red{\quad C.P \: = \: \dfrac{100}{ \: 100 \: + \: Gain\%} \: \times \: S.P}\quad}}}}}$

Solution :

$\qquad \quad {:} \longrightarrow \sf{\sf{C.P \: = \: \dfrac{100}{ \: 100 \: + \: Gain\%} \: \times \: S.P }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{C.P \: = \: \dfrac{100}{ \: 100 \: + \: 20} \: \times \: 540 }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{C.P \: = \: \dfrac{100}{ \: 120} \: \times \: 540 }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{C.P \: = \: \dfrac{100}{ \: 12\cancel{0}} \: \times \:54 \cancel{0}} }$

$\qquad \quad {:} \longrightarrow \sf{\sf{C.P \: = \: \dfrac{100\: \times \: 54}{ \: 12} }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{C.P \: = \: \dfrac{5400}{ \: 12} }}$

$\qquad \quad {:} \longrightarrow \sf \boxed{\bf{C.P \: = \: Rs \: 450}}$

Thus Cost Price of Toy is Rs 450

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

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