Question

Selling price of a toy car is Rs 5400 if the profit made by shopkeeper is
20% .What is the cost price of this toy?

Answer 1

Answer:

CP = Rs. 4500

Step-by-step explanation:

SP = Rs. 5400, Profit % = 20 %

Let CP be x,

Then, CP = (SP x 100)/ (100 + Profit %)

x = (540000/120)

x = 4500

Therefore, CP is Rs. 4500

Answer 2

Solution:-

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$\large\to{\underbrace{\underline{\sf{Understanding\:the\:concept:-}}}}$

⚩ Here the selling price of a toy car is given that is Rs 5400. By selling the toy car at Rs 5400 the shopkeeper made a profit of 20%. Now the question has asked us to find the cost price of that toy car. So here we will apply the formula of CP when profit is given. By applying the formula we have to solve it. The digits we will get after solving by the formula will be the Cost price of that toy car.

ANSWER:-

• Cost price of the car is Rs 4500.

GIVEN:-

• Selling price of the toy car = Rs 5400
• Profit made by the shopkeeper = 20%

TO FIND:-

• Cost price of the toy car = ?

FORMULA:-

⌬$\tt{CP\:when\:Profit\:Percent\:is\:given= \dfrac{SP\times100}{100 + Profit \%}}$

SOLVING BY APPLYING THE FORMULA:-

✧ SP of the toy car = Rs 5400

✧ Profit made by the shopkeeper = 20%

✧ Formula to find CP when profit is given = (SP × 100 / 100 + Profit %)

✧$\tt{Cost\:Price=\dfrac{SP\times100}{100 + Profit \%}}$

✧$\tt{Cost\:Price=\dfrac{5400\times100}{120}}$

✧$\tt{Cost\:Price=\dfrac{540000}{120}}$

✧$\tt{Cost\:Price=\dfrac{54000{\not{0}}}{12{\not{0}}}}$

✧$\tt{Cost\:Price=\dfrac{54000}{12}}$

✧$\tt{Cost\:Price=\dfrac{54000}{12}} = 4500$

✧$\tt{Cost\:Price = 4500}$

Hence, we got the answer by applying the formula CP when profit is given and the answer is CP = Rs 4500.

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${\underline{\boxed{\large{\pink{\mathscr{\:All\: Formulae\:of\:Profit\:And\:Loss\:}}}}}}$

1. Profit = (SP > CP) = SP - CP
2. Loss = (CP > SP) = CP - SP
3. Profit% = (Profit × 100 / CP)%
4. Loss% = (Loss × 100 / CP)%
5. SP when Profit Percent is given = (100 + Profit % / 100)× CP
6. CP when Profit Percent is given = (SP × 100 / 100 + Profit %)
7. SP when Loss Percent is given = (100 - Loss / 100)× CP
8. CP when Loss Percent is given = (SP × 100 / 100 - Loss)

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