Question

John makes a profit of 12% by selling the article for the 448 calculate the cost of price​

Answer 1

Hola!!

Here is your answer :-

Here,.
Sp = Rs. 448
Profit = 12%

$we \: know \: that \\ \\ cp = \frac{100}{100 + profit \: percent} \times sp\\ \\cp = \frac{100}{100 + 12} \times \: 448 \\ \\ cp = \frac{100}{112} \times 448 \\ \\ cp = rs \: 400$

Hope it helps!!

Answer 2

The cost price of the article = 400

Given :

John makes a profit of 12% by selling the article for the 448

To find :

The cost price of the article

Solution :

Step 1 of 2 :

Form the equation

Let cost price of the article = 100x

Since John makes a profit of 12% by selling the article

∴ Profit amount

$\displaystyle \sf{ = 100x \: \times \: \frac{12}{100} }$

$\displaystyle \sf{ = 12x }$

∴ Selling price of the article

= 100x + 12x

= 112x

By the given condition

112x = 448

Step 2 of 2 :

Calculate cost price of the article

$\displaystyle \sf{ 112x = 448 }$

$\displaystyle \sf{ \implies x = \frac{448}{112} }$

$\displaystyle \sf{ \implies x = 4 }$

Hence cost price of the article

= 100x

= 100 × 4

= 400

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