Question

3. By selling an article for 9900, Shashank gains 10%, find his CP. ​

Answer 1

Answer

Given that the S.P of the article = ₹ 9900 .

Profit Percentage = 10 (%)

Now , Let's consider the C.P i.e Cost Price of the article be ₹ x

Apply Profit Percentage Formula i.e ,

$\color{brown}{\underline{\boxed{{\rm{P= \frac{ P}{CP } \times 100}}}}}$

Also , It's not given you the Profit of the article

but we'll apply

P = SP - CP_______(1)

Now substitute it in the Formula and we'll get

$10 = \frac{9900 - x}{x} \times 100$

$\bf\fbox\red{10x = 990000 - 100x}$

$\bf\fbox\pink{110x = 990000}$

$x = \frac { 99000 \cancel{0}}{11 \cancel0} = \frac{ \cancel{99000}}{ \cancel{11}} = 9000$

Required CP = ₹ 9000

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