Question

7) An article was sold at a gain of 15%. Had it been sold for ₹ 108 more, the profit would have been 20%. find its cost price ​

Answer 1

REQUIRED ANSWER:

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$\Large\text{\underline{\it{\bf Given:-}}}$

An article with

• Gain % = 15 %

If it had,

• Sold for = 108
• Gain % = 20 %

$\Large\text{\underline{\it{\bf What To Find:-}}}$

We have to find the

• Cost Price or CP of the article.

$\Large\text{\underline{\it{\bf Solution:-}}}$

Let the CP be x.

15 % can be written as,

$\sf \longrightarrow 15 \: \% = \dfrac{15}{100}$

20 % can be written as,

$\sf \longrightarrow 20 \: \% = \dfrac{20}{100}$

The equation will be,

$\sf \longrightarrow \dfrac{20x}{100} - \dfrac{15x}{100} = 108$

Subtract the fractions,

$\sf \longrightarrow \dfrac{5x}{100} = 108$

Take 100 to RHS,

$\sf \longrightarrow 5x = 108 \times 100$

Multiply 108 by 100,

$\sf \longrightarrow 5x = 10800$

Take 5 to RHS,

$\sf \longrightarrow x = \dfrac{10800}{5}$

Divide 10800 by 5,

$\sf \longrightarrow x = 2160$

$\Large\text{\underline{\it{\bf Final Answer:-}}}$

∴ Thus, the CP of the article is Rs. 2160.

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