A person sells an article for Rs- 550 - gaining 1-10 of its C-P- Find gain percent- -3 MARKS-

Concept : 1 Mark Calculation : 2 Marks Let the C.P. of the article be Rs. x Then, Gain =1/10 of Rs.x = Rs. x/10 Now, Gain% = ( Gain/C.P.× 100 )% ⇒ Gain ...

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Standard VIII

Mathematics

Finding Increase or Decrease Percentage in Situations

A person sell...

Question

A person sells an article for Rs. 550, gaining $\frac{1}{10}$ of its C.P. Find gain percent.

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Solution

Let the C.P. of the article be $R s . x$ Then,

$G a i n = \frac{1}{10} o f R s . x = R s . \frac{x}{10}$

Now, $G a i n % = (\frac{G a i n}{C . P .} \times 100) %$

$\Rightarrow G a i n % = (\frac{\frac{x}{10}}{x} \times 100) % = \frac{x}{10} \times \frac{1}{x} \times 100 % = 10 %$

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A person sells an article for Rs. 550, gaining 110 of its C.P. Find gain percent.

​ Let the C.P. of the article be Rs.x Then, Gain=110 of Rs.x=Rs.x10 Now, Gain%=(GainC.P.×100)% ⇒Gain%=(x10x×100)%=x10×1x×100%=10%

A person sells an article for Rs. 550, gaining $\frac{1}{10}$ of its C.P. Find gain percent.

Let the C.P. of the article be $R s . x$ Then,

$G a i n = \frac{1}{10} o f R s . x = R s . \frac{x}{10}$

Now, $G a i n % = (\frac{G a i n}{C . P .} \times 100) %$

$\Rightarrow G a i n % = (\frac{\frac{x}{10}}{x} \times 100) % = \frac{x}{10} \times \frac{1}{x} \times 100 % = 10 %$