Question

Raymoon sold an article at a loss of 5% .if he had sold it for rupees 270 more, he would have gain 7%.Find the cp of article.

Answer 1

thus, answer is 2137.5
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Answer 2

Answer:

The cost price of the article is Rs.2250

Step-by-step explanation:

Given : Raymoon sold an article at a loss of 5% . If he had sold it for rupees 270 more, he would have gain 7%.

To find : The cp of article?

Solution :

Let the SP be x.

Loss=5%

Cost price of the article is

$CP=\frac{100}{100-L\%} \times SP$

$CP=\frac{100}{100-5} \times x$

$CP=\frac{20x}{19}$ ......[1]

Now, gain = 7%

$SP=\frac{100+g\%}{100} \times CP$

$SP=\frac{100+7}{100} \times \frac{20x}{19}$

$SP=\frac{107x}{95}$

If he had sold it for rupees 270 more,

$\frac{107x}{95}-x=270$

$107x-95x=270\times 95$

$12x=25650$

$x=2137.5$

The selling price of the article is Rs.2137.5

Substitute the value of x in [1]

$CP=\frac{20(2137.5)}{19}$

$CP=\frac{42750}{19}$

$CP=2250$

The cost price of the article is Rs.2250