Question

If an article is sold for RS 105,there is a loss of 9%.at what price should the article be sold so that there is a gain of 30%

Answer 1

If article is sold for Rs.105 there is a loss of 90% and the article should be sold so that there is a gain of 30% at Rs. 150.

Step-by-step explanation:

Step 1:

The selling price of an article = Rs. 105

Loss = 9%

Therefore,  

The C.P. of the article

= $\frac{100}{100-L}$ * S.P.

=  $\frac{100}{100-9}$ * S.P.

= $\frac{100}{91}$ * 105

= Rs. 115.38

Step 2:

Gain = 30%

Thus,  

The S.P. of the article should be, in order to have a gain of 30%,

= $\frac{100+P}{100}$ * C.P.

= $\frac{100+30}{100}$ * 115.38

= $\frac{130}{100}$ * 115.38

= 149.99

≈ Rs. 150

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Answer 2

Answer:

The selling price of an article = Rs. 105

Loss = 9%

Therefore,  

The C.P. of the article

=  * S.P.

=   * S.P.

=  * 105

= Rs. 115.38

Step 2:

Gain = 30%

Thus,  

The S.P. of the article should be, in order to have a gain of 30%,

=  * C.P.

=  * 115.38

=  * 115.38

= 149.99

≈ Rs. 150

Step-by-step explanation:

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