Question

72. A shopkeeper sold an article at Rs. 80, earning a profit of 25%. At what price shou he sell the article to gain 50%? (a) Rs. 100 (b) Rs. 96 (C) Rs. 108 (d) Rs. 98 ​

Answer 1

Step-by-step explanation:

100 (•‿•)is the correct

Answer 2

Given:

A shopkeeper sold an article at Rs. 80, earning a profit of 25%. At what price should he sell the article to gain 50%? (a) Rs. 100 (b) Rs. 96 (C) Rs. 108 (d) Rs. 98 ​

To find:

At what price should he sell the article to gain 50%?

Solution:

Finding the C.P. of the article:

The S.P. of the article = Rs. 80

The profit percentage = 25%

Therefore,

The C.P. of the article is,

= $\frac{100}{100 + G\%} \times S.P.$

= $\frac{100}{100 + 25} \times 80$

= $\frac{100}{125}\times 80$

= $\bold{Rs.\: 64}$

Finding the new S.P. if the gain is 50%:

The gain percentage = 50%

Therefore,

The new S.P. of the article is,

= $\frac{100 + G\%}{100} \times C.P.$

= $\frac{100 + 50}{100} \times 64$

= $\frac{1 50}{100} \times 64$

= $1.5 \times 64$

= $\bold{Rs.\:96}$

Thus, the shopkeeper should sell the article at Rs. 96 to make a profit of 50%.

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