A man sold an article at a gain of 57%. If he had sold it for ₹238 more, he would have gained 82%. The cost price (in ₹) of the article is:​

Correct option is B

Given:

The man sold the article at a gain of 57%.

If he had sold it for ₹238 more, the gain would have been 82%.

Formula Used:

Selling Price = $$\text{Cost Price} \times \left(1 + \frac{\text{Gain Percentage}}{100}\right)$$​​

Solution:

Let the cost price be C

Selling price at 57% gain:

SP1  = $$C \times \left(1 + \frac{57}{100}\right) = C \times 1.57$$​​

Selling price at 82% gain:

SP2 = $$C \times \left(1 + \frac{82}{100}\right) = C \times 1.82$$​​

The difference between the two selling prices is ₹238:

​$$C \times 1.82 - C \times 1.57 = 238$$​​

​$$C \times (1.82 - 1.57) = 238$$​​

​$$C \times 0.25 = 238$$​​

​$$C = \frac{238}{0.25} = ₹952$$ 

Alternate Solution: ​

Difference of both profit is 238 

so, directly 

82% - 57% = 238 

25% = 238

100% = ₹952