Umesh sold an article at a loss of 22%. If he had bought the item at 5% less and had sold it for ₹935 more, then he would have gained 15%. Find the cost price (in ₹) of the article.​

Correct option is A

Given:

Marked price is 52% above the cost price.
Desired profit is 14%.

Concept Used:

Marked Price = Cost Price + 52% of Cost Price
Selling Price = Marked Price - Discount
Desired Profit = 14% of Cost Price

Solution:

Let the cost price of the article = 100 unit  

Selling price when he get 22% loss = 100 - 22  = 78 unit 

if he bought 5% less then the cost price = 100 unit - $$5\% \ of \ 100$$  = 95 unit

Then his profit = 95 $$\times \frac{15}{100} =$$  14.25 unit

Selling price = 95 + 14.25 = 109.25 unit

According to question 109.5 - 78 = 31.25   

31.25 unit =Rs  935

1 unit = 29.92

Then the cost price = 100 unit = Rs. 2992