40% of the goods are sold at 2% loss while the rest of the goods are sold at 4% profit. If there is a total profit of ₹250, then the cost price of goods sold is:  

Correct option is A

Given:

40% of the goods are sold at 2% loss.

rest of the goods are sold at 4% profit.

Total profit = ₹250

Cost Price of goods  = ?

Solution:

Let the cost price of the goods be ₹x.

40% of the goods are sold at 2% loss:

Cost price of 40% of the goods = 0.4x​

Loss on this part = $$0.4x \times \frac{2}{100} = 0.008x$$ 

​60% of the goods are sold at 4% profit:

Cost price of 60% of the goods = 0.6x 

Profit on this part = $$0.6x \times \frac{4}{100} = 0.024x$$ 

​Net profit:

Total profit = Profit - Loss

Total profit = $$0.024x−0.008x=0.016x$$ 

​Given total profit = ₹250:

$$0.016x=250$$ 

$$x = \frac{250}{0.016} = 15625$$ 

Thus, the cost price of the goods is ₹15,625 (Option A).​​