A shopkeeper lists the price of a fan at 25% above its cost price and offers a 16% discount on its list price. If he earns a profit of ₹140, then what is the list price (in ₹) of the fan?

Correct option is A

Given:

List price is 25% above cost price

Discount offered = 16%

Profit earned = ₹140

Formula Used:

Profit % = $$\frac{SP - CP}{CP}\times 100$$​​

Solution:

Let CP = 100

LP = 100 × 1.25 = 125

SP = 125 × 0.84 = 105

Profit = 105 – 100 = 5

If profit of 5 unit corresponds to ₹140,

then 1 unit = $$\frac{140}{5}$$​ = 28

So, actual list price = 125 × 28 = ₹3500