A shopkeeper sells an item at a profit of 15% and uses a weight which is 20% less. Find his actual profit percentage.

Question

Question

This question was previously asked in

SSC CGL 2023 Tier-I Official Paper (Held On: 17 Jul 2023 Shift 1)

Answer 1

Given:

A man sells sugar at 15% profit.

False weights used is 20% less than the actual weight

Concept used:

Gain = Total profit ( i.e., profit from selling + profit from the false weight)/actual CP

Calculation:

Let the Cost price of sugar = 100

⇒ Selling Price = 115

⇒ False dealing in weight with 20%.

⇒ Actual CP = 100 – 20 = 80

Man’s actual profit = 15 + 20 = Rs. 35

Or,

⇒ Man’s actual profit = SP - CP = 115 – 80 = Rs. 35

Actual Profit percent = (35/80) × 100

⇒ 43.75%

∴ The actual profit percentage is 43.75%.