A shopkeeper claims that he is selling rice at Rs.27/kg which cost him Rs.30/kg, but he gives 750 grams instead of 1000 grams. What is his profit or loss percentage?

Question

Question

This question was previously asked in

SSC CHSL 2021 (Held On : 8 June 2022 Shift 2)

Answer 1

Given

Price at which he sells rice = 30Rs/kg

Price shopkeeper claims = 27Rs/kg

Quantity marked = 1000g

Quantity given = 750g

Formula used

Profit %\(=\frac{S-C}{C}× 100\)

Calculation

The shopkeeper claims he is selling 1000g at price of 27Rs/kg=27Rs

But originally he uses 750g for 30Rs/kg = 22.5Rs

From the above, cost price = 22.5Rs

Selling price = 27Rs

Profit % =\(\frac{S-C}{C}× 100=\frac{27-22.5}{22.5}× 100=20%\)%

The total profit shopkeeper earned is 20%

Shortcut Trick

⇒ CP : SP = 30 × 750 : 27 × 1000 = 5 : 6

so profit = 6 - 5 = 1 P% = (1/5) × 100 = 20