A dishonest shopkeeper who sells sugar, uses a faulty weight. Instead of 1 kg he uses only 800 grams. If the cost price of sugar is Rs. 50/kg and the actual profit percent of the shopkeeper is 20%, then calculate at what profit/loss percent does he sell 1 kg sugar ?

Question

A dishonest shopkeeper who sells sugar, uses a faulty weight. Instead of 1 kg he uses only 800 grams. If the cost price of sugar is Rs. 50/kg and the actual profit percent of the shopkeeper is 20%, then calculate at what profit/loss percent does he sell 1 kg sugar ?

5% Profit
4% Loss
5% Loss
4% Profit

LohaHridoy

7 views

2025-01-04 04:42

1 Answers

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AhmedNazir · Accepted Answer · 2022-09-04T04:29:57+06:00

Option 2 : 4% Loss

Given:

CP = Rs. 50/kg

Actual profit = 20%

Uses 800 grams instead of 1 kg

Formula Used:

Profit % = ((SP - CP)/CP) × 100

Loss % = ((CP - SP)/CP) × 100%

Calculation:

Cost price of 1000 grams sugar = Rs. 50

He gives 800 grams instead of 1000 grams

Cost price of 800 grams = Rs. (800/1000) × 50

⇒ Cost price of 800 grams = Rs. 40

The actual profit percent is 20%

Profit % = ((SP - CP)/CP) × 100

⇒ 20 = ((SP - 40)/40) × 100

⇒ SP - 40 = 8

⇒ SP = Rs. 48

Loss % = ((CP - SP)/CP) × 100%

⇒ Loss % = ((50 - 48)/50) × 100

⇒ Loss % = 4%

∴ The shopkeeper sells 1 kg sugar at a loss of 4%.