Question

Lalit marks up his goods by 40% and gives a discount of 10%. Apart from this, he uses a faulty balance also, which reads 1000 gm for 800 gm. What is his net profit percentage? (a) 57.5% (b) 57% (c) 61% (d) 62.5%

Answer 1

Answer:

Step-by-step explanation:

Let us assume his CP/kg = Rs. 100

⇒ His SP/kg = Rs. 126

⇒ His Actual CP/kg = Rs. 80 (? he uses faulty balance)

⇒ Profit = Rs. 46

⇒ profit percentage = 46/80 x 100 = 57.5%

∴ Profit percentage is 57.5%

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Answer 2

Given:

Lalit marks up the goods price by 40% and he sells at a discount of 10%. Lalit also uses a faulty balance which reads 1000 grams for 800 grams.

To Find:

The net profit percentage earned by Lalit is?

Solution:

1. Let the price per 100 grams be Rs 10.

2. The cost price of 800 grams will be 10 x 8 = Rs 80.

=> Cost Price of 800 grams = Rs 80.

3. As Lalit measures a faulty balance of 1000 grams for 800 grams,

=> The price for 1000 grams = Rs 100.

=> Proft earned by Lalit as of now = Rs 100 - Rs 80,

=> Profit earned by Lalit as of now = Rs 20.

4. Lalit marks the price of the goods by 40%,

=> Selling price as of now = 100 + 40% of 100,

=> Selling price as of now = 100 + 40,

=> Selling price as of now = Rs 140.

=> Profit earned by Lalit as of now = Rs 140 - 80,

=> Profit earned by Lalit as of now = Rs 60.

5. Lalit now gives a discount on the Selling price,

=> Final selling price = 140 - discount,

=> Final selling price = 140 - 10% of 140,

=> Final selling price = 140 - 14,

=> Final selling price = Rs 126.

6. The net profit earned by Lalit = Final selling price - Original cost price,

=> Final net profit = 126 - 80,

=> Final net profit = Rs 46.

7. The net profit percentage earned by Lalit is,

=> Profit percentage = (Profitx100)/(Cost price),

=> Profit percentage = (46 x 100)/(80),

=> Profit percentage = 57.5%.

Therefore, the net profit percentage is 57.5%. Option A is the correct answer.