Question

A man buys goods for Rs. 8,000. He sells 30% of those goods at a profit of 12% and 40% of the remaining goods at a profit of 25%. At what profit percentage should he sell the remaining goods to gain 30% in the entire transaction (correct to one decimal place)?
1. 46.2%
2. 48.4%
3. 31.6%
4. 42.6%

Answer 1

Correct Answer - Option 1 : 46.2%

Given:

Cost price of goods = Rs. 8000

Formula used:

Profit = SP – CP

Profit% = Profit/CP × 100

Calculation:

According to the question

30%of goods = (8000 × 30/100)

⇒ Rs. 2400

Profit = 12%

SP = (2400 × 112/100)

⇒ Rs. 2688

CP of 40% of remaining goods = (8000 – 2400) = Rs. 5600

⇒ (5600 × 40/100)

⇒ Rs. 2240

CP of 40% of remaining goods = Rs. 2240

Profit = 25%

SP = (2240 × 125/100)

⇒ Rs. 2800

He has to gain 30% on whole transaction

SP = (8000 × 130/100)

⇒ Rs. 10400

CP left = [8000 – (2400 + 2240)

⇒ (8000 – 4640)

⇒ Rs. 3360

SP left = [10400 – (2688 + 2800)]

⇒ (10400 – 5488)

⇒ Rs. 4912

Profit ended on remaining goods = Rs. (4912 – 3360)

⇒ Rs. 1552

Profit% = (1552/3360 × 100)

⇒ Rs.(155,200/3360)

⇒ 46.2%

∴ Required profit percentage is 46.2%