Arithmetic

Profit & Loss

Medium

A trader sold half of his articles at 60% profit, half of the remaining at 20% loss and the rest was sold at the cost price. In total transaction his gain % or loss % will be:

Gain 20 %

Loss 5 %

Gain 40 %

Gain 25 %

✅ Correct Option: 4

Let total = 4 articles. Half (2) sold at 60% profit; half of remaining (1) at 20% loss; last 1 at cost. Using weighted average: $(2 \times 60 + 1 \times (-20) + 1 \times 0)/4 = (120 - 20)/4 = 100/4 = 25\%$ gain.

2023: 21 May Shift 1

If selling price of 80 articles is equal to the cost price of 100 articles, then find the gain percentage.

2026: 30 May Shift 1

After getting two successive discounts, a book with a list price of Rs. 150 is available at Rs. 105. If the second discount is 12.5%, find the first discount.

2024

An item is sold for ₹ 504 after allowing 20% discount and still a profit of 5% has been earned. The marked price is how much more than the cost price ?

2022: 8 Aug Shift 1

A man makes a profit of 20% after selling a product on 28% discount on the printed price. Find the ratio of printed price to cost price

2025: 21 May Shift 1

X sold an article to Y at a profit of 18%. Later on, Y sold it back to X at a profit of 40%, thereby gaining ₹ 118. How much did X pay for the article originally?

2025: 2 June Shift 2

The profit earned after selling an item for ₹ 797 is the same as the loss incurred after selling the same item for ₹ 635. What is the cost price of the item?

A trader sold half of his articles at 60% profit, half of the remaining at 20% loss and the rest was sold at the cost price. In total transaction his gain % or loss % will be:

Solution

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