Multiple choice

Megha sold four-fifth of her rice at a gain of 8% and the remaining at the cost price. What was the percentage gain in the whole transaction?

  1. 4.6%

  2. 4.9%

  3. 5.5%

  4. 6.4%

  5. 7.2%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let total rice be 5 units at cost 1 per unit. 4 units sold at 8% gain (4 * 1.08 = 4.32). 1 unit sold at cost (1 * 1 = 1). Total revenue = 5.32. Total cost = 5. Gain = 0.32. Percentage gain = (0.32/5) * 100 = 6.4%.

AI explanation

Assume the total cost price of the rice is Rs. 100. Megha sells 4/5 of the rice at an 8% gain, earning a profit of Rs. 6.40 on that portion, and sells the rest at cost price. The total profit is Rs. 6.40 on the overall cost of Rs. 100. The total percentage gain is 6.4%.

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