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A person buys tea of three different qualities at ₹ 800, ₹ 500, and ₹ 300 per kg, respectively, and the amounts bought are in the proportion 2 : 3 : 5. She mixes all the tea and sells one-sixth of the mixture at ₹ 700 per kg. The price, in INR per kg, at which she should sell the remaining tea, to make an overall profit of 50%, is

Updated On: Jan 15, 2026
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The Correct Option is B

Solution and Explanation

Three tea varieties are acquired at unit costs of ₹800, ₹500, and ₹300 per kilogram. Their purchase quantities are in the ratio 2:3:5.

For computational ease, the ratio is scaled to a total that is a multiple of 6, accommodating the separate sale of 5 kg. Multiplying the initial ratio by 3 yields:

Quantities: \( 2 \times 3 = 6 \) kg, \( 3 \times 3 = 9 \) kg, \( 5 \times 3 = 15 \) kg

Aggregate Quantity: \( 6 + 9 + 15 = 30 \) kg

Aggregate Cost:
\( 800 \times 6 = ₹4800 \)
\( 500 \times 9 = ₹4500 \)
\( 300 \times 15 = ₹4500 \)
Total Cost = ₹4800 + ₹4500 + ₹4500 = ₹13,800

A 50% profit margin is applied to the total cost. Thus,

Profit = \( \frac{50}{100} \times 13,800 = ₹6,900 \)

Total Revenue = Cost Price + Profit = \( 13,800 + 6,900 = ₹20,700 \)

Five kilograms of tea are sold at ₹700 per kilogram:
\( 5 \times 700 = ₹3,500 \)

Remaining Quantity = \( 30 - 5 = 25 \) kg
Revenue from Remaining Tea = \( 20,700 - 3,500 = ₹17,200 \)

Sale Price per Kilogram for Remaining Tea =
\( \frac{17,200}{25} = ₹688 \)

Final Result: ₹688 per kg

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In the dynamic realm of creativity, artists often find themselves at the crossroads between drawing inspiration from diverse cultures and inadvertently crossing into the territory of cultural appropriation. Inspiration is the lifeblood of creativity, driving artists to create works that resonate across borders. In a globalized era of the modern world, artists draw from a vast array of cultural influences. When approached respectfully, inspiration becomes a bridge, fostering understanding and appreciation of cultural diversity. However, the line between inspiration and cultural appropriation can be thin and easily blurred.
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