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A ₹54,000 grant is distributed among Research, Teaching, and Administration in a 6:8:4 ratio. The Teaching department uses ₹5,000 for equipment and ₹3,000 for books, then distributes the rest to four faculty members in a 4:3:2:1 ratio. How much does the faculty member with the smallest share receive?

1. ₹ 1,600
2. ₹ 1,800
3. ₹ 2,000
4. ₹ 2,200

Correct answer: ₹ 1,600

Solution

Teaching gets 8 parts out of 18, so its share is ₹24,000. After spending ₹8,000, ₹16,000 remains, which is divided in the ratio 4:3:2:1; the smallest share is 1 part out of 10, i.e. ₹1,600.

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