Multiple choice

A, B and C took a work for ₹13,200 . If A can do half of the work in 2/3 time taken by B and thrice the work in the time taken by C. If together they can finish the work in 2 days. Find the share of A (in Rs.)? A, B और C किसी कार्य के लिए ₹13,200 निश्चित करते हैं | यदि A आधा कार्य B के 2/3 समय में पूरा करता हैं , जबकि C द्वारा लिए गए समय में 3 गुना कार्य करता हैं | यदि यह तीनो मिलकर कार्य 2 दिन में समाप्त कर सकते हैं , तो A की प्राप्त राशि ज्ञात कीजिये (रु.में) |

  1. ₹ 2200

  2. ₹ 4400

  3. ₹ 6600

  4. ₹ 8800
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C Correct answer
Explanation

Let A's time = 3t, then B's time = 2t (A does half work in 2/3 of B's time). A's work in 2 days: 2/(3t), C's work: 2/40 = 1/20. Given A does thrice work of C in same time: 3×(1/20) = 2/(3t) gives t = 10/9. Work rates: A = 3/40, B = 2/45, C = 1/40. Total rate = 53/360. Ratio of work A:B:C = 3:2:1. A's share = (3/6) × 13,200 = ₹6,600.

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