Multiple choice

X, Y and Z start a business. Ratio of investment of X and Y is 5 : a while ratio of investment of Y and Z is 7 : 10. X, Y and Z invested for 8 months, 6 months and 12 months respectively. Then find the value of a, if out of total profit of Rs. 3130, in which X shared a profit of Rs. 700? X, Y और Z एक व्यवसाय शुरू करते हैं। X और Y के निवेश का अनुपात 5 : a जबकि Y और Z के निवेश का अनुपात 7:10 है। X, Y और Z ने क्रमशः 8 महीने, 6 महीने और 12 महीने के लिए निवेश किया। तो a का मान ज्ञात कीजिए, यदि 3130 रुपये के कुल लाभ में से X ने रु. 700 का लाभ साझा किया।

  1. 4

  2. 6

  3. 8

  4. 9

  5. None of these इनमें से कोई नहीं
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

In a partnership, profit is distributed in proportion to investment × time. X's effective investment = 5 × 8 = 40, Y's = a × 6 = 6a, Z's = 7 × 12 = 84 (since Y:Z = 7:10, Y's investment is 7k). Total ratio = 40 + 6a + 84 = 124 + 6a. X's share = 700/3130. Setting up the proportion: 40/(124 + 6a) = 700/3130, solving gives a = 6. Option B is correct. Options A (4), C (8), and D (9) would give different profit shares for X.

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