Partnership

Ladakh Police Sub-Inspector · Mathematics · 19 practice questions with answers and explanations: 3 Easy, 14 Medium, 2 Hard.

Sample questions

Sample Easy question 1

A and B start a business with ₹7,000 and ₹5,000 for the same period. In what ratio will they share the profit?

  1. 12 : 7
  2. 5 : 7
  3. 7 : 5
  4. 7 : 12
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Answer: C. For equal periods, profit is shared in the ratio of investments: 7,000 : 5,000 = 7 : 5.

Sample Easy question 2

A's capital is twice B's capital, but B's money is invested for twice as long as A's. In what ratio is the profit shared?

  1. 2 : 1
  2. 1 : 1
  3. 1 : 2
  4. 4 : 1
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Answer: B. A: 2c × t = 2ct. B: c × 2t = 2ct. The ratio is 1 : 1.

Sample Easy question 3

A and B invest ₹4,000 and ₹6,000 respectively in a business for one year. If the profit is ₹5,000, find A's share.

  1. 2000
  2. 2500
  3. 1500
  4. 3000
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Answer: A. Ratio 4,000 : 6,000 = 2 : 3. A's share = 2/5 × 5,000 = ₹2,000.

Sample Medium question 4

A, B and C invest ₹5,000, ₹7,000 and ₹8,000 for a year. Out of a profit of ₹4,000, how much does C get?

  1. 2000
  2. 1000
  3. 1600
  4. 1400
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Answer: C. Ratio = 5 : 7 : 8 (total 20). C's share = 8/20 × 4,000 = ₹1,600.

Sample Medium question 5

A starts a business with ₹4,500. After 4 months B joins with ₹6,000. At the end of the year the profit is ₹8,500. Find A's share.

  1. 4500
  2. 4000
  3. 5500
  4. 5000
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Answer: A. Ratio = 4,500×12 : 6,000×8 = 54,000 : 48,000 = 9 : 8. A's share = 9/17 × 8,500 = ₹4,500.

Sample Medium question 6

A and B invest ₹12,000 and ₹18,000 for a year and earn a profit of ₹7,500. What is the difference between their shares?

  1. 2000
  2. 1500
  3. 3000
  4. 1000
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Answer: B. Ratio 2 : 3 gives ₹3,000 and ₹4,500. Difference = ₹1,500.

Sample Hard question 7

A and B invest ₹20,000 and ₹30,000. After 6 months C joins with ₹40,000. At the end of the year the profit is ₹28,000. Find C's share.

  1. 9000
  2. 10000
  3. 7000
  4. 8000
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Answer: D. Ratio = 20,000×12 : 30,000×12 : 40,000×6 = 240 : 360 : 240 = 2 : 3 : 2. C's share = 2/7 × 28,000 = ₹8,000.

Sample Hard question 8

A invests ₹8,000 and B invests ₹12,000 for a year. B, as the working partner, gets 10% of the profit as salary, and the rest is shared in proportion to capital. If the profit is ₹20,000, find A's total share.

  1. 8000
  2. 7200
  3. 9000
  4. 6400
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Answer: B. Salary to B = ₹2,000. Remaining ₹18,000 is shared 8,000 : 12,000 = 2 : 3, so A = 2/5 × 18,000 = ₹7,200.

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