Partnership

Ladakh Prison Department · Mathematics · 19 practice questions with answers and explanations: 3 Easy, 14 Medium, 2 Hard.

Sample questions

Sample Easy question 1

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 2

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 Easy question 3

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 Medium question 4

Anil invests Rs. 8000 for 12 months and Bilal invests Rs. 6000 for 9 months in a business. If the total profit is Rs. 18000, find Anil's share of the profit.

  1. Rs. 12020
  2. Rs. 6480
  3. Rs. 10520
  4. Rs. 11520
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Answer: D. Ratio of profits = (8000 × 12) : (6000 × 9) = 96000 : 54000. Anil's share = Rs. 18000 × 96000/150000 = Rs. 11520.

Sample Medium question 5

Anil invests Rs. 8000 for 12 months and Bilal invests Rs. 6000 for 4 months in a business. If the total profit is Rs. 18000, find Anil's share of the profit.

  1. Rs. 13400
  2. Rs. 3600
  3. Rs. 14400
  4. Rs. 14900
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Answer: C. Ratio of profits = (8000 × 12) : (6000 × 4) = 96000 : 24000. Anil's share = Rs. 18000 × 96000/120000 = Rs. 14400.

Sample Medium question 6

Anil invests Rs. 4000 for 12 months and Bilal invests Rs. 6000 for 4 months in a business. If the total profit is Rs. 9000, find Anil's share of the profit.

  1. Rs. 6500
  2. Rs. 5000
  3. Rs. 6000
  4. Rs. 3000
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Answer: C. Ratio of profits = (4000 × 12) : (6000 × 4) = 48000 : 24000. Anil's share = Rs. 9000 × 48000/72000 = Rs. 6000.

Sample Hard question 7

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.

Sample Hard question 8

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.

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