Partnership — Practice

Question 1

A and B invest ₹5000 and ₹7000 respectively for the same period. If the total profit is ₹2400, B's share is:
(a) ₹1000 (b) ₹1200 (c) ₹1400 (d) ₹1600

Accepted Answer

(c) ₹1400.

Equal time → ratio 5:7. B = 7/12 × 2400 = ₹1400.

Question 2

A, B and C invest in the ratio 2:3:5 for the same time. Of a total profit of ₹20,000, C's share is:
(a) ₹6000 (b) ₹8000 (c) ₹10,000 (d) ₹12,000

Accepted Answer

(c) ₹10,000.

C = 5/(2+3+5) × 20,000 = 5/10 × 20,000 = ₹10,000.

Question 3

A invests ₹8000 for 6 months and B ₹6000 for 8 months. A profit of ₹5000 is shared as:
(a) ₹3000, ₹2000 (b) ₹2500 each (c) ₹2000, ₹3000 (d) ₹2800, ₹2200

Accepted Answer

(b) ₹2500 each.

8000 × 6 : 6000 × 8 = 48,000 : 48,000 = 1:1, so ₹2500 each.

Question 4

A starts a business with ₹45,000. After 3 months B joins with ₹60,000. At the end of the year the profit is ₹14,000. B's share is:
(a) ₹6000 (b) ₹7000 (c) ₹8000 (d) ₹9000

Accepted Answer

(b) ₹7000.

A = 45,000 × 12 = 540,000; B = 60,000 × 9 = 540,000. Ratio 1:1 → B gets ₹7000.

Question 5

A invests ₹3000 for 4 months and then ₹4000 for the remaining 8 months; B invests ₹4000 for the whole year. The ratio of their profits is:
(a) 11:12 (b) 12:11 (c) 3:4 (d) 1:1

Accepted Answer

(a) 11:12.

A = 3000×4 + 4000×8 = 44,000; B = 4000×12 = 48,000. Ratio 44,000:48,000 = 11:12.

Question 6

A (₹20,000) and B (₹30,000) start a business. A, the working partner, receives 10% of the profit for management and the rest is shared by capital. If the total profit is ₹19,000, A's total earning is:
(a) ₹7600 (b) ₹8100 (c) ₹8740 (d) ₹9200

Accepted Answer

(c) ₹8740.

Commission = 10% of 19,000 = 1900. Remaining 17,100 splits 20,000:30,000 = 2:3 → A = 2/5 × 17,100 = 6840. Total = 1900 + 6840 = ₹8740.

Question 7

A invests ₹3000 for 8 months and B ₹4000 for some months. If B's share is 2/5 of the total profit, B invested for:
(a) 3 months (b) 4 months (c) 5 months (d) 6 months

Accepted Answer

(b) 4 months.

A:B = 3:2. So 3000×8 : 4000×t = 3:2 → 24,000 × 2 = 3 × 4000t → 48,000 = 12,000t → t = 4 months.

Question 8

A and B invested in the ratio 3:2. Of the profit, 5% goes to charity and A's share is ₹855. The total profit is:
(a) ₹1425 (b) ₹1500 (c) ₹1520 (d) ₹1600

Accepted Answer

(b) ₹1500.

After charity, 0.95P is shared 3:2, so A gets 3/5 × 0.95P = 0.57P = 855 → P = ₹1500.

Question 9

A invests ₹6500 for 6 months, B ₹8400 for 5 months and C ₹10,000 for 3 months. The ratio of their profits is:
(a) 13:14:10 (b) 12:14:11 (c) 13:12:10 (d) 14:13:10

Accepted Answer

(a) 13:14:10.

Capital-months: A = 39,000, B = 42,000, C = 30,000 → 39:42:30 = 13:14:10.

Practice — Partnership

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