Question 1

P, Q, and R start a business with investments in the ratio 2:3:4. If the total profit is ₹18,000, what is R's profit share?

Accepted Answer

Step 1: Profit is distributed in the ratio of investments. P:Q:R = 2:3:4. Step 2: Total parts = 2 + 3 + 4 = 9. Step 3: R's share = (4/9) × 18,000 = ₹8,000.

Question 2

A and B enter into a partnership with capital investments of ₹15,000 and ₹25,000 respectively. If the profit at the end of the year is ₹8,000, what is B's share of the profit?

Accepted Answer

Step 1: Profit is distributed in the ratio of capital investments. Ratio of A's capital to B's capital = 15,000 : 25,000 = 3 : 5. Step 2: Total parts = 3 + 5 = 8. Step 3: B's share = (5/8) × 8,000 = ₹5,000.

Question 3

Two partners invest capital in the ratio 5:7. If the total capital is ₹48,000, and the profit is ₹9,600, what is the smaller partner's profit share?

Accepted Answer

Step 1: Capital ratio = 5:7. Total parts = 5 + 7 = 12. Step 2: Smaller partner's capital = (5/12) × 48,000 = ₹20,000. Step 3: Since time is equal, profit ratio = capital ratio = 5:7. Step 4: Smaller partner's profit = (5/12) × 9,600 = ₹4,000.

Question 4

A, B, and C invest ₹10,000, ₹15,000, and ₹20,000 respectively for equal time periods. The profit is ₹9,000. How much more profit does C get compared to A?

Accepted Answer

Step 1: Since time is equal, profit ratio = capital ratio = 10,000 : 15,000 : 20,000 = 2:3:4. Step 2: Total parts = 2 + 3 + 4 = 9. Step 3: A's share = (2/9) × 9,000 = ₹2,000. Step 4: C's share = (4/9) × 9,000 = ₹4,000. Step 5: Difference = 4,000 - 2,000 = ₹2,000.

Question 5

M and N invest ₹20,000 and ₹30,000 respectively in a business. After 1 year, M withdraws ₹5,000 and N adds ₹10,000. If the profit after 2 years is ₹12,000, what is M's profit share?

Accepted Answer

Step 1: M's capital-time product = (20,000 × 1) + (15,000 × 1) = 20,000 + 15,000 = 35,000. Step 2: N's capital-time product = (30,000 × 1) + (40,000 × 1) = 30,000 + 40,000 = 70,000. Step 3: Ratio M:N = 35,000 : 70,000 = 1:2. Step 4: Total parts = 3. Step 5: M's share = (1/3) × 12,000 = ₹4,000.

Question 6

X and Y form a partnership. X invests ₹12,000 for 8 months and Y invests ₹16,000 for 6 months. If the profit is ₹4,400, what is X's share?

Accepted Answer

Step 1: In partnerships with different time periods, profit is distributed in the ratio of (Capital × Time). X's contribution = 12,000 × 8 = 96,000. Y's contribution = 16,000 × 6 = 96,000. Step 2: Ratio X:Y = 96,000 : 96,000 = 1:1. Step 3: X's share = (1/2) × 4,400 = ₹2,200.

Question 7

P, Q, and R form a partnership where P and Q invest equal amounts, but P invests for 12 months while Q invests for only 8 months. R invests twice the amount of P for 6 months. If the profit is ₹4,800, what is Q's profit share?

Accepted Answer

Step 1: Let P's investment = Q's investment = ₹x. R's investment = ₹2x. Step 2: P's contribution = x × 12 = 12x. Q's contribution = x × 8 = 8x. R's contribution = 2x × 6 = 12x. Step 3: Ratio = 12x : 8x : 12x = 12 : 8 : 12 = 3 : 2 : 3. Step 4: Total parts = 3 + 2 + 3 = 8. Step 5: Q's profit = (2/8) × 4,800 = ₹1,200.

Question 8

A and B enter into a partnership. A invests ₹8,000 for the entire year. B invests ₹6,000 for 9 months. At the end of the year, the profit is ₹3,500. How much more profit does A get compared to B?

Accepted Answer

Step 1: A's contribution = 8,000 × 12 = 96,000. B's contribution = 6,000 × 9 = 54,000. Step 2: Ratio of profits = 96,000 : 54,000 = 16 : 9 (dividing by 6,000). Step 3: Total parts = 16 + 9 = 25. Step 4: A's profit = (16/25) × 3,500 = ₹2,240. B's profit = (9/25) × 3,500 = ₹1,260. Step 5: Difference = 2,240 - 1,260 = ₹980.

Question 9

Four partners A, B, C, and D invest ₹5,000, ₹7,500, ₹10,000, and ₹12,500 respectively for 12 months each. After one year, they earn a profit of ₹7,000. If A withdraws his capital and the remaining three partners continue for another year with the same capital, what is the total profit earned in the second year if the profit rate remains the same?

Accepted Answer

Step 1: First year profit ratio = 5000 : 7500 : 10000 : 12500 = 2 : 3 : 4 : 5 (dividing by 2500). Total parts = 14. Profit per part = 7000/14 = ₹500. Step 2: This confirms the profit rate. Step 3: Second year, only B, C, D invest with same amounts for 12 months. Ratio = 7500 : 10000 : 12500 = 3 : 4 : 5. Total parts = 12. Step 4: If profit rate is ₹500 per part, second year profit = 12 × 500 = ₹6,000.

SSC CPO Partnership

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