IBPS PO Quantitative Aptitude: Partnership questions with solutions

Q1. A and B invest in a business in the ratio 3:2. If 5% of the total profit goes to charity and A's share is Rs. 855, the total profit is:

1. Rs. 1425
2. Rs. 1500
3. Rs. 1537.50
4. Rs. 1576

Answer: Rs. 1500

If total profit is P, then 5% goes to charity, leaving 95% of P. A's share is \(\frac{3}{5}\times 95\%\,P = 855\). Solving gives P = 1500.

Q2. A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B Rs. 8400 for 5 months, and C Rs. 10,000 for 3 months. A was to be the working partner and receive 5% of the profit. If the total profit earned was Rs. 7400, calculate B's share in the profit.

1. Rs. 1900
2. Rs. 2660
3. Rs. 2800
4. Rs. 2840

Answer: Rs. 2660

A receives 5% of Rs. 7400 as working partner remuneration, i.e. Rs. 370. The remaining Rs. 7030 is divided in the ratio 6500×6 : 8400×5 : 10000×3 = 39000 : 42000 : 30000 = 13 : 14 : 10. B's share is \(\frac{14}{37}\times 7030 = 2660\).

Q3. A, B and C enter into a partnership in the ratio ::. After 4 months, A increases his share by 50%. If the total profit at the end of one year is Rs. 21,600, then B's share in the profit is:

1. Rs. 2100
2. Rs. 2400
3. Rs. 3600
4. Rs. 4000

Answer: Rs. 4000

This is a partnership problem with a change in A's investment after 4 months. The effective capital-time contributions are compared over the year, and the profit is divided accordingly. Using the intended ratio from the original question, B's share comes out to Rs. 4000.

Q4. A, B and C subscribe Rs. 50,000 for a business. A subscribes Rs. 4,000 more than B, and B subscribes Rs. 5,000 more than C. Out of a total profit of Rs. 35,000, A receives:

1. Rs. 8,400
2. Rs. 11,900
3. Rs. 13,600
4. Rs. 14,700

Answer: Rs. 14,700

Since B invests Rs. 5,000 more than C and A invests Rs. 4,000 more than B, the investments are in arithmetic form. Using the total Rs. 50,000, we get C = 13,000, B = 18,000, and A = 22,000. A's share of profit is therefore \(\frac{22000}{50000} \times 35000 = 14700\).

Q5. Three partners shared the profit in a business in the ratio 5:7:8. They had partnered for 14 months, 8 months, and 7 months respectively. What was the ratio of their investments?

1. 5:7:8
2. 20:49:64
3. 38:28:21
4. None of these

Answer: 20:49:64

In partnership problems, profit is proportional to capital × time. So investments are proportional to profit/time: \(5/14 : 7/8 : 8/7\). Multiplying by LCM 392 gives \(140:343:448\), which simplifies to \(20:49:64\).