1. A started a business with an investment of Rs.20,000 and after a few months later B also joined with an investment of Rs.16,000. At the end of the year their profit share in the ratio of 5: 3 respectively, then find the time period of B?
A) 3 B) 8 C) 9 D) 4 E) 7
Explanation: A : B
Ans: C
2. A and C started a business and B joined after 4 months from the start of the business. The respective ratio between the investments of A, B and C was 3 : 6 : 2. If B’s share in annual profit was Rs.500 more than C’s share, what was the total annual profit earned?
A) Rs.3,600 B) Rs.2,250 C) Rs.2,700 D) Rs.5,400 E) Rs.2,430
Explanation: A : B : C
Ans: B
3. A, B & C invested Rs.25,000, Rs.20,000 and Rs.30,000 respectively and started a business. After 4 months each one of them invested additional amounts of Rs.10,000, Rs.20,000 and Rs.15,000 respectively. If C’s share in the profit at the end of the year was Rs.60,000. What was the total profit earned at the end of one year?
A) Rs.1,65,000 B) Rs.1,52,250 C) Rs.1,55,200 D) Rs.1,48,500 E) Rs.1,57,500
Explanation: A : B : C
25000× 4 + (25000 + 10,000) × 8 : 20,000 × 4 + (20,000 + 20,000) × 8 :30,000 × 4+ (30,000 + 15000) × 8
95 : 100 : 120
19 : 20 : 24
Ans: E
4. A started a business with an investment of Rs.10,000. After 4 months B joined with Rs.18,000 and C joined with Rs.12,000. At the end of 8th month from start of the business, if all of them withdrew half of their initial investments, what is the respective ratio in which the profit should be distributed among A, B and C at the end of 10th month?
A) 2 : 3 : 3 B) 3 : 2 : 4 C) 3 : 3 : 2 D) 2 : 2 : 1 E) 4 : 3 : 1
Explanation: A : B : C
10,000 × 8 + 5000 × 2 : 18,000 × 4 + 9000 × 2 : 12000 × 4 + 6000 × 2
45 : 45 : 30
3 : 3 : 2
Ans: C
5. A, B and C invest in a business and the share of their investment is in the respective ratio of 
After 9 months from the start of the business, B withdrew 
rd of his investment and C quadrupled his initial investment (i.e.,increased to four times). At the end of the year, profit recorded was Rs.4,800. How much was C’s share in profit?
A) Rs.1400 B) Rs.1500 C) Rs.1600 D) Rs.2400 E) Rs.1200
Explanation: A : B : C
Ans: A
6. A and B started a business. Amount invested by B was twice of that invested by A. 6 months from the start of the business, A invested an additional amount of Rs.1000 and B withdrew Rs.2000. If the annual profit earned was distributed among A and B in the respective ratio of 5 : 6, what was A’s initial investment?
A) Rs.500 B) Rs.2000 C) Rs.3000 D) Rs.4000 E) Rs.1000
Explanation: A : B
12x + 6000 = 20x - 10000
8x = 16000
x = 2000
A initial investment (x) = 2000
Ans: B
7. X and Y started a business together by investing Rs.7000 and Rs.9000 respectively. At the end of 6 months from the start of the business, Z joined with an investment of Rs.8000 and X left. If the annual profit was Rs.66,000, what is the share of Z in the profit?
A) Rs.20,000 B) Rs.14, 000 C) Rs.16, 000 D) Rs.36, 000 E) Rs.32, 000
Explanation: X : Y : Z
7000 × 6 : 9000 × 12 : 8000 × 6
7 : 18 : 8
Ans: C
8. A started a business with an investment of Rs.1200. At the end of 8 months from the start of business, B replaced A with an investment of Rs.1400. What is the amount of profit earned by B out of the annual profit of Rs.38000?
A) 12000 B) 1600 C) 10000 D) 9000 E) 14000
Explanation: A : B
1200 × 8 : 1400 × 4
12 : 7
Ans: E
9. A and B started a business with an investment of Rs.2000 and Rs.4000. After 4 months C joined with them with an investment of 30 % more than that of B. The total profit earned by the at the end of the year was Rs.8875, then find the sum of the profit B and C together at the end of the business?
A) 6300 B) 7000 C) 6800 D) 6400 E) 7200
Explanation: A : B : C
2000 × 12 : 4000 × 12 : 5200 × 8
15 : 30 : 26
Ans: B
10. A started a business with an investment of Rs.4800 and After 4 months B also joined with an investment of 50% more than invested by A and after 2 more months C also joined with an investment of 25% more than invested by A. They earned the total profit at the end of the year is 31500, then find the average profit earned by B and C?
A) 9750 B) 9830 C) 9850 D) 9650 E) 9780
Explanation: A : B : C
4800 × 12 : 7200 × 8 : 6000 × 6
48 : 48 : 30
16 : 16 : 10
8 8 : 5
Ans: A
11. A started a business with an investment of Rs.30,000. After 2 months B joins in with Rs.18,000 and after another 4 months C joins with Rs.24,000. At the end of 12 months, if C received Rs.1280 as his share then what was the total profit (in Rs.)?
A) Rs.6,840 B) Rs.6,080 C) Rs.7,030 D) Rs.8,520 E) Rs.4,900
Explanation: A : B : C
30,000 × 12 : 18,000 × 10 : 24000 × 6
10 : 5 : 4
Ans: B
12. A started a business with an investment of Rs.24,000. After 2 months B joins with Rs.16,000 and after another 2 months C joins with Rs.20,000. At the end of 8th month from start of the business, if A withdraws Rs.4000, B withdraws Rs.2000 and C invests Rs.4000. What is the respective ratio in which the profit should be distributed among A, B and C at the end of the year?
A) 34 : 19 : 22 B) 33 : 18 : 23 C) 31 : 18 : 22 D) 30 : 19 : 23 E) 32 : 18 : 25
Explanation: A : B : C
Ans: A
13. A, B and C started a business by investing Rs.16,000, Rs.24,000 and Rs.28,000 respectively. At the end of 4th month, A quits. At the end of 6th month B quits at the same time A re-joins with the same amount. At the end of 10th month C quits, at the same time B re-joins with the same amount. If profit at the end of the year is Rs.44,556, what is B’s share of profit?
A) Rs.12,894 B) Rs.13,536 C) Rs.14,056 D) Rs.13,948 E) Rs.14,282
Explanation: A B C
Ans: B
