Directions: Each of the questions given below is followed by series of options among which you have to choose the best one. You can also review your choices by clicking into answer section.
16. A and B started a partnership business investing capital in the ratio of 3 : 5. C joined in the partnership after six months with an amount equal to that of B. At the end of one year, the profit should be distributed among A, B and C in — proportion.
A. 10 : 5 : 4
B. 5 : 3 : 4
C. 3 : 4: 5
D. 6 : 10 : 5
Answer
Explanation:
Initial investment capital ratio of A and B = 3 : 5
Hence we can assume that initial capital of A and B are 3x and 5x respectively.
Amount that C invest after 6 months = 5x (Since it is equal to B's investment)
Ratio in which profit should be distributed after 1 year = 3x*12 : 5x * 12 : 5x*6
= 3*12 : 5*12 : 5*6
= 6 : 10 : 5
17. A, B, C share the profits earned after a year in the ratio of 6:8:9. A was a full-time partner. B had partnered for 4 months and C had partnered for 6 months. Find the ratio of their investments.
A. 6:8:9
B. 6:2:3
C. 4:2:9
D. 1:4:3
Answer
Explanation:
A*12:B*4:C*6 = 6:8:9 A:B:C = (6/12):(8/4):(9/6) = 1:4:3
18. Alok started a business investing Rs.90000. After 3 months Shabir joined him with a capital of Rs.120000. If at the end of 2 years, the total profit made by them was Rs.96000, what will be the difference between their shares?
A.Rs. 20000
B.Rs. 7384
C.Rs. 24000
D.none of these
Answer
Explanation:
Alok: Shabir = 90000 x 24: 120000 x 21 = 6 : 7.
Difference of their shares
= Rs. [96000 * (7/13) – 96000 * (6/13)] = Rs. (96000/13) = Rs.7384.62.
19. Rahul starts a business investing Rs.30000. After a year, Sunil joins him with a capital of Rs.40000 and Tarun joins them after another year with Rs.50000. The profit at the end of three years is Rs.44000. Find Sunil's share.
A. Rs.22000
B. Rs.20000
C. Rs.16000
D. Rs.15000
Answer
Explanation:
Ratio of their investments after 3 years = (30000*3):(40000*2):(50000) = 9:8:5 Sunil's share = (8/22)*44000 = Rs.16000
20. P , Q, R enter into a partnership & their share are in the ratio 1/2 : 1/3 : 1/4 , after two months , P withdraws half of the capitals & after 10 months , a profit of Rs 378 is divided among them . What is Q's share?
A. 114
B. 120
C. 134
D. 144
Answer
Explanation:
The ratio of their initial investment = 1/2 : 1/3 : 1/4 = 6 : 4: 3
Let's take the initial investment of P, Q and R as 6x, 4x and 3x respectively
A:B:C = (6x * 2 + 3x * 10) : 4x*12 : 3x*12
= (12+30) : 4*12 : 3*12
=(4+10) : 4*4 : 12
= 14 : 16 : 12
= 7 : 8 : 6
B's share = 378 * (8/21) = 18 * 8 = 144
21. A and B enter into a partnership investing equal amounts. A doubled his capital after a year while B withdrew his capital after 1.5 years. Find the ratio of profit share after 2 years.
A. 2:1
B. 3:2
C. 4:3
D. 3:1
Answer
Explanation:
1.5 years = 18 months
Let the amount invested by them be Rs.x
A:B = [(x*12)+(2x*12)]:[x*18]
=36x:18x
=36:18
=2:1
