Examples(Set 2) - Partnership

6. A starts a business with a capital of Rs. 85,000. B joins in the business with Rs.42500 after some time. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?
A. 6 months
B. 5 months
C. 8 months
D. 7 months

Answer: Option C

Explanation:
Let B joined for M months
85000×12:42500×M=3:1
M=8

7. Yashwant and Rishikesh invest in a business in the ratio 3: 2. Assume that 5% of the total profit goes to charity. If Yashwant's share is Rs. 855, what is the total profit?
A. 1600
B. 1400
C. 1200
D. 1500

Answer: Option D

Explanation:

Assume that the total profit is T
Since 5% goes for charity, 95% of T will be divided between Yashwant and Rishikesh in the ratio 3 : 2
Therefore, Yashwant's profit = 95T/100 ×3/5 = 855

T=1500

8. A starts a business with Rs.40,000. After 2 months, B joined him with Rs.60,000. C joined them after some more time with Rs.1,20,000. At the end of the year, out of a total profit of Rs.3,75,000, C gets Rs.1,50,000 as his share. How many months after B joined the business, did C join?
A. 5 months
B. 6 months
C. 7 months
D. 4 months

Answer: Option D

Explanation:
Assume that C was there in the business for M months
A:B:C = 40000 × 12 : 60000 × 10 : 120000 × M
= 4 : 5 : M
C's share =375000 x M/(M+4+5)=375000M/9+M =150000
⇒ M = 6
It means C was there in the business for 6 months. Given that B joined the business after 2 months. Hence C joined 4 months after B joined.

9)A, B and C invest in a partnership in the ratio: 7/2 , 4/3 , 6/5 . After 4 months, A increases his share 50%. If the total profit at the end of one year is Rs.21,600, then what is B's share in the profit?
A. 3000
B. 5000
C. 2000
D. 4000
Answer: Option D

Explanation:
Given Ratio = 7/2 : 4/3 : 6/5 = 105 : 40 : 36
Let them initially invest Rs. 105, Rs. 40 and Rs. 36 respectively.

Ratio investment = [105 x 4 + (150% of 105) x 8] : (40 x 12) : (36 x 12)
=1680 : 480 : 432 = 35 : 10 : 9
∴ B's share = Rs. 21600 x (10/54) = Rs. 4000

10. 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 wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. What is the share of B in the profit.
A. 10000
B. 2660
C. 4000
D. 2300

Answer: Option C

Explanation:
For managing, A received = 5% of Rs. 7400 = Rs. 370.
Balance = Rs. (7400 - 370) = Rs. 7030.
Ratio of their investments = (6500 x 6) : (8400 x 5) : (10000 x 3)
= 39000 : 42000 : 30000
= 13 : 14 : 10

Share of B in the profit
=7030 x 14/37 =2660