# 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

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

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

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

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**