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Question Detail
A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined them after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed amount A, B and C
- 3:7:5
- 6:10:5
- 6:10:7
- 6:7:5
Answer: Option B
Explanation:
Let initial investment of A is 3x and B is 5x, then C investment is also 5x, but most important to note in this question is the time duration of investment
Like, A invested for 12 months, B invested for 12 months and C invested for 6 months.
A:B:C =(3x*12):(5x*12):(5x*6)
= 36:60:30
= 6:10:5
1. A started a business with Rs.21,000 and is joined afterwards by B with Rs.36,000. After how many months did B join if the profits at the end of the year are divided equally?
- 4
- 5
- 6
- 7
Answer: Option B
Explanation:
Suppose B joined after x months
then,
21000*12=36000*(12-x)
=> 36x = 180
=> x = 5
2. P and Q started a business investing Rs 85000 and Rs 15000 resp. In what ratio the profit earned after 2 years be divided between P and Q respectively.
- 17:5
- 17:3
- 17:6
- 17:7
Answer: Option B
Explanation:
In this type of question as time frame for both investors is equal then just get the ratio of their investments.
P:Q = 85000:15000
= 85:15
= 17:3
3. A,B and C enter into a partnership investing Rs 35000, Rs 45000 and 55000. Find the their respective shares in annual profit of 40,500
- 10500, 13500, 19500
- 10500, 13500, 18500
- 10500, 13500, 17500
- 10500, 13500, 16500
Answer: Option D
Explanation:
A:B:C = 35000:45000:55000 = 7:9:11
A's share = (7/27) *40500 = Rs 10500
B's share = (9/27) *40500 = Rs 13500
C's share = (11/27)*40500 = Rs 16500
[In options we can see that only salary of C is different in all options. So we cn just calculate the C share to solve question quickly :) ]
4. A and B entered into a partnership investing Rs. 16000 and Rs. 12000 respectively. After 3 months, A withdrew Rs. 5000 while B invested Rs. 5000 more. After 3 more months C joins the business with a capital of Rs. 21000. The share of B exceeds that of C, out of a total profit of Rs. 26400 after one year by
- Rs. 3200
- Rs. 3400
- Rs. 3600
- Rs. 3800
Answer: Option C
Explanation:
A:B: C = 16000*3 + 11000*9:12000*3 + 17000*9:21000*6
= 147:189:126 = 7:9:6
Difference of B and C’s shares =
Rs. [26400 * (9/22) — 26400 * (6/22))
= Rs. 3600
5. A, B and C enter into a partnership investing Rs 35000, Rs 45000 and Rs 55000 resp. The respective share of A,B and C in an annual profit of Rs 40500 are.
- Rs. 11500, Rs. 13500, Rs. 16500
- Rs. 10500, Rs. 12500, Rs. 16500
- Rs. 10500, Rs. 13500, Rs. 15500
- Rs. 10500, Rs. 13500, Rs. 16500
Answer: Option D
Explanation:
A:B:C = 35000:45000:55000
= 7:9:11
Now we are having the ratio.
to get the share, first make total of above ratio.
then get each share.
\begin{aligned}
\text{A's Share} = 40500*\frac{7}{27} \\
= Rs&10500 \\
\text{B's Share} = 40500*\frac{9}{27} \\
= Rs&13500 \\
\text{B's Share} = 40500*\frac{11}{27} \\
= Rs&16500 \\
\end{aligned}
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