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. Yogesh started a business investing Rs. 45000. After 3 months, Pranab joined him with a capital of Rs. 60000. After another 6 months, Atul joined them with a capital of Rs. 90000. At the end of the year, they made a profit of Rs. 20000. What would be Atuls share in it?

Rs 7000
Rs 6000
Rs 5000
Rs 4000

Answer: Option D

Explanation:

Just take care of the months of investment, rest all will be simple.

Yogesh:Pranab:Atul = 45000*12:60000*9:90000*3
= 2:2:1
Atul's share = Rs. 20000 * (1/5) = Rs. 4000

2. Kamal started a business investing Rs 9000. After five months, Sameer joined with a capital of Rs 8000. If at the end of the year, they earn a profit of Rs. 6970, then what will be the share of Sameer in the profit ?

Rs 2380
Rs 2300
Rs 2280
Rs 2260

Answer: Option A

Explanation:

Now as per question, Kamal invested for 12 months and Sameer invested for 7 months.
So
Kamal:Sameer = (9000*12):(8000*7)
= 108:56
= 27:14

Sameer Ratio in profit will be
\begin{aligned}
= \left(6970*\frac{14}{41}\right) \\
= Rs& 2380
\end{aligned}

3. Check which among following are required to answer this questions :

Three friends started a businesss, let there names are A, B and C. What profit B will get, if,

1. C invested Rs. 8000 for nine months, his profit was 3/2 times that of B's and his investment was four times that of A.

2. A and B invested for one year in the proportion 1 : 2 respectively.

3. The three together got Rs. 1000 as profit at the year end.

Only 1 and 3
Only 1 and 2
All 1, 2 and 3
None of above

Answer: Option C

Explanation:

We will require all the statements to answer this question,

1 and 2 will give :
C = Rs. (8000 x 9) for 1 month = Rs. 72000 for 1 month.
A = Rs. (1/4 * 8000 * 12 ) for 1 month = Rs 24000 for 1 month
B = Rs 48000 for one month

C:A:B = 72000 : 24000 : 48000 = 3 : 1 : 2

From 3, we will get total Profit = 1000

Now from the ratio and total profit we can get Share of C.

C share will be = 1000 * 2/6 = 333 (1/3)

4. In business, A and C invested amounts in the ratio 2:1, whereas the ratio between amounts invested by A and B was 3:2, If Rs 157300 was their profit, how much amount did B receive.

Rs 48000
Rs 47000
Rs 47400
Rs 48400

Answer: Option D

Explanation:

A:B = 3:2 = 6:4
=> A:C = 2:1 = 6:3

=> A:B:C = 6:4:3

B share = (4/13)*157300
= 48400

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}