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Question Detail
Sumit and Ravi started a business by investing Rs 85000 and 15000 respectively. In what ratio the profit earned after 2 years be divided between Sumit and Ravi respectively.
- 17:1
- 17:2
- 17:3
- 17:4
Answer: Option C
Explanation:
Note: If you have clear concept of ratio and proportion chapter then it will really easy for you to solve partnership problems.
P:Q = 85000:15000 = 17:3
Important to note there that if both have invested for different period of times then we had to multiply with number of months to get the desired ratio.
1. 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}
2. 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
3. Arun, Kamal and Vinay invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. Arun left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of Kamal?
- Rs 870
- Rs 880
- Rs 890
- Rs 900
Answer: Option C
Explanation:
Arun : Kamal : Vinay = (8,000 x 6) : (4,000 x 8) : (8,000 x 8)
= 48 : 32 : 64
= 3 : 2 : 4
\begin{aligned}
\text{Kamal's share}= 4005 * \frac{2}{9}\\
= Rs 890
\end{aligned}
4. 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)
5. Rahul and Bharti are partners in a business. Rahul contributes 1/4th capital for 15 months and Bharti received 2/3 of profit. For how long Bharti money was used.
- 8 months
- 10 months
- 11 months
- 17 months
Answer: Option B
Explanation:
Let the total profit be Rs. Z
Bharti's share = (2/3)Z
Rahul's Share = Z-(2/3)Z = Z/3
Rahul:Bharti = Z/3:(2/3)Z = 1:2
Now let the total capital be Rs X, and Bharti capital was used for Y months
then, Rahul capital will be (1/4)X and Bharti capital wil be X-(1/4)X = 3X/4
\begin{aligned}
\frac{\frac{1}{4}X*15}{\frac{3}{4}X*Y}= \frac{1}{2} \\
Y = \frac{15*2}{3} = 10
\end{aligned}
So Bharti's money was used for 10 months
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