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Question Detail
Nirmal and Kapil started a business investing Rs. 9000 and Rs. 12000 respectively. After 6 months, Kapil withdrew half of his investment. If after a year, the total profit was Rs. 4600, what was Kapil’s share initially ?
- Rs 2300
- Rs 2400
- Rs 2500
- None of above
Answer: Option A
Explanation:
Nirmal:Kapil = 9000*12:(12000*6+6000*6) = 1:1
Kapils share = Rs. [4600 *(1/2)) = Rs. 2300
1. Three partners A,B and C shared the profit in a software business in the ratio 5:7:8. They had partnered for 14 months, 8 months and 7 months respectively. Find the ratio of their investments?
- 19:49:64
- 20:49:64
- 20:49:65
- 20:50:64
Answer: Option B
Explanation:
Let their investments be Rs. x for 14 months, Rs. y for 8 months and Rs. z for 7 months respectively
Then, 14x : 8y : 7z = 5 : 7 : 8
Now, 14x/8x = 5/7
=> y = (49/20)x
14x/7z = 5/8
=> z = (16/5)x
=>x:y:z = x:(49/20)x:(16/5)x
= 20:49:64
2. Rs. 700 is divided among A, B, C so that A receives half as much as B and B half as much as C. Then C's share is
- Rs 200
- Rs 300
- Rs 400
- Rs 500
Answer: Option C
Explanation:
Let C = x.
Then B = x/2
and A = x/4
A:B:C = 1:2:4.
C's share Rs.[(4/7)*700) = 400
3. 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}
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. 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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