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Question Detail
A, B and C invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. A left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of B?
- Rs 690
- Rs 790
- Rs 890
- Rs 990
Answer: Option C
Explanation:
A:B:C = (8000*6):(4000*8):(8000*8)
= 48:32:64
= 3:2:4
So B share = (2/9)*4005 = Rs 890
1. 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
2. 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}
3. 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
4. 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}
5. 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
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