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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. 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)
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. Manoj received Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Ramesh earned at the end of one year. If Manoj invested Rs.120000 for 6 months, whereas Ramesh invested his amount for the whole year, what was the amount invested by Ramesh
- Rs. 2000
- Rs. 3000
- Rs. 4000
- Rs. 5000
Answer: Option D
Explanation:
Suppose Ramesh invested Rs. x. Then,
Manoj : Ramesh = 20000 * 6 : x * 12.
120000/12x : 6000/3000
=> x = 120000/24 = 5000
4. 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.
5. Anand and Deepak started a business investing Rs.22,500 and Rs.35,000 respectively. Out of a total profit of
Rs. 13,800. Deepak's share is
- Rs 9600
- Rs 8500
- Rs 8450
- Rs 8400
Answer: Option D
Explanation:
Ratio of their shares = 22500 : 35000
=9 : 14
Deepak's share = Rs.(13800×14/23)
= Rs. 8400
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