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- Question
A and B entered into a partnership investing Rs. 13,000 and Rs. 12,000 respectively.After 3 months, A withdrew Rs. 5000 while B invested Rs. 5000 more, After 3 more months, C joins the business with a capital of Rs. 21,000, The share of B exceeds that of C, out of a total profit of Rs. 26,400 after one year by
Options- A. 3500
- B. 3600
- C. 3700
- D. 3800
- Correct Answer
- 3600
ExplanationA : B : C = (16000 * 3 + 11000 * 9) : (12000 * 3 + 17000 * 9) : (21000 * 6)
= 147 : 189 : 126
= 7 : 9 ; 6.
Difference of B and C's shares = Rs. ( 26400 * 9/22 - 26400 * 6/22 ) = Rs. 3600.
- 1. K and L start the business, with L investing the total capital of Rs. 40,000 on the condition that K pays L interest @ 8% per annum on his half of the capital. L is a working partner and receives Rs.1200 per month from the total profit and any profit reamaining is equally shared by both of them. At the end of the year, it was found that the income of L is twice that of K. Find the total profit for the year ?
Options- A. Rs.44000
- B. Rs.46400
- C. Rs.480800
- D. Rs.46000 Discuss
- 2. Rohith started a business by investing Rs. 3600. After somedays, Puneeth joined him by investing Rs. 2400. At the end of one year, the profit was divided in the ratio 2 : 1. After how many months did Puneeth join the business?
Options- A. 2 months
- B. 2.5 months
- C. 3 months
- D. 3.5 months Discuss
- 3. Rs.1200 divided among P, Q and R. P gets half of the total amount received by Q and R. Q gets one-third of the total amount received by P and R. Find the amount received by R ?
Options- A. Rs. 1100
- B. Rs. 500
- C. Rs. 1200
- D. Rs. 700 Discuss
- 4. A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A ?
Options- A. Rs. 240
- B. Rs. 75
- C. Rs. 125
- D. Rs. 354 Discuss
- 5. A & B invest Rs. 1,16,000 & 1,44,000 respectively. B invests for 6 months. At the end of the year, B?s share is Rs. 9000, find the overall profit?
Options- A. Rs. 23,500
- B. Rs. 19,780
- C. Rs. 21,700
- D. Rs. 20,050 Discuss
- 6. A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares?
Options- A. 10000 and 15000
- B. 15000 and 10000
- C. 5000 and 20000
- D. 20000 and 5000 Discuss
- 7. Three friends had dinner at a restaurant. When the bill was received, Akshitha paid 2/3 as much as Veena paid and Veena paid 1/2 as much as Lasya paid. What fraction of the bill did Veena pay ?
Options- A. 11/3
- B. 2/13
- C. 3/11
- D. 13/4 Discuss
- 8. Three milkmen rented a pasture. A grazed 24 cows for 4 months; B 10 cows for 6 months; C 56 cows for 5 months. If A's share of rent is Rs. 960, find the total rent of the field?
Options- A. 4530
- B. 4440
- C. 4360
- D. 4280 Discuss
- 9. R enter into a partnership in the ratio 2 : 3 : 5 . After 2 months, P increases his share 20% and Q by 10%. If the total profit at the end of one year is Rs 1,90,500, what amount will 'R' receive at the end of year as share in profit ?
Options- A. Rs. 90500
- B. Rs. 87500
- C. Rs. 88900
- D. Rs. 90000 Discuss
- 10. Arun, Bharat and Chari started a business in a partnership with investment of Rs 12000, Rs 26000 and Rs 32000 respectively. After 4 months Arun leaves. After 6 months Bharat leaves and Arun joins with an amount equal to his earlier investment. After 10 months, Chari leaves and Bharat joins with his prior investment. At the end of the year they earn a profit of Rs 53622. Find the share of chari in the annual profit?
Options- A. 16547
- B. 17212
- C. 14875
- D. 27848 Discuss
Partnership problems
Search Results
Correct Answer: Rs.46400
Explanation:
Interest received by L from K = 8% of half of Rs.40,000
Amount received by L per annum for being a working partner = 1200 x 12 = Rs.14,400
Let 'A' be the part of remaing profit that 'L' receives as his share.
Total income of 'K' = only his share from the reamaing profit
= 'A', as both share equally.
Given income of L = Twice the income of K
--> (1600 + 14400 + A ) = 2A
--> A= Rs.16000
Thus total profit = 2A + Rs.14,400= 2(16000) + 14400
= 32000 +14400 = Rs.46,400.
Correct Answer: 3 months
Explanation:
Ratio of profit of Rohith and Puneeth = 3600 x 12 : 2400 x P
= 3600 x 12/2400P = 2/1
=> P = 9
So, Puneeth joined the business after (12 - P) = 12 - 9 = 3 months.
Correct Answer: Rs. 500
Explanation:
Let the amounts to be received by P, Q and R be p, q and r.
p + q + r = 1200
p = 1/2 (q + r) => 2p = q + r
Adding 'p' both sides, 3p = p + q + r = 1200
=> p = Rs.400
q = 1/3 (p + r) => 3q = p + r
Adding 'q' both sides, 4q = p + q + r = 1200
=> q = Rs.300
r = 1200 - (p + q) => r = Rs.500.
Correct Answer: Rs. 240
Explanation:
The ratio of A & B investments = (3x8 + 2x4):(4x8 + 5x4)
=> 8:13
=> 8/21 x 630 = 240.
Correct Answer: Rs. 23,500
Explanation:
Given A & B in partnership
A Invests 116000 for 12 months
=> A's share = 116000 x 12 = 13,92,000
B Invests for 6 months
=> B's share = 144000 x 6 = 8,64,000
Their Ratio = 1392 : 864 = 29 : 18
Let the Annual profit = P
Given B's share = Rs. 9000
=> 18/47 x P = 9000
=> P = 9000 x 47/18
=> P = 23,500
Hence, Overall profit = P = Rs. 23,500
Correct Answer: 10000 and 15000
Explanation:
As both A and B invest the same amounts, the ratio of their profits at the end of the year is equal to the ratio of the time periods for which they have invested.
Thus, the required ratio of their profits = A : B = 8 : 12 = 2 : 3.
Hence, share of A in the total profit = 2 x 25000/5 = Rs.10000
Similarly, share of B in the total profit = 3 x 25000/5 = Rs.15000
Correct Answer: 3/11
Explanation:
Let Veena paid x,
so Akshitha paid 2x/3 , and Lasya paid 2x,
So total bill paid is given by
x+(2x/3) +2x = 1, we get
i.e. x = 3/11
Correct Answer: 4360
Explanation:
Ratio of shares of A,B,C = (24 x 4) : (10 x 6) : (56 x 5)
= 96 : 60 : 280.
Let total rent be Rs. x. Then, A's share =
Hence total rent of the field is Rs. 4360.
Correct Answer: Rs. 90000
Explanation:
Ratio of investments for 1 year
=> (P : Q : R) = (2x2 + 2.4x10) : (3x2 + 3.3x10) : (5x12)
=> (P : Q : R) = 28 : 39 : 60
Now R share = 190500 x 60/127 = Rs. 90000.
Correct Answer: 27848
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