Partnership problems
- 1. A, B and C start a business. A invests 3 times as much as B invests and B invests two-third of what C invests. Then, the ratio of capitals of A, B and C is?
Options- A. 3 : 9 : 2
- B. 6 : 10 : 15
- C. 5 : 3 : 2
- D. 6 : 2 : 3 Discuss
Correct Answer: 6 : 2 : 3
Explanation:
Suppose C invests Rs. x then, B invests Rs. 2x/3 and A invests Rs. 2x
? Ratio of investment of A, B, C = 2x : (2x/3) : x = 6 : 2 : 3
- 2. A sum of money is to be divided among A, B and C in the ratio 2 : 3 : 7. If the total share of A and B together is Rs. 1500 less than C. What is A's share in it?
Options- A. Rs. 1000
- B. Rs. 1500
- C. Rs. 2000
- D. Date inadequate Discuss
Correct Answer: Rs. 1500
Explanation:
? 7x - (2x + 3x) = Rs. 1500
&rArr x = Rs. 750
? Share of A = 2x = Rs. 1500
- 3. Three Hikers A, B and C start on a trip with Rs. 50 each and agree to share the expenses equally. If at the end of the trip. A has Rs. 20 left with him, B Rs.30 and C Rs. 40 how must they settle their accounts?
Options- A. C must pay Rs. 10 to A
- B. A must pay Rs. 10 to B
- C. A must pay Rs. 10 to C
- D. Can't be settled Discuss
Correct Answer: C must pay Rs. 10 to A
Explanation:
All should have equal amount of money at the end of trip. So C must pay Rs. 10 to A
- 4. Ravi and Kavi start a business by investing ? 8000 and ? 72000, respectively. Find the ratio of their profits at the end of year.
Options- A. 2 : 9
- B. 5 : 9
- C. 7 : 9
- D. 1 : 9 Discuss
Correct Answer: 1 : 9
Explanation:
Ratio of profit = Ratio of investments
= 8000 : 72000 = 1 : 9
- 5. P starts a business with ? 300000 and Q join him after 3 months with ? 1200000. Find the ratio of their profits at the end of the year .
Options- A. 2 : 5
- B. 3 : 5
- C. 5 : 1
- D. 1 : 3 Discuss
Correct Answer: 1 : 3
Explanation:
P's share : Q's share = (300000 x 12) : (1200000 x 9)
= 36 : 108 = 1 : 3
- 6. Ram, Shyam and Kamal together start a business in partnership. The ratio of their capitals is 3 : 4 : 7. If their annual profit be ? 21000, what will be Kamal's share in this profit?
Options- A. ? 12500
- B. ? 10500
- C. ? 15000
- D. ? 10000 Discuss
Correct Answer: ? 10500
Explanation:
Given ratio of profits of Ram, Shyam and Kamal = Ratio of their capitals
= 3 : 4 : 7
Kamal's share = [7/(3 + 4 + 7)] x 21000
= 7 x 1500 = ? 10500
- 7. Rakesh, Dinesh and Mahesh start a business by investing ? 5000 , ? 8000 and ? 12000 , respectively . At the end of year, they got the profit of ? 12500. What is the share of Dinesh in profit?
Options- A. ? 4000
- B. ? 4500
- C. ? 6000
- D. ? 7500 Discuss
Correct Answer: ? 4000
Explanation:
Share of Rakesh : Share of Dinesh : Share of Mahesh
= 5000 : 8000 : 12000 = 5 : 8 : 12
Total earned profit = ? 12500
? Share of Dinesh in profit
= [8/(5 + 8 + 12)] x 12500 = (8/25) x 12500
= 8 x 500 = ? 4000
- 8. Reena, Reema and Meera take a car on rent and they use that car for 14 h, 16 h and 22 h, respectively. What amount will be paid by Meera, if total rent of the car is ? 2080?
Options- A. ? 880
- B. ? 1280
- C. ? 1040
- D. ? 960 Discuss
Correct Answer: ? 880
Explanation:
Reena's share : Reema's share : Meera's share
Ratio of time period for which the car was used
= 14 : 16 : 22 = 7 : 8 : 11
Amount paid by Meera = [11/ (7+8+11)] x 2080 = (11/26) x 2080
= 11 x 80 = ? 880
- 9. Pinku, Rinku and Tinku divide an amount of ? 4200 amongst themselves in the ratio of 7 : 8 : 6, respectively. If an amount of ? 200 is added to each of their shares, what will be the new respective ratio of their shares of amount?
Options- A. 8 : 9 : 5
- B. 7 : 9 : 5
- C. 7 : 8 : 6
- D. 8 : 9 : 7 Discuss
Correct Answer: 8 : 9 : 7
Explanation:
Let pinku's share = 7N
Rinku's share = 8N
Tinku's share = 6N
According to the question,
7N + 8N + 6N = 4200
? 21N = 4200
? N = 4200/21 = 200
Hence. amount of Pinku = 7N = 7 x 200 = ? 1400
Amount of Rinku = 8N = 8 x 200 = ? 1600
Amount of Tinku = 6N = 6 x 200 = ? 1200
Now. ? 200 is added to each share
Then,
New ratio of shares
= (1400 + 200) : (1600 + 200) : (1200 + 200)
= 1600 : 1800 : 1400
= 16 : 18 : 14 = 8 : 9 : 7
- 10. P, Q and R start a business. P invests 3 times as much as Q invests and Q invests 2/3rd as much as R invests. Find the ratio of capitals of P, Q and R?
Options- A. 3 : 2 : 6
- B. 2 : 6 : 3
- C. 6 : 2 : 3
- D. 5 : 2 : 3 Discuss
Correct Answer: 6 : 2 : 3
Explanation:
Let investment of R = N
Then, investment of Q = 2N/3
and investment of P = 2N
? Ratio of capitals of P, Q and R = 2N : (2N/3) : N
= 6N : 2N : 3N = 6 : 2 : 3
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