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- P, Q and R started a business with investments of Rs. 12000, Rs. 15000 and Rs. 18000 respectively. After 8 months from the start of the business, Q and R invested additional amounts in the ratio of 3: 5 respectively. If at the end of the year, the ratio of share of P and Q was 3: 4, then what was the additional amount invested by Q after 8 months?
- Rs. 1500
- Rs. 1800
- Rs. 2100
- Rs. 3000
- None of these
- A, B and C entered into a partnership by investing Rs. 30000, Rs. 25000 and Rs. 40000 respectively. After 4 months, A withdraws two-fifth of the amount and B invested Rs. 15000 more. And after 3 months C withdraws three-fifth of the amount. Find the total profit at the end of the year, if the share of B is Rs. 70000?
- Rs. 174000
- Rs. 188000
- Rs. 172000
- Rs. 164000
- None of these
- Karthi, Prakash and Vasanth enter into a Partnership with investment in the ratio of (3/2): (8/5): (5/3). After six months, Karthi increases his share by 40%. If the total profit at the end of the year be Rs. 136800, then what will be the share of Prakash in the profit?
- Rs. 41500
- Rs. 42800
- Rs. 43200
- Rs. 38900
- None of these
- P, Q and R invested in the ratio of 4: 7: 9. After 5 months, P invested Rs. 2500 more. And after 3 months, R withdraws Rs. 3000. Find the share of Q, if the total profit at the end of the year is Rs. 89500?
- Rs. 32500
- Rs. 29400
- Rs. 36800
- Rs. 34300
- None of these
- Rahul, Vinay and Prabhu started a business by investing in the ratio of 4: 7: 9. After 5 months, Rahul invested Rs. 15000 more and after 4 months, Vinay invested Rs. 10000 more. At the end of the year, their profits are in the ratio of 39: 58: 72. Find the initial investment of Vinay?
- Rs. 65000
- Rs. 72000
- Rs. 78000
- Rs. 70000
- None of these
- P, Q and R started a business by investing Rs. 27000, Rs. 35000 and Rs. 42000 respectively. After 6 months, P withdraws half of his investment but Q invested 20 % of initial investment more. Find the share of R, if the total profit at the end of the year is Rs. 84630?
- Rs. 31750
- Rs. 35280
- Rs. 33560
- Rs. 30270
- None of these
- A starts a business with a capital of Rs. 25000. B joins the business 5 months after the start of the business and C joins the business after 8 months. At the end of the year their respective shares is in ratio of 30: 21: 16. What is the sum of amount invested by B and C together?
- Rs. 70000
- Rs. 68000
- Rs. 74000
- Rs. 65000
- None of these
- Praveen and Raghav started a business by investing Rs. 24000 and Rs. 36000 respectively. Praveen is a working partner and Raghav is a sleeping partner in a business. Praveen receives 10 % of profits for managing the business. Find the share of Praveen, if the total profit at the end of the year is Rs. 50000?
- Rs. 24000
- Rs. 21000
- Rs. 23000
- Rs. 27000
- None of these
- Rajesh, Yuvaraj and Dhinesh started the business by investing in the ratio of 7: 5: 6. 20 % of the profit goes to charity; the remaining will be shared by three of them. The share of Yuvaraj is Rs. 30000. Find the total profit?
- Rs. 116000
- Rs. 135000
- Rs. 124000
- Rs. 142000
- None of these
- A starts a business with a capital of Rs. 15000. B joins the business after 6 months and C joins the business after 9 months. At the end of the year, their respective shares were in ratio of 8: 4: 3. What is the sum of amount invested in the business by B and C together?
- Rs. 37500
- Rs. 24000
- Rs. 28000
- Rs. 22000
- None of these
Answers:
1). Answer: d
Let the ratio additional amount of Q and R be 3x and 5x,
The ratio of profit of A: B: C
= [12000*12]: [15000*8 + (15000 + 3x) *4]: [18000*8 + (18000 + 5x) *4]
= 144000: (120000 + 60000 +12x): (144000+ 72000 + 20x)
The ratio of share of P and Q = 3: 4
144000/(180000+ 12x) = (3/4)
192000 = 180000 + 12x
12000 = 12x
x = 1000
Q’s additional investment after 8 months = 3x = 3*1000 = Rs. 3000
2). Answer: a
The share of A, B and C
= > [30000*4 + 30000*(3/5)*8]: [25000*4 + 40000*8]: [40000*7 + 40000*(2/5)*5]
= > 264000: 420000: 360000
= > 22: 35: 30
35’s = 70000
1’s = 2000
Total profit = 87’s = 87*2000 = Rs. 174000
3). Answer: c
The investment ratio = (3/2): (8/5): (5/3)
= > 45: 48: 50
The share of Karthi, Prakash and Vasanth
= > [45*6 + 45*(140/100)*6]: [48*12]: [50*12]
= > 648: 576: 600
= > 27: 24: 25
Total profit = Rs. 136800
76’s = 136800
1’s = 1800
The share of Prakash = 24’s = Rs. 43200
4). Answer: b
The share of P, Q and R,
= > [4x*5 + (4x + 2500)*7]: [7x*12]: [9x*8 + (9x – 3000)*4]
= > [20x + 28x + 17500]: 84x: [72x + 36x – 12000]
Total profit = 89500
20x + 28x + 17500 + 84x + 72x + 36x – 12000 = 89500
240x + 5500 = 89500
240x = 84000
X = 350
The share of Q = 84x = Rs. 29400
5). Answer: d
The share of Rahul, Vinay and Prabhu
[4x*5 + (4x + 15000)*7]: [7x*9 + (7x + 10000)*3]: [9x*12] = 39: 58: 72(20x + 28x + 105000]: [63x + 21x + 30000]: [108x] = 39: 58: 72
(48x + 105000): (84x + 30000): 108x = 39: 58: 72
(84x + 30000)/108x = (58/72)
84x + 30000 = 87x
3x = 30000
X = 10000
Initial investment of Vinay = 7x = Rs. 70000
6). Answer: b
The share of P, Q and R
= > [27000*6 + 13500*6]: [35000*6 + 35000*(120/100)*6]: [42000*12]
= > 243000: 462000: 504000
= > 81: 154: 168
403’s = 84630
1’s = 210
The share of R = 168’s = Rs. 35280
7). Answer: a
Let the initial investment of B and C be x and y,
Ratios of profits = >
[25000*12]: [7x]: [4y] = 30: 21: 1630’s = 25000*12
1’s = 10000
21’s = 210000
16’s = 160000
Capital of B
= > 7x = 210000
= > x = Rs. 30000
Capital of C
= > 4y = 160000
= > y = 160000/4 = Rs. 40000
Total Money invested by B and C = 30000 + 40000 = Rs. 70000
8). Answer: c
The share of Praveen and Raghav
= > 24000: 36000
= > 2: 3
Praveen receives 10 % of profits for managing the business.
= > 50000*(10/100) = 5000
Remaining = 50000 – 5000 = 45000
5’s = 45000
1’s = 9000
The share of Praveen = 5000 + 18000 = Rs. 23000
9). Answer: b
The ratio of investment of Rajesh, Yuvaraj and Dhinesh
= > 7: 5: 6
5’s = 30000
1’s = 6000
18’s = 108000
80 % of total profit = 108000
(80/100)*Total profit = 108000
Total profit = 108000*(100/80) = Rs. 135000
10). Answer: a
The share of A, B and C = [15000*12]: 6B: 3C = 8: 4: 3
Capital of B
(15000*12)/6B = 8/4
=>B = 15000
Capital of C
(15000*12)/3C = 8/3
=>C= 22500
Total Money invested = 15000 + 22500 = Rs. 37500
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