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**Practice Aptitude Questions (Partnership) Day-138**

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**Click here to view Quantitative Aptitude Questions in Hindi**

**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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