# Quantitative Aptitude: Partnership Set 11

1. A starts business with Rs. 4000 and after 3 months, B joins with A as his partner. After a year, the profit is divided in the ratio 16:15. What is B’s contribution in the capital?
Rs5000
Rs4500
Rs5500
Rs4000
None
Option A
Solution:
Let B contribution is x.
(4000 * 12) /9x=16/15
x=Rs5000.
2. A, B and C enter into a partnership. A invests some amount at the beginning. B invests double the amount after 6 months and C invests thrice the amount invested by A after 8 months. They earn a profit of Rs. 36000 at the end of the year. What is B’s share in the profit?
Rs15000
Rs14500
Rs12000
Rs13000
None
Option C
Solution:
Let the amount invested by A is x.
Then ratio x*12 : 2x*6 :3x*4
=12x:12x:12x
=1:1:1.
3—–36000
1—-?==> Rs12000.
3. A, B, C rent a pasture. A puts 15 oxen for 6 months, B puts 12 oxen for 5 months and C puts 10 oxen for 8 months for grazing. If the rent of the pasture is Rs. 345, how much must B pay as his share of rent?
Rs130
Rs125
Rs160
Rs90
None
Option D
Solution:
A : B : C = 15 * 6 : 12 * 5 : 10 * 8
= 9:6:8.
Then
23—-345
6—–? ==> Rs90.
4. A, B and C started a business with their investment in the ratio 1 : 3 : 5. After 4 months, A invested the same amount as before and B as well as C withdrew half of their investments. The ratio of their profits at the end of the year was
3:5:9
5:6:10
5:8:11
8:6:9
None
Option B
Solution:
Ratio (x*4 +2x*8) : (3x*4 +3x/2*8) : (5x*4 +5x/2*8)
=(4x+16x) : (12x+12x) : (20x+20x)
=20x : 24x: 40x
=5:6:10.
5. In a business, A and C invested amounts in the ratio 1 : 2 , whereas the ratio between amounts invested by A and B was 2 : 3 . If Rs 171000 was their profit, how much amount did C receive?
Rs76000
Rs65000
Rs82000
Rs70000
None
Option A
Solution:
A:C=1:2
A:B=2:3
Then A:B:C=2:3:4.
9—–171000
4——? ==> Rs76000.
6. X, Y and Z were sharing profits in the ratio 4 : 3 : 2. Y retired from the firm and X and Z decide to share profits in the ratio 3 : 2. Calculate the gaining ratio.
7:8
6:5
7:5
6:8
None
Option A
Solution:
Ratio (3/5 – 4/9) : (2/5 – 2/9)
=(27-20)/45 : (18-10)/45
=7:8.
7. Thomas and Mosses enters into a partnership with their capitals in the ratio 10 :7. At the end of 7 months, Thomas withdraws his capital. If they receive their shares profits in the ratio 2 : 1, find out how long Mosses’s capital was invested in the business?
8 months
6 months
5 months
9 months
None
Option C
Solution:
Ratio 10x*7 : 7x*y =2:1
(10x*7x)/(7x*y) =2/1
y=5 month.
8. A, B and C enter into a partnership in the ratio 5/2 : 4/3 : 8/5 . After 4 months, A increases his share 20%. If the total profit at the end of one year be Rs. 15,570, then B’s share in the profit is:
Rs4300
Rs4900
Rs5300
Rs3600
None
Option D
Solution:
Ratio of the investment initially 5/2 : 4/3: 8/5
=75:40:48
Then New ratio
=(75*4 + 120% of 75 *8 ) : 40*12 : 48*12
=1020: 40*12 : 48*12
=255: 120: 144
519—-15570
120—–? ==> Rs3600.
9. Three men A, B and C start a business together. They invest Rs. 20000, Rs. 24000 and Rs. 30000, respectively in the beginning. After 5 months, B took out Rs. 4000 and C took out of Rs. 10000. They get a profit of Rs. 15180 at the end of the year. B’s share in the profit is
Rs4650
Rs5720
Rs4820
Rs5260
None
Option B
Solution:
Ratio (20000*12) : (24000*5 + 20000*7) : (30000*5 + 20000*7)
20000*12 : 260000 : 290000
24: 26 : 29.
69——15180
26——? ==> Rs5720.
10. A and B are partners in a business. A contributes 2/3of the capital for 15 months and B received 2/7 of the profit. Find for how long B’s money was invested in the business?
10months
12months
8months
14months
None
Option B
Solution:
A’s investment =2/3*15
Then B’s investment=1/3 *x.
B’s profit=2/7
Then A’s profit 5/7
Profit ratio 5:2.
(2/3* 15) / (1/3*x) = 5/2
x=12month.