# Quantitative Aptitude: Partnership Set 13

1. A and B together started a business in the ratio of 4:5 resp. Find the total profit earned in the business in 3 years, if the difference between the profit earned by A and B is Rs.480 after 3 years.
Rs.4410
Rs.4320
Rs.4240
Rs.4320
Rs.4100
Option B
Profit share ratio of A:B = 4:5
Let the profit earned by A and B be Rs.4x and Rs.5x resp.
5x-4x = 480
=> x = 480
Required total profit earned = 9x = Rs.4320

2. A and B together starts a business with a total investment of Rs.14000. After a year, both increase their investment by 20% of their respective initial investment. If after 2 years, A earns a profit of Rs.4000 out of total profit of Rs.7000. Find the inital investment of A.
Rs.6000
Rs.5000
Rs.8000
Rs.7000
Rs.9000
Option C
Let the initial investment of A be x.
Then the initial investment of B will be Rs.(14000-x)
Total investment of A = x+1.2x = 2.2x
Total investment of B = 14000 – x +1.2*(14000-x) = Rs.(30800-2.2x)
Now, 2.2x/(30800-2.2x+2.2x) = 4000/7000
=> x = 8000
So, the initial investment of A = Rs.8000

3. A,B and C started a business with initial investments of Rs.3000, Rs.3200 and Rs.3500 resp. After one year, A,B and C made additional investments of Rs.(x+150), Rs.(x+300) and Rs.(x+250) resp. Find the profit share of B out of the total profit of Rs.4320 after two years.
Rs.1570
Rs.1440
Rs.1320
Rs.1520
Rs.1440
Option B
Respective ratio of the profits of A,B and C
= 3000+3000+x+150:3200+3200+x+300:3500+3500+x+250
= 6150+x:6700+x:7250+x
Profit share of B = (6700+x)/3*(20100+3x)*4320 = Rs.1440

4. A,B and C started a business with inital investments in the ratio 4:5:7 resp. After one year A,B and C made additional investments in the ratio 2:3:3 resp. Find the profit share of A out of Rs.4800 after two years.
Rs.1200
Rs.1400
Rs.1000
Rs.800
Rs.1600
Option A
Let initial investments of A,B and C are Rs.4x, Rs.5x and Rs.7x resp.
Let the additional investments of A,B and C are Rs.2y, Rs.3y and Rs.3y resp.
Ratio of their profits = 4x+4x+2y : 5x+5x+3y : 7x+7x+3y
Profit share of A = (8x+2y)/(32y+8y)*4800 = Rs.1200

5. A and B together started a business with investment of Rs.(x+300) and Rs.(2x+100) resp. After one year of starting the business, C joined him with investment of Rs.(x+800). At the end of two years, if C received Rs.3000 out of total profit of Rs.13500. Find the value of x.
700
600
500
600
800
Option E
Total investment of A = x+300+x+300 = Rs.(2x+600)
Total investment of B = 2x+100+2x+100 = Rs.(4x+200)
Total investment of C = Rs.(x+800)
Now, {(x+800)/(7x+1600)} = 3000/13500
=> x = 800

6. A and B together started a business with initial investments of Rs.1200 and Rs.1500 resp. After 6 months, A invested an additional investment equal to half his initial investments and B withdrew 20% of his investments. Find the profit share of A out of the total profit of Rs.7980 after one year.
Rs.3300
Rs.3500
Rs.3700
Rs.4200
Rs.4000
Option D
Additional investment of A after 6 months
= 1200/2 = Rs.600
Investment of A for the last 6 months = 1200 + 600 = Rs.1800
Investment of B for the last 6 months = 1500 – 0.20*1500 = Rs.1200
Ratio of investment of A: B = 1200*6+1800*6 : 1500*6+1200*6 = 10:9
Profit share of A = 7980*10/19 = Rs.4200

7. A and B together started a business with ratio of their investments as 5:4 resp. After 4 months, C joined with an investment which is 25% more than the investment of B. If after a year, they received a total profit of Rs.1110. Find the profit share of B.
Rs.280
Rs.360
Rs.320
Rs.300
Rs.220
Option B
Let the initial investment of A and B be Rs.5x and Rs.4x resp.
Initial investment of C = 4x*1.25 = Rs.5x
Ratio of profit share of A:B:C = (5x*12): (4x*12): (5x*8) = 15:12:10
Profit share of B = 12/(15+12+10)*1110 = Rs.360

8. A and B started a business in partnership with investment of Rs.2400 and Rs.3200 resp. After one year, A increased his investment by 15% while B decreased his investment by 20%. At the end of 2 years, they earned a profit of Rs.5460. Find the profit of A.
Rs.2790
Rs.2580
Rs.2550
Rs.2620
Rs.2200
Option B
Total investment of A = 2400+1.15*2400
= Rs.5160
Total investment of B = 3200+0.8*3200 = Rs.5760
Ratio of investment of A and B = 5160:5760 = 43:48
Profit of A = 43/91*5460 = Rs.2580

9. A and B together started a firm with an investment of Rs.30,000 and Rs.50,000 resp. After completion of one year, A increased his investment by 20% while B decreased his investment by 14%. If at the end of second year, total profit earned by them was Rs.47700. Find the share of B.
Rs.24400
Rs.22000
Rs.27900
Rs.26500
Rs.21300
Option C
Total investment of A = 30000+1.2*30000 = Rs.66000
Total investment of B = 50000+0.86*50000 = Rs.93000
Ratio = 22:31
Profit share of B = 31/53*47700 = Rs.27900

10. A and B started a business together with an investment of Rs.(1600+x) and Rs.(800+3x). After a year B received a profit of Rs.3200 out of total profit of Rs.5600. What is the initial investment of A?
Rs.1800
Rs.1400
Rs.1600
Rs.1000
Rs.1700
Option A
A:B = (1600+x): (1800+3x) (1600+x): (1800+3x)
= (5600-3200): 3200
=> x = 200
Investment of A = 1600+200 = Rs.1800