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

     


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