# Quantitative Aptitude: Partnership Set 24

1. A started a business by investing rs.45000. After 6 months B joined business with rs.35000 and profit of the business at the end of the year is rs. 17500. What is profit share of B ?
4800
5250
4900
12000
8500
Option C
Profit sharing ratio of A and B = (45000 * 12) : (35000 * 6 ) = 18 : 17
total profit = 17500
profit of B = 17500 * 7/25 = 4900

2. Three friends A , B and C started a business by investing capital in the ratio of 3 : 4 : 6 for time period of 2 : 5 : 6. What is their profit sharing ratio ?
5 : 4 : 3
2 : 3 : 4
3 : 10 : 8
3 : 4 : 8
10 : 5 : 18
Option C
Let capital invested A , B and C are 3x and 4x and 6x respectively
Profit sharing ratio = (3x * 2) : (4x * 5) : (6x * 6 )
= 6x : 20x : 36x = 3 : 10 : 18 = 3: 10 : 18

3. A , B and C enters into a partnership with a total capital of rs.17400. Capital of C is rs.1400 less than capital of A and capital of C rs.200 more than the capital of B. If at the end of the year total profit of the business is rs.3480, then find difference between profit share A and B ?
540
380
340
320
400
Option D
Let capital of A = x
capital of C = x – 1400
capital of B = x – 1400 – 200 = x – 1600
x + x – 1400 + x – 1600 = 17400
3x = 20400
x = 6800
capital of A = 6800
capital of B = 6800 – 1600 = 5200
capital of C = 6800 – 1400 = 5400
ratio = 6800 : 5200 : 5400 = 34 : 26 : 27
difference = 3480 * 8/87 = 320

4. A and B entered into a partnership business by investing rs.8000 and rs.5000 for x months and (x + 2) months respectively. Total profit of the business at the end of the year is rs.3300 and profit share of A is 300 more than profit share of B. Find for how many months A invested capital ?
8 months
5 months
2 months
9 months
6 months
Option E
Investment ratio of A and B = 8000 : 5000 = 8 : 5
profit sharing ratio of A and B = 8 * x : 5 ( x + 2) = 8x : 5x + 10
8x – (5x + 10)/13x + 10 = 300/3300
3x – 10 /13x + 10 = 1/11
33x – 110 = 13x + 10
20x = 120
x = 6
A invested his capital for 6 months

5. Ram , Shiva and Hari started a business with capital in the ratio of 8 : 6 : 5. After 8 months Ram withdrawal 25% of capital while Hari increased 20% of his investment . If at the end of the year total profit of business is rs. 14000, then what is the the profit share of Hari ?
6000
4000
8000
12000
7000
Option B
Let amount invested by Ram , Shiva and Hari = 8x , 6x and 5x
profit sharing ratio of Ram , Shiva and Hari = (8x * 8 + 6x * 4) : (6x * 12) : (5x * 8 + 6x * 4)
= 88x : 72x : 64x
= 11 : 9 : 8
total profit = 14000
profit share of Hari = 14000 * 8/28 = 4000

6. A started a business with some amount and after 4 months B joined business with rs.2400. If profit of A at the end of the year is rs.2800 out of the total profit of rs. 4200, then find how much amount invested by A ?
43000
24000
34000
25000
32000
Option E
Let A invested rs.x
profit sharing ratio of A and B = (x * 12) : (24000 * 8) = x : 16000
profit share of A = 2800
x / x + 16000 = 2800/4200
3x = 2x + 32000
x = 32000

7. A and B started a business with capital of rs.8000 and trs.6000 respectively. After 1 1/2 years B left the business while another person C joined the business with capital of rs. 7000. If at the end of the 2 years profit share of C is rs.560 , then what is total profit of the business ?
4820
3240
1350
4560
2480
Option D
Profit sharing ratio of A , B and C = (8000 * 2) : (6000 * 1.5) : (7000 * .5) = 32 : 18 : 7
total profit of the business = 560/7 * 57 = 4560

8. Amit and Suraj invested rs. 4000 and rs. 6000 for 8 months and 7 months respectively. Total profit of the business is rs.3330. If they donate 20% of profit to charity fund, after that they distribute profit in their investment ratio, then what is profit share of Suraj ?
1720
1240
1512
1420
1250
Option C
Profit sharing ratio of Amit and Suraj = (4000 * 8) : (6000 * 7) = 32 : 42 = 16 : 21
total profit = 3330
They donate to fund = 3330 * 20/100 = 666
remaining profit = 3330 – 666 = 2664
profit share of Suraj = 2664 * 21/37 = 1512

9. A and B started a business with capital of rs.4800 and rs.6000 for 2 years and 1.5 years respectively. Profit share of A how much percent more or less than B ?
8%
6 2/3%
8 1/5%
4%
8.5%
Option B
Profit sharing ratio of A and B = (4800 * 2) : (6000 * 1.5) = 16 : 15
percentage more = 1/15 * 100 = 6 2/3%

10. M and N two friends started a partnership business by investing rs.8500 and rs.7000 respectively. M invested his capital for 8 months and N invested for 7 months. If profit of M is rs.760 more than profit of N, then what is profit share of M ?
2540
3630
4500
2720
1840
Option D
Profit sharing ratio of M and N = (8500 * 8) : (7000 * 7)
= 68 : 49
profit share of M = 760/68 – 49 * 68 = 2720