# Quantitative Aptitude: Partnership Set 14

1. Rs.1200 is divided among A,B,C so that A receives half so much as B and B half as much as C. What is B’s share.
Rs.330
Rs.310
Rs.325
Rs.343
Rs.300
Option D
Let C = x
x: 2X : 4X = 1:2 :4
B =1200*2/7 = 342.8 = Rs.343

2. Alok received Rs.8000 as his share out of the total profit of Rs.12000 which he and Sahil earned at the end of one year. If Alok invested Rs.20,000 for 6 months, whereas Sahil invested his amount for the whole year , what was the amount invested by Sahil ?
Rs. 2,000
Rs. 1,000
Rs. 3,000
Rs. 4,000
Rs. 5,000
Option E
Ratio = 8000:4000 = 2:1
20000*6 : x*12 = 2:1
20000:2x = 2:1
20000/2x =2/1
2x = 20000*1/2
=>x = Rs. 5,000

3. A invested Rs 60000 in a business. After few months, B joined him with Rs 24000. The total profit was divided between them in the ratio 3 : 1 at the end of the year. After how many months did B join?
5 months
6 months
4 months
2 months
3 months
Option D
A : B
60*12 : 24x = 3:1
60*12/24x = 3/1 = 3
x = 60*12/24*3
= 60*4/24 = 10
12 – 10 = 2
After 2 months B joined.

4. A and B are partners in a business. A invests Rs.35,000 for 6months and B invests Rs.40,000 for 8 months. Out of a profit of Rs.28,750. What is the A’s share.
Rs.11000
Rs.11392
Rs.10238
Rs.12170
Rs.12783
Option B
Ratio = 35,000*6 : 40000*8
2100:3200
21:32
A’s share = 21*28750/53 = 11391.5 = Rs.11392

5. Raman and Rakhi entered into a partnership investing Rs.10000 and Rs.8000 rep. After 3 months Rina joined them with an investment of Rs.12000. What is the share of Rakhi in a half yearly profit of Rs.7200 ?
Rs.2300
Rs.2700
Rs.2400
Rs.1900
Rs.2000
Option C
Ratio of their investment =
10000*6 : 8000*6 : 12000*3
10*6 : 8*6 : 12*3
60 :48 :36
5 : 4 : 3
Rakhi profit = 7200*4/12 = Rs.2400

6. A, B, C subscribe Rs. 60,000 for a business, A subscribes Rs.8000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 40,000, A receives how much.
Rs.18,000
Rs.16,000
Rs.12,000
Rs.10,000
Rs.14,000
Option A
Let C = x then B = x + 5000 and A = x + 5000 + 8000 = x + 13000.
x + x + 5000 + x + 13000 = 60000
=> 3x = 42000
=>x = 14000
A : B : C = 27000 : 19000 : 14000 = 27 : 19 : 14
A’s share = Rs. (40000 * 27/60 ) = Rs.18,000

7. Three partners started a business. Twice the investment of A is equal to thrice the capital of B and capital of B is four times the capital of C. Find the share of B out of profit of Rs.309100.
Rs.101500
Rs.110350
Rs.128900
Rs.103990
Rs.112400
Option E
C=x, B=4x
2(A’s capital)= 3(B’s capital)= 3*4x
A’s capital= (3*4x /2) = 6x
Ratio: 6:4:1
B’s share= 4/11 * 309100 = Rs.112400

8. A,B and C shared the profit in a business in the ratio 5:7:8 and partnered for 14 months, 8 months and 7 months. Find the ratio of their investments.
20:41:65
10:43:64
20:49:64
21:40:63
23:49:61
Option C
Rs. x for 14 months, Rs. y for 8 months and Rs. z for 7 months
14x : 8y : 7z = 5 : 7 : 8
14x/8y = 5/7
y = (49/20)x
14x/7z = 5/8
z = (16/5)x
x:y:z = x:(49/20)x:(16/5)x
20:49:64

9. A,B and C jointly engaged in a business. It was agreed that A would invest Rs. 6500 for 6months, B Rs.8400 for 5 months and C Rs.10000 for 3months. A wants to be a working partner and he was to receive 5% of the profits. The profit earned was Rs.7400. Calculate share of C.
Rs.1600
Rs.1500
Rs.1800
Rs.1900
Rs.1700
Option D
A received 5% of the profits i.e. 5% of 7400 = Rs.370
Remaining = 7400-370 = Rs.7030
Ratio of investments = 6500*6 : 8400*5 : 10000*3
Ratio= 13:14:10
Share of C= (10/37)*7030 = Rs.1900

10. P and Q started a partnership business investing some amount in the ratio of 3:5. R joined them after six months with an amount equal to that of Q. In what proportion should the profit at the end of one year be distributed among P, Q and R?
6 : 13 : 7
4 : 10 : 9
6 : 10 : 5
3 : 11 : 5
6 : 10 : 7
Option C
Let the initial investments of P and Q be 3x amd 5x.
P : Q : R = (3x * 12) : (5x * 12) : (5x * 6) = 36 : 60 : 30 = 6 : 10 : 5