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Aptitude Partnership Practice Q&A-Easy

2733.Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simrans share in the profit?
Rs. 9,423
Rs. 10,250
Rs. 12,500
Rs. 10,500
Explanation:

Simran : Nanda = $\left(50000 \times 36\right)$ : $\left(80000 \times 30\right)$ = 3 : 4.

Simran's share = Rs.$\left(24500\times\dfrac{3}{7}\right)$ = Rs. 10,500
2735.Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs.. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?
7 : 6 : 10
12 : 15 : 16
42 : 45 : 56
Cannot be determined
Explanation:

Aman : Rakhi : Sagar =$ \left (70,000 \times 36\right)$ :$ \left (1,05,000 \times 30\right)$ : $ \left(1,40,000 \times 24\right) $= 12 : 15 : 16.

2737.P, Q, R enter into a partnership. P initially invests 25 lakh and adds another 10 lakh after one year. Q initially invests 35 lakh and withdraws 10 lakh after 2 years. Rs investment is Rs 30 lakh. In what ratio should the profit be divided at the end of 3 years?
18:19:19
18:18:19
19:19:18
18:19:18
Explanation:

P : Q : R

$=\left(25\times1+35\times2\right)$:$\left(35\times2+25\times1\right)$ $:(30×3)$

$=95:95:90=19:19:18$

2742.A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?
4 months
5 months
6 months
8 months
Explanation:

Suppose B joined for $ x $ months. Then,

Then,$ \left(\dfrac{85000 \times 12}{42500 \times x} =\dfrac{3}{1} \right) $

$\Rightarrow x $ =$ \left(\dfrac{85000 \times 12}{42500 \times 3} \right) $= 8.

So, B joined for 8 months.

2749.A starts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is Bs contribution in the capital?
Rs. 7500
Rs. 8000
Rs. 8500
Rs. 9000
Explanation:

Let Bs capital be Rs. $ x $.

Then,$ \left(\dfrac{3500 \times 12}{7x} =\dfrac{2}{3} \right) $

$\Rightarrow$ 14$ x $ = 126000

$\Rightarrow x $ = 9000.

44222.A and B starts a business investing Rs.85000 and Rs.15000 respectively. Find out the ratio in which the profits should be shared.
10 : 3
17 : 3
3:5
3 : 17
Explanation:

Here A's and B's capitals are there for equal time. Hence

A : B = 85000 : 15000

= 85 : 15

= 17 : 3

44223.A starts a business with a capital of Rs. 85,000. B joins in the business with Rs.42500 after some time. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?
5 months
6 months
7 months
8 months
Explanation:

Let B joined for X months. Then

85000×12:42500×X=3:1

850×12:425X=3:1

850×12×1=3×425X

850×4=425X

X=8

44224.A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?
Rs.3750
Rs.3000
Rs.3050
Rs.3700
Explanation:

=6000*5:3600*6:7500*3

=60*5 : 36*6 : 75*3

=100: 72: 75

So there are 100 + 72 + 75 = 247 parts of profit.

Out of these 247 parts, A will get 100 parts, B will get 72 parts and C will get 75 parts.

Total profit = 7410

Share of A=$\dfrac{100}{247}\times 7410 $= 3000

44225.A is a working partner and B is a sleeping partner in the business. A puts in Rs.15000 and B Rs.25000, A receives 10% of the profit for managing the business the rest being divided in proportion of their capitals. Out of a total profit of Rs.9600, money received by A is?
Rs.4200
Rs.3200
Rs.2200
Rs.5200
Explanation:

A's investment:B's investment

15000:25000

15:25

3:5

So there are 3+5 = 8 parts of profit.

Total Profit=9600

A receives 10% of the profit

9600*10/100 = 960

Total Profit-A's 10% profit

9600 - 960 = 8640

So,

A's Share

=8640*3/8

= 3240

Therefore Total Amout Received by A is

= 3240 + 960

= 4200

44242.A,B and C enter into a partnership investing Rs 35000, Rs 45000 and 55000. Find the their respective shares in annual profit of 40,500
10500, 13500, 19500
10500, 13500, 18500
10500, 13500, 17500
10500, 13500, 16500
Explanation:

A:B:C = 35000:45000:55000 = 7:9:11

A's share = (7/27) *40500 = Rs 10500

B's share = (9/27) *40500 = Rs 13500

C's share = (11/27)*40500 = Rs 16500

44243.Rs. 700 is divided among A, B, C so that A receives half as much as B and B half as much as C. Then C's share is
200
300
400
500
Explanation:

Let C = x.

Then B = x/2

and A = x/4

A:B:C = 1:2:4

C's share Rs.[(4/7)*700) = 400

44244.Anand and Deepak started a business investing Rs.22,500 and Rs.35,000 respectively. Out of a total profit ofRs. 13,800. Deepak's share is
Rs 8400
Rs 4400
Rs 5400
Rs 5500
Explanation:

Ratio of their shares

= 22500 : 35000

=9 : 14

Deepak's share

= Rs.(13800×14/23)

= Rs. 8400

44245.A, B and C invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. A left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of B?
Rs 690
Rs 790
Rs 890
Rs 990
Explanation:

A:B:C = (8000*6):(4000*8):(8000*8)

= 48:32:64

= 3:2:4

So B share = (2/9)*4005 = Rs 890

44246.Yogesh started a business investing Rs. 45000. After 3 months, Pranab joined him with a capital of Rs. 60000. After another 6 months, Atul joined them with a capital of Rs. 90000. At the end of the year, they made a profit of Rs. 20000. What would be Atuls share in it?
Rs 4000
Rs 5000
Rs 6000
Rs 7000
Explanation:

Yogesh:Pranab:Atul = 45000*12:60000*9:90000*3

= 2:2:1

Atul's share = Rs. 20000 * (1/5) = Rs. 4000

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