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Partnership Questions

Home > Quantitative Aptitude > Partnership > General Questions
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Choose the correct option.

Anirudh, Harish and Sahil invested a total of Rs.1,35,000 in the ratio 5:6:4 Anirudh invested has capital for 8 months. Harish invested for 6 months and Sahil invested for 4 months. If they earn a profit of Rs.75,900,then what is the share of Sahil in the profit?


ARs. 12400

BRs. 14700

CRs.13200

DRs. 15800

Answer: Option C

Explanation:

Anirudh invest for 8 months,haris invested for 6 and
sahil for 4 months in the ratio of 5:6:4

so ratio = 5*8 : 6*6 : 4*4
=> 40:36:16
=> 10:9:4

So sahil's profit=(4/23)*75900 = 13200

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Choose the correct option.

Ajay, Vijay and Sanjay rent a pasture. Ajay puts 10 oxen for 7 months, Vijay puts 12 oxen for 5 months and Sanjay puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must Sanjay pay as his share of rent?


ARs 45

BRs 50

CRs 40

DRs 65

Answer: Option A

Explanation:

Ajay : Vijay : Sanjay = 10 * 7 : 12 * 5 : 15 * 3
= 70 : 60 : 45 = 14 : 12 : 9.
So Sanjay's rent = Rs. (175 * 9/35) = Rs. 45.

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X and Y started a business together. If X invested Rs. 16,000 for 8 months and Y invested some amount in the business for 4 months. If Y claims 2/7 of the total profit earned. How much money was invested by Y?


ARs. 10500

BRs. 11900

CRs. 12800

DRs. 13600

Answer: Option C

Explanation:

Lets assume the total profit = Rs. T
so Y part = 2*T/7 and
X part = T - 2*T/7 = 5*T/7
X, Y ratio
=> X : Y = 5*T/7 : 2*T/7 = 5 : 2
Y invested Rs.P

so (16000 * 8) / (P * 4) = 5/2
=> P = (16000 * 8 * 2) /(5 * 4)
=> P = Rs. 12800

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Choose the correct option.

Three partners A, B, C start a business. Twice A's capital is equal to thrice B's capital and B's capital is four times C's capital. Out of a total profit of Rs. 16,500 at the end of the year, B's share is:


A5000

B6000

C4000

D5500

Answer: Option B

Explanation:

Let C capital = x. so B capital = 4x

2 *(A capital) = 3 * 4x
=> A's capital = 6x
So A : B : C = 6x : 4x : x = 6 : 4 : 1

So, B's capital = Rs. [16500 * 4/11] = Rs. 6000.

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Choose the correct option.

A person P started a business with a capital of Rs. 2,525 and another person Q joined P after some months with a capital of Rs. 1,200. Out of the total annual profit of Rs. 1,644, P's share was Rs. 1,212. When did Q join as partner?


AAfter 2 months

BAfter 4 months

CAfter 6 months

DAfter 3 months

Answer: Option B

Explanation:

Given P's capital = Rs. 2525, Profit of P = Rs. 1212 & Total Profit = Rs. 1644
So Profit of Q = (Rs. 1644 - Rs. 1212) = Rs. 432
Profit ratio (p's profit : q's profit) = 1212 : 432 = 101 : 36
Let's assume Q join after "x" months of the start of the business .

So that he remained in partnership for (12 - x) months.

(12 * 2525)/(12 - x)1200 = 101/36
=> (12 - x) = 9 => x = 3

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A, B and C enter into a partnership and their shares are in the ratio 1/2 : 1/3 : 1/4. After 2 months, A withdraws half of his capital and after 10 months, a profit of Rs. 378 is divided among them. What is B's share ?


A144

B169

C225

D339

Answer: Option A

Explanation:

Ratio of their initial investments = (1/2 : 1/3 : 1/4) = 6 : 4 : 3.

Let their initial investments be 6x, 2x and 3x respectively.

A:B:C = (6x*2 + 3x*10):(4x*12):(3x*12)
= 42:48:36 = 7:8:6

So B's share = Rs.(378*8/21) = Rs.144

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Choose the correct option.

Rs.432 is divided amongst three workers A, B and C such that 8 times A's share is equal to 12 times B's share which is equal to 6 times C's share. How much did A get?


ARs. 134.

BRs. 140.

CRs. 144.

DRs. 212.

Answer: Option C

Explanation:

8 times A's share = 12 times B's share = 6 times C's share.
Note that this is not the same as the ratio of their wages being 8 : 12 : 6

In this case, find out the L.C.M of 8, 12 and 6 and divide the L.C.M by each of the above
numbers to get the ratio of their respective shares.

The L.C.M of 8, 12 and 6 is 24.
Therefore, the ratio A:B:C :: 24/8 : 24/12 : 24/6
=> A : B : C :: 3 : 2 : 4

The sum of the total wages = 3x + 2x + 4x = 432 => 9x = 432 or x = 48.
Hence A gets 3 * 48 = Rs. 144.

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If Rs 510 be divided among A, B, C in such a way that A gets 2/3 of what B gets and B gets 1/4 of what C gets, then their shares are respectively:


ARs 65, Rs 90, Rs 360

BRs 150, Rs 300, Rs 60

CRs 60, Rs 90, Rs 300

DRs 60, Rs 90, Rs 360

Answer: Option D

Explanation:

A per the question:
A = 2/3 B and B = 1/4 C
=> A/B = 2/3 and B/C = 1/4
Or A:B = 2:3 and B:C = 1:4 = 3:12
=> A:B:C = 2:3:12
So, A's share = 510 * 2/17 = Rs 60
B's share = 510 * 3/17 = Rs 90
C's share = 510 * 12/17 = Rs 360.

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Choose the correct option.

A, B and C started a business with capitals of Rs 8000, Rs 10000 and Rs 12000 respectively. At the end of the year, the profit share of B is Rs 1500. The difference between the profit shares of A and C is?


ARs. 400

BRs. 600

CRs. 450

DRs 700

Answer: Option B

Explanation:

As per the question:
Ratio of investments of A, B and C is 8000 : 10000 : 12000 = 4 : 5 : 6
Given, profit share of B = Rs. 1500
5 parts out of 15 parts = Rs. 1500
Difference between the profit share of (A,C) = 6 - 4 = 2 parts
So, required difference = 2/5 *(1500) = Rs 600

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Choose the correct option.

Anil and suresh started a business with Rs.50,000 and 40,000 respectively. After 6 months Rakesh joined them with capital of Rs.60,000 They got a profit of Rs.6000, then profit of Rakesh is


ARs. 1500

BRs. 3000

CRs. 2000

DRs. 1000

Answer: Option A

Explanation:

anil : suresh : Rakesh = 50,000*12 : 40,000*12 : 60,000*6 = 5:4:3
Given, total profit = Rs. 6,000
so, rakesh's share of profit = (3/12)*6000 = Rs. 1500

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