Arithmetic Aptitude :: Partnership

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Choose the correct option.

A, B, C are partners in a business. During a particular year. A received one third of the profit. B received one fourth of the profit and C received the remaining Rs. 5000. How much amount of money did A receive?


ARs. 1000

BRs. 3000

CRs. 4000

DRs. 5000

Answer: Option C

Explanation:

Lets assume Total profit x
x * (1-1/3-1/4) = 5000
=> x*(12-4-3)/12 = 5000
x = 5000*12/5 = Rs. 12000
so A's share = Rs. (1/3*12000) = Rs. 4000

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A man owns 2/3 of the market research beauro business and sells 3/4 of his shares for Rs. 75000. What is the value of Business.


A15000

B140000

C150000

D100000

Answer: Option C

Explanation:

3/4 of his share = 75000
so his share = 100000.
2/3 of business value = 100000
so total value = 150000

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From its total income, A sales company spent Rs.20,000 for advertising, half of the remainder on commissions and had Rs.6000 left. What was its total income?


A32000

B16000

C36000

D40000

Answer: Option A

Explanation:

Let total income is X
X=20,000+(X-20,000/2)+6000
X-X/2=20,000-10,000+6000
X/2=16,000
X=32,000

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Nirmal and Kapil started a business investing Rs. 9000 and Rs. 12000 respectively. After 6 months, Kapil withdrew half of his investment. If after a year, the total profit was Rs. 4600, what was Kapil's share initially ?


ARs 2300

BRs 2400

CRs 2500

DRs 2200

Answer: Option A

Explanation:

Nirmal:Kapil = 9000*12:(12000*6+6000*6) = 1:1

Kapils share = Rs. [4600 *(1/2)) = Rs. 2300

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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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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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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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A, B and C started a business by investing Rs. 40,500, Rs. 45,000 and Rs. 60,000 respectively. After 6 months C withdrew Rs. 15,000 while A invested Rs. 45,000 more. In annual profit of Rs. 56,100, the share of C will exceed that of A by:


ARs. 900

BRs. 1100

CRs. 3000

DRs. 3900

Answer: Option D

Explanation:

For one year the capital is
A = (40500 * 6 + 45000 * 6) = Rs. 5,13,000
B = (45000 * 12) = Rs. 5,40,000
C = (60000 * 6 + 45000 * 6) = Rs. 6,30,000
Ratio A : B : C = 513 : 540 : 630
C's share will exceed that of A by
= [(630 - 513)/1683] * 56100 => (117/1683) * 56100
=> (117/3) * 100 = 39 * 100 = Rs. 3900

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A profit of Rs. 33, 630 earned during an year is divided among A, B and C. The profit sharing ratio of A and B is 3 : 7 and that of B and C is 6 : 5. The amount of money received by B is:


ARs. 14,868

BRs. 16,257

CRs. 13,290

DRs. 12,390

Answer: Option A

Explanation:

Given Sharing ratio A & B = 3:7 and B & C = 6:5
=> A : B : C = 18 : 42 : 35
so B's share = (42/95) * 33630
=> B's share = Rs. 14868

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