ARITHMETICMATHSPARTNERSHIP

SSC CGL: QUESTIONS ON PARTNERSHIP (PART-II)

QUESTIONS ON PARTNERSHIP (PART-II)

QUERY 11

A and B entered into partnership with capitals in the ratio 4 : 5. After 3 months, A withdrew 1/4 of his capital and B withdrew 1/5 of his capital. The gain at the end of 10 months was Rs 760. A’s share in this profit is?

A) Rs 330
B) Rs 360
C) Rs 380
D) Rs 430

MAHA GUPTA
Let A’s initial capital = Rs 400
And B’s initial capital = Rs 500

Thus A’s capital after 3 months = 400 – 1/4 of 400 = Rs 300
And B’s capital after 3 months = 500 – 1/5 of 500 = Rs 400

Hence, A’s 1 month equivalent capital for 10 months = 400*3 + 300*7  = 3300
And B’s 1 month equivalent capital for 10 months = 500*3 + 400*7 = 4300

So ratio of their capitals = 3300 : 4300 = 33 : 43

Therefore A’s share in the profit = 760*(33/76) = Rs 330 (option ‘A’)

QUERY 12

A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined then after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C?

A) 3 : 5 : 2
B) 3 : 5 : 5
C) 6 : 10 : 5
D) 3 : 5 : 10

MAHA GUPTA
Let the initial investments of A and B be 3x and 5x

Hence one month equivalent investments of A, B and C
A = 3x*12 =36x
B = 5x*12 = 60x
C = 5x*6 = 30x

Therefore their profit sharing ratio = 36x : 60x : 30x = 6 : 10 : 5 (option ‘C’)

QUERY 13

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?

A) 4 months
B) 5 months
C) 6 months
D) 8 months

MAHA GUPTA
Let B joined for x months.

Thus their one month equivalent capitals
A = 85000*12
B = 42500*x = 42500x

Therefore, (85000*12)42500x = 31
=> x = 8 months (option ‘D’)

QUERY 14

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

A) Rs 45
B) Rs 50
C) Rs 55
D) Rs 60

MAHA GUPTA
Their one month equivalent use of the pasture 
A = 10*7 = 70 months
B = 12*5 = 60 months
C = 15*3 = 45 months

Hence their expenditure sharing ratio = 70 : 60 : 45 = 14 : 12 : 9

Therefore C’s share of the rent = 175*(9/35) = Rs 45 (option ‘A’)

QUERY 15

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?

A) Rs 200
B) Rs 300
C) Rs 400
D) Rs 500

MAHA GUPTA
Let C’s share = Rs x
Then, B’s share = Rs x/2
and A’s share = Rs x/4

Thus their ratio = x/4 : x/2 : x = 1 : 2 : 4

Therefore, C’s share = 700*(4/7) = Rs 400 (option ‘C’)

QUERY 16

Rahul and Bharti are partners in a business. Rahul contributes 1/4th capital for 15 months and Bharti received 2/3 of profit. For how long Bharti money was used?

A) 8 months
B) 10 months
C) 11 months
D) 17 months

MAHA GUPTA
Bharti’s share of profit = 2/3
Thus Rahul’s share of profit = 1 – 2/3 = 1/3
Hence profit sharing ratio of Rahul and Bharti = 1/3 : 2/3 = 1 : 3

Rahul’s share of capital = 1/4
So, Bharti’s share of capital = 1 – 1/4 = 3/4

Now let Bharti’s capital was used for y months
Therefore, one month equivalent capital of Rahul = 1/4 × 15 = 15/4
And one month equivalent capital of Bharti = 3/4 × y = 3y/4

So, 154/3y= 1/2
=> y = 10 (option ‘B’) 

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Maha Gupta

Maha Gupta

Founder of www.examscomp.com and guiding aspirants on SSC exam affairs since 2010 when objective pattern of exams was introduced first in SSC. Also the author of the following books:

1. Maha English Grammar (for Competitive Exams)
2. Maha English Practice Sets (for Competitive Exams)