# 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} = ^{3}⁄_{1}

=> 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, ^{15}⁄_{4}/^{3y}⁄_{4 }= 1/2

=> y = 10 (option ‘B’)** **