Crack IBPS PO : Partnership – Aptitude Day 68

Q.1) Three friends Divya, Bhanu, Chitra invested in a business in the ratio of 3:4:7. After 3 months Bhanu withdraw half of her capital. If the sum invested by Divya is 27000, then the profit earned by Bhanu at the end of the year out of the total profit of Rs.40150 is,

a) Rs.17000

b) Rs.19800

c) Rs.3850

d) Rs.8030

e) None of these

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d)

Let Divya, Bhanu & Chitra investment be 3X, 4X & 7X respectively.

Then from Divya’s investment, 3X = 27000 => X = Rs.9000

Then Bhanu & Chitra investment is Rs.36000 & Rs.63000 respectively.

Profit ratio of Divya, Bhanu, Chitra is,

27000×12 : 36000×3 + 18000×9 : 63000×12 => 36 : 30 : 84

Bhanu’s profit = 40150×30/150 = Rs.8030

Q.2) Anu starts business with Rs.33000 and after 6 months, Banu joins with Anu as his partner. After 17 months, the profit is divided in the ratio 6 : 5. What is Banu’s contribution in the capital?

a) Rs.40500

b) Rs.42500

c) Rs.44600

d) Rs.45500

e) None of these

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b)

Ratio of their profits,

Anu : Banu = 33000 × 17 : X × 11 => 51000 : X = 6 : 5 => X = 42500

Banu’s contribution in the capital = Rs.42500

Q.3) Two persons A and B invested in a business with 3.5 Lakh and 4.2 Lakh rupees respectively. They agree that 23% of the profit should be divided equally among them and rest is divided between them according to their investment. If B got Rs.2100 more than A, then the total profit is.

a) Rs.20000

b) Rs.25000

c) Rs.27000

d) Rs.30000

e) None of these

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d)

Ratio of profit of A & B is,

A : B = 3.5 : 4.2 => 5 : 6

Let the total profit earned be X

Since, 23% of the profit should be divided equally among them, Then the remaining share is = 77% of X.

A’s share =77/100×X×5/11 & B’s share =77/100×X×6/11

From question,

77/100×X×6/11 -77/100×X×5/11 = 2100 => X=Rs.30000

Q.4) X, Y & Z invested in the ratio of 11:12:13. After the end of business term they receive the profit in the ratio 6:7:8. Find the ratio of time in which they invested in the business.

a) 934:1001:1055

b) 1054:1000:937

c) 936:1001:1056

d) Cannot be determined

e) Other than the given options.

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c)

X, Y & Z invested in ratio 11:12:13 respectively. Also, T1, T2 & T3 are duration of their investment respectively.

Profit earned = Investment × Time

Profit ratio = 6 : 7 : 8 = 11×T1 : 12×T2 : 13×T3

T1 : T2 : T3 = 936 : 1001 : 1056

Q.5) Three persons enter into a partnership by investing in the ratio of 6:7:9. After one year A invest Rs.22000 more. Now, the ratio of investment changes to 5:4:7. Approximately how much A invested initially?

a) Rs.88000

b) Rs.68000

c) Rs.48000

d) Rs.66000

e) Other than the given options.

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c)

Let the investment of A,B & C initially be 6X, 7X & 9X respectively for an year.

After one year ratio of their investment is,

5 : 4 : 7 = 6X+22000 : 7X : 9X => X = Rs.8000

A’s investment initially = 6X = 6×8000 = Rs.48000

Q.6) A and B invested rupees Rs.13000 and Rs.11000 respectively in a business. A being an active partner will get Rs.175 every month extra for running the business. In two years if A receive a total of Rs.9000, then what is profit earned by B in two years.

a) Rs.2200

b) Rs.3300

c) Rs.4200

d) Rs.4800

e) Other than the given options

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a)

Profit ratio of A and B is,

A:B=13000:11000=A:B= 13:11

A being an active partner will get Rs. 175 every month. Then for 2 years A will receive Rs. 4200

Remaining Amount of A = 9000- 4200 = Rs. 4800

Then Profit earned by B in 2 years = (4800/13)*11= Rs.5672 (Approx)

Q.7) A and B invested in a business in which A invest Rs.770 more than B. B invested for 9 months while A invested for 5 months. If A get Rs.130 more than B out of a total profit of Rs.2700. Then the total amount invested in the business approximately is,

a) Rs.14520

b) Rs.14830

c) Rs.14990

d) Rs.15540

e) Other than the given options

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b)

Let the investment of B be X.

Then the investment of A is X+770.

Profit ratio of A & B is,

A : B = (X+770)×5 : X×9 —————— (1)

From the question,

Profit of A = 130+Profit of B

Total profit = 2700 = 130+Profit of B + Profit of B

Profit of B = Rs.1285

Profit of A = 130 + 1285 = Rs.1415

Profit ratio of A & B = 1415:1285 = 283 : 257 –— (2)

From 1 & 2,

283/257 = (X+770)×5/(X×9)

X = 784.033 = 784 (Approx)

Total investment = (784+770)×5+(784×9) = Rs.14826=Rs.14830(Approx)

Q.8) A, B and C started a business. They invest Rs.23,000, Rs.17,000 and Rs.9,000 respectively. At the end of the first year, B invests additionally Rs.5,000, while at the end of the second year, C withdraws Rs.1500. In what ratio will the profit be shared at the end of 2 1/2 years?

a) 230∶200∶87

b) 220:180:89

c) 200:230:87

d) 189:200:90

e) None of these

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a)

A invests Rs.23000 for 30 months

B invests Rs.17000 for 12 months & Rs.22000 for 18 months

C invests Rs.9000 for 24 months & Rs.7500 for 6 months

Ratio of their profits, A : B : C is,

23000×30 : 17000×12 + 22000×18 : 9000×24 + 7500×6 = 230 : 200 : 87

Q.9) 3 partners X, Y & Z start a business. 12 times of X’s capital is equal to 13 times of Y’s capital and Y’s capital is 9 times Z’s capital. If Y’s profit is Rs.7200. Then find the average profit X & Z.

a) Rs.8600

b) Rs.4300

c) Rs.5300

d) Rs.4400

e) Rs.6400

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b)

Let the capital of Z be a

Then the capital of Y is 9a

Then the capital of X is 39a/4

Ratio of their profit is,

X : Y : Z =39a/4 : 9a : a = 39 : 36 : 4

Total profit X & Z=7200/36 ×43 = Rs.8600

Average profit of X & Z=8600/2=Rs.4300

Q.10) A and B have started a business. A contributes 3/7th of the total capital for 24 months and B received 3/5th of the profit. Then how long B invests the money in the business?

a) 27months

b) 25months

c) 24months

d) 32months

e) None of these

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a)

Let the total profit be X

Then B’s profit is 3/5 X

Also, A’s profit is 2/5 X

Ratio of A & B profit =2/5 X :3/5 X = 2 : 3

Let the total investment be P

A’s investment =3/7×P (for 24 months)

Then B’s investment =4/7×P

Ratio of A & B profit = 2 :3 =3/7×P×24 :4/7×P×T

T = 27 months =B’s investment time

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