# Crack IBPS PO : Partnership – Aptitude Day 71

Q.1) Three partners P, Q and R invest a total sum of Rs.57000. At the end of the year P gets Rs.3000, Q gets Rs.2500 and R gets Rs.4000 as profit. Find the average amount invested by P and R.

a) Rs.20000

b) Rs.21000

c) Rs.22000

d) Rs.23500

e) Other than the given options

B

Profits of P, Q & R is 3000, 2500, 4000 Rupees respectively.

Ratio of their profits is,

P:Q:R = 3000:2500:4000 => P:Q:R = 6:5:8

Then investment of P, Q & R be 6X, 5X & 8X.

6X+5X+8X = 57000 => X=3000

Average amount invested by P & R =3000/2×14 = Rs.21000

Q.2) A invested 25% more than B’s investment. B invested 36% less than investment of C. A’s investment is what percent of investment made by both B & C?

a) 47.8%

b) 48.7%

c) 49.6%

d) 44.6%

e) None of these

B

Let the investment of C be 100%.

Then B’s investment is 64% & also A’s investment is 80%.

Required percentage =80/164×100 = 48.7%

Q.3) Two persons A and B invested in a business with 27 Lakh and 36 Lakh rupees respectively. They agree that 25% of the profit should be in the ratio 2:3 for A & B respectively and rest is divided between them according to their investment. If B got Rs.1430 more than A, then the total profit B is.

a) Rs.5265

b) Rs.5465

c) Rs.5275

d) Rs.6265

e) None of these

A

Ratio of profit of A & B is,

A : B = 27: 36 => 3 : 4

Let the total profit earned be X

Since, 25% of the profit should be divided in the ratio 2:3 for A & B, Then the remaining share is = 75% of X.

A’s share =75/100×X×3/7  +25/100×X×2/5

B’s share =75/100×X×4/7  +25/100×X×3/5

From question,

[75/100×X×4/7  +25/100×X×3/5]  – [75/100×X×3/7  +25/100×X×2/5]= 1430

X[44/280] = 1430 => X = Rs.9100

B’s total profit =75/100×9100×4/7  +25/100×9100×3/5  = Rs.5265

Q.4) Three persons enter into a partnership by investing in the ratio of 8:7:1. After one year A doubles its investment & C puts another Rs.3000 to the initial investment. Now, the ratio of investment changes to 8:7:2. What is the total investment of A, B & C after 2 years?

a) Rs.34000

b) Rs.17000

c) Rs.68000

d) Rs.85000

e) Other than the given options

B

Let the investment of A,B & C initially be 8X, 7X & X respectively for 7 years.

After 7 years ratio of their investment is,

8 : 7 : 2 = 8X+16X : 7X ×2: X+3000  => X = Rs.1000

Total investment of A, B & C after 2 years = (8+7+2)×1000 = Rs.17000

Q.5) Ravi and Raja invested Rs.16983 and Rs.18981 respectively in a business. Raja being an active partner will get Rs.225 every month extra for running the business. In 18 months if Raja received a total amount of Rs.12150, then what is total profit earned by both in one and Half years is,

a) Rs.16675

b) Rs.15225

c) Rs.19397

d) Rs.15575

e) None of these

C

Profit ratio of A & B is,

Ravi : Raja = 16983 : 18981 => A : B = 17 : 19

Raja being an active partner will get Rs.225 every month. Then for 18 months Raja will receive Rs.4050.

Remaining amount of Raja = 12150 – 4050 = Rs.8100

Then profit earned by Ravi in 18 months =8100/19  × 17 = Rs.7247

Total profit earned by both in one and Half years = 12150+7247 = Rs.19397

Q.6)  A invested three-seventh, B invested three-fifth of the remaining and C the remaining. If B earned Rs.720 as profit for each year. Find the average monthly profit of all.

a) Rs.600

b) Rs.700

c) Rs.1100

d) Rs.800

e) None of these

B

Let the total investment of A, B & C be X.

A’s investment =3/7 X

Remaining of the investment =4/7 X

B’s investment =4/7×X×3/5  =12/35 X

Remaining of the investment =8/35 X = C’s investment

Profit ratio of A, B & C,

A : B : C =3/7×X×1 :12/35×X×1 :8/35×X×1 = 15 : 12 : 8

1 share =720/12  = Rs.60 (from Question B’s monthly profit)

Average monthly profit of A, B & C =60/3×35 = Rs.700

Q.7) A and B invested in a business in which A invest Rs.750 more than B. B invested for 15 months while A invested for 9 months. If A gets Rs.270 more than B, out of a total profit of Rs.8100. Then the amount invested in the business by A approximately is,

a) Rs.1710

b) Rs.2500

c) Rs.1850

d) Rs.1790

e) None of these

A

Let the investment of B be X & Profit of B be Y.

Then the investment of A is X+750.

Profit ratio of A & B is,

A : B = (X+750)×9 : X×15 ——————à (1)

From the question,

Profit of A = 270+Profit of B

Total profit = 8100 = 270+Profit of B + Profit of B

Profit of B = Rs.3915

Profit of A = 270 + 3915 = Rs.4185

Profit ratio of A & B = 4185:3915 = 31 : 29  –à (2)

From 1 & 2,

31/29  =  ((X+750)×9)/(X×15)

X = 959.55 = 960 (Approx)

A’s investment = X+750 = 960+750 = Rs.1710

Q.8) A Company makes a profit of Rs.72,000, of which 12% is paid as taxes. If the rest is divided among the partners X, Y and Z in the ratio 7:6:5 then the total share of X & Y is

a) Rs.56750

b) Rs.45760

c) Rs.44650

d) Rs.40700

e) None of these

B

Profit by company = Rs.72000

After paying tax of 12% remaining profit = 72000×88/100  = Rs.63360

Profit ratio of X,Y & Z = 7:6:5

Total share of X & Y = 63360×13/18  = Rs.45760

Q.9) In a partnership, X invests 2/5th of the capital for 1/3rd  of the time, Y invests 3/4th of the capital for 2/3rd of the time and Z invests for 2/7th of the capital for 3/4th  of the time. Out of the profit of Rs.53756 at the end of a year, find Z’s share in the profit.

a) Rs.13660

b) Rs.14590

c) Rs.13590

d) Cannot be determined

e) None of these

C

Ratio of their profits,

(2/5×1/3)×12 : (3/4×2/3)×12 : (2/7×3/4)×12 = 56 : 210 : 90

Z’s share = 53756×90/356 = Rs.13590

Q.10) Rs.3500 is divided among A,B & C. So that A receives half as much as B and B receives half as much as C. Then the total share of A & C is

a) Rs.1500

b) Rs.3000

c) Rs.2000

d) Rs.2500

e) None of these

D

Let the amount received by C is X,

Then amount received by B is X/2

Also, amount received by A is X/4

Profit ratio of A, B & C =X/4  :X/2  : X => 1 : 2 : 4

Total share of A & C = 3500 ×5/7  = Rs.2500