# Quantitative Aptitude: Partnership Set 5

Caselets Partnership Questions for IBPS PO, SBI PO, NIACL, NICL, LIC, RBI Grade B, IBPS Clerk, Dena Bank PO PGDBF, BOI, Bank of Baroda and other competitive exams

1. Kartik, Bhuvan and Sid entered into a partnership and invested Rs 13,000, Rs 16,000 and Rs 19,000 respectively. After 7 months, Kartik and Bhuvan added Rs 1,000 and Rs 5,000 respectively while Sid withdrew Rs 5,000. If at the end of year their annual profit is Rs 43,160, find the total profit share of Kartik and Sid.
A) Rs 28,030
B) Rs 27,190
C) Rs 26,830
D) Rs 28,420
E) Rs 27,040
Â  Option E
Solution
:
Karti : Bhuvan : Sid
13000*7 + 14000*5 : 16000*7 + 21000*5 : 19000*7 + 14000*5
23 : 31 : 29
So required share = (23+29)/(23+31+29) * 43160 = Rs 27,040Â
2. Megha, Isha and Rani entered into a partnership by investing Rs 20,000, Rs X, and Rs 22,000 respectively for 6 months, 8 months and 10 months respectively. If Isha earns a profit of Rs 16500 out of a total profit of Rs 44,550, find the total investment done by all three.
A) Rs 47,000
B) Rs 25,000
C) Rs 54,000
D) Rs 39,000
E) Rs 67,000
Option E
Solution:

Megha : Isha : Rani
20000*6 : X*8 : 22000*10
30000 : 2X : 55000
15000 : X : 27500
So X/(15000+X+27500) * 44550 = 16500
Gives X/(15000+X+27500) * 270 = 100
Solve, X = 25,000
So total investment = 20+25+22 = 67,000
3. Kamya, Prisha and Tisha started a business by investing Rs X, Rs (X+400) and Rs (X-200). If after the end of year, total share of profit of Kamya and Tisha is Rs 8100 out of a total profit of Rs 13,500, find the profit share of Prisha.
A) Rs 6100
B) Rs 5400
C) Rs 5100
D) Rs 6600
E) Rs 5500
Option B
Solution
:
Kamya : Prisha : Tisha
X : (X+400) : (X-200)
So (X+X-200)/(X + X+400 + X-200) * 13500 = 8100
Solve, X = 1600
So ratio of profit share is
1600 : 2000 : 1400 = 8 : 10 : 7
So profit share of Prisha = 10/25 * 13500 = Rs 5400
4. Preeti, Anu and Aarti entered into a business. Preeti invested Rs 2500 for some months, Anu invested Rs 3000 for 2 more months than Preeti and Aarti invested Rs 3500 for 3 months less than Anu. If Anu got Rs 8400, out of a total profit of Rs 19,000, then Aarti invested her money for how many months?
A) 3 months
B) 5 months
C) 4 months
D) 6 months
E) 2 months
Option C
Solution
:
Preeti : Anu : Aarti
25000*x : 3000*(x+2) : 3500*(x-1)
5x : 6(x+2) : 7(x-1)
So (6x+12)/(5x + 6x+12 + 7x-7) * 19000 = 8400
Solve, x = 5
So Aarti invested money for 4 months

Directions (5-7): A, B and C started a business by investing Rs 800, Rs 1600 and Rs 2000 respectively. After a quarter they invested amounts in a ratio 1 : 4 : 2. After another quarter, they invested amounts in ratio 3 : 2 : 3.In the last quarter the ratio of investments was same as in 2nd quarter. Also in the last quarter, the respective amounts of A, B and C was double than the respective amounts invested in 2nd quarter. The total investment of C before 4th quarter was Rs 1400 more than that of A during same duration. Also ratio of Bâ€™s share in profit to total profit at the end of year was 66 : 153.

1. Find the total investment of A, B and C.
A) Rs 10,200
B) Rs 11,300
C) Rs 9,800
D) Rs 10,080
E) Rs 11,090
Option A
Solution
:
Quarters means 3 months each
Ratio of investments in 2nd quarter â€“ 1 : 4 : 2, so let amounts â€“ x, 4x, 2x
Ratio of investments in 3rd quarter â€“ 3 : 2 : 3, so let amounts â€“ 3y, 2y, 3y
In last quarter, respective amount is double then in 2nd quarter, so amounts â€“ 2x, 8x, 4x
In the last quarter the ratio of investments was same as in 2nd quarter. — Â this is not required to solve question.
Given:
(2000 + 2x + 3y) = 1400 + (800+x+3y)
Solve, x = Rs 200
Now ratio of profit share â€”A : B : C is
800*3 + x*3 + 3y*3 + 2x*3 : 1600*3 + 4x*3 + 2y*3 + 8x*3 : 2000*3 + 2x*3 + 3y*3 + 4x*3
3 gets cancelled, gives
(800+3x+3y) : (1600+12x+2y) : (2000+6x+3y)
Put x = 200 gives
1400+3y : 4000+2y : 3200+3y
Now given
(4000+2y)/(1400+3y + 4000+2y + 3200+3y) = 66/153
(2000+y)/(4300+4y) = 22/51
Solve, y = Rs 200
So now the total investment isâ€”(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y)
put x = 200, y = 200, total investment = Rs 10,200
2. If they respectively had invested same amounts in each quarter after quarter 1 which is equal to their respective investments in quarter 1, then what would be the profit of A at the end of year out of a total profit of Rs 19,350?
A) Rs 2510
B) Rs 3320
C) Rs 2560
D) Rs 3150
E) None of these
Option D
Solution
:
800, 1600, 2000 as it is for 3 months, and then for next 9 months x, 4x and 2x
So ratio of profit share – A : B : C is
800*3 + 200*9 : 1600*3 + 800*9 : 2000*3 + 400*9
7 : 20 : 16
So profit share of A = 7/43 * 19350 = Rs 3150
3. If the respective investments in third quarter was changed and this was in ratio 2 : 4 : 1 (other investments being the same), then what would be the total investment of all three in third quarter, if the average investment of all A B and C was Rs 3100 for whole year?
A) Rs 700
B) Rs 800
C) Rs 500
D) Rs 900
E) None of these
Option A
Solution
:
New investments â€“ 3z, 2z, and 2z
Investment of A = (800+3x+2z), B = (1600+12x+4z) and C =(2000+6x+1z)
Put x = 200
A = 1400+2z, B = 4000+4z, C = 3200+1z
Now given (1400+2z + 4000+4z + 3200+1z)/3 = 3100
Solve, z = Rs 100
So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700

Directions (8-10): A, B and C started a business. They invested amounts in the ratio 1 : 3 : 2 respectively for 8 months. After this they invested amounts in ratio 2 : 3 : 4 respectively for 4 months. The average investment of A and B is Rs 2800 while average investment of B and C is Rs 3800.

1. Find the total investment of C?
A) Rs 4000
B) Rs 5000
C) Rs 6000
D) Rs 4500
E) Rs 3500
Option A
Solution
:
A : B : C is
x*8 + 2y*4 : 3x*8 + 3y*4 : 2x*8 + 4y*4 gives (2x+2y) : (6x+3y) : (4x+4y)
Given::
(x+2y+3x+3y)/2 = 2800
4x+5y = 5600
Also (3x+3y+2x+4y)/2 = 3800
5x+7y = 7600
Solve both equations, x = 400, y = 800
So total investment of C = (2x+4y) = Rs 4000
2. If Bâ€™s investment for both the terms (4 months and 8 months) was swapped, then find the total profit share of B and C if annual profit is Rs 46,200.
A) Rs 45,600
B) Rs 32,800
C) Rs 43,600
D) Rs 37,800
E) None of these
Option D
Solution
:
Bâ€™s investment for 8 months = 3x = 3*400 = Rs 1200 and for 4 months = 3y = 3*800 = Rs2400
Now swapped, means for 8 months = Rs 2400 and for 4 months is Rs 1200
So now ratio of A : B : C is
400*8 + 1600*4 : 2400*8 + 1200*4 : 800*8 + 3200*4
2 : 5 : 4
So required profit = (5+4)/(2+5+4) * 46200 = Rs 37,800Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
3. If Aâ€™s share in annual profit is Rs 9030, find the total profit after a year.
A) Rs 41,390
B) Rs 45,150
C) Rs 42,610
D) Rs 46,240
E) Rs 43,170
Option B
Solution
:
Ratio of profit share is
(2x+2y) : (6x+3y) : (4x+4y)
x = 400, y = 800
So ratio becomes
1 : 2 : 2
So 1/5 * x = 9030
Total profit = x = Rs 45,150

## 15 Thoughts to “Quantitative Aptitude: Partnership Set 5”

1. thinker

Nice moderate level quiz thanks aese hi quiz post kro plz.

2. Sachin Shukla

ty:)

3. _/_

qs 8 me calculation mistake hai mod

1. _/_

qs 8 to 10
check that mam

1. Where did you find mistake ?

1. _/_

X ND Y KI VALUE PE

4. Marry..

nice questions thanx

5. Diya

Q.8
(x+2y+3x+3y)/2 = 2800
how to find out this equation (x+2y+3x+3y)

1. see from here::
x*8 + 2y*4 : 3x*8 + 3y*4

A invested x for 8 months, and 2y for 4 months, so total x+2y
Similarly for B and C
B = 3x+3y

1. EKTA

hello mam plss explain me question no 6 and 9

in which step?

1. EKTA

mam question hi clear nii h muje ..first explain me question

6. sneha

nice qus thanks

7. ron(honey)..

grt quiz ty az nd shubra mam

8. EKTA

mam plss explain question no 6 .. not cleared