Partnerships - MCQ 1 - Bank Exams MCQ

Ratio of investments =1/2 : 1/3 : 1/4 , LCM of 2, 3, 4 = 12 ,multiply ratios with 12 we get 6 : 4 : 3 , so,initial investment be 6x, 2x and 3x so, we can write: A : B :C
=(6x X 2 + 3x X 10 ) : (4x X 12) :(3x X 12) = 7:8:6
B’s share= (8/21) x 1050 = 400

let B joined after x months
Then, 21000 x 12 = 36000 x (12 – x)36 = 180x = 5Hence, B joined after 5 months

Let total profit is x
Then Bimal’s share in profit= (2/3)x
so anju’s share in profit= x- (2/3)x =x/3
so,we get ratios of profit of Anju :Bimal :: 1:2
Let total capital invested be Rs P and Anju’s money was used for 15 months while Bimal’s money was used for b months .
then, (1/4)P X 15 divide by (3/4)P x b = 1/2 [ Capital x time =profit] so,we get b=10
Bimal’s money was used for 10 months

P : Q = 3 : 2 , P : R = 2 : 1 [given] Q : P = 2 : 3 [reverse], Q : P = 4 : 6 [multiply by 2] Now, P : R = 2 : 1
P : R = 6 : 3 [multiply by 3] P : Q =6 : 4 [after x3] , So Q : P : R = 4 : 6 : 3
or, P : Q : R = 6 : 4 : 3
Q’s share= 4/13 x 2236=Rs.688

A : B : C = 10 x 7 : 12 x 5 : 15 x 3
= 70 : 60 : 45
= 14 : 12 : 9.
∴ C’s rent = Rs. [175000 x 9/35] = Rs. 45000.

Let the initial investments of P and Q be 3a amd 5a.
P : Q : R = (3a x 12) : (5a x 12) : (5a x 6) = 36 : 60 : 30 = 6 : 10 : 5.

let B’s investment= X then A’s investment= 3X
lets tim for B = t then,A’s time= 2t
A:B
3X x 3t : X x t
6:1
B’s share= 1/7 x total = 4000
total=28,000

A:B: C = 16000 x3 + 11000×9:12000 x 3 + 17000 x 9:21000 x 6 = 147:189:126 = 7:9:6
Difference of B and C’s shares = Rs. [26400 x (9/22) — 26400 x (6/22)) = Rs. 3600.

let total profit =x
ashok’s share in profit is (1/10)x
remaining profit = x= (1/10)x= (9/10)x
pramod’s share= 1/3 x (9/10)x = (3/10 )x
Prakash’s share= 2/3 x (9/10)x = (6/10)x
ashok – prakash= (6/10)x -(1/10)x = (5/10)x
5/10 x = 2,000 so, x= 4000 pramod’s share= (3/10) x 4000=1200

Let the total profit be Rs. 100.
After paying to charity, A’s share = Rs. 95 x 3/5 = Rs. 57.
If A’s share is Rs. 57, total profit = Rs. 100.
If A’s share Rs. 855, total profit =(100/57) x 855 = 1500.