# Partnership - Quantitative Aptitude Challenge

Today I am sharing Partership questions, must read concepts from following link before solving :-

==>> Must read - Partnership Concept and Shortcuts

Q1. Amar, Bobby and Chintu enter into a partnership. Amar initially invests Rs.25 lakhs and adds another Rs.10 lakhs after one year. Bobby initially invests Rs.35 lakhs and withdraws Rs.10 lakhs after 2 years and Chintu  invests Rs.30 lakhs. In what ratio should the profits be divided at the end of 3 years?
a) 10 : 10 : 9                b) 20 : 20 : 19                          c) 20 : 19 : 18
d) Data inadequate       e) None of these
Q2. Akshay and Bidhyut started a business jointly. Akshay’s investment was thrice the investment of Bighyut and the period of his investment was two times the period of investment of Bidhyut. If Bidhyut received Rs. 4000 as profit, then their total profit is :
a) Rs.16,000                b) Rs.20,000                            c) Rs.24,000
d) Rs.28,000                e) None of these

Q3. Amarinder, Balwinder and Charanjeet started a shop by investing Rs.27,000, Rs.72,000 and Rs.81,000 respectively. At the end of the year, the profits were distributed among them. If Charanjeet’s share of profit be Rs.36,000, then the total profit was :
a) Rs.80,000                b) Rs.95,600                            c) Rs.1,08,000
d) Rs.1,16,000             e) None of these

Q4. Arnold and Bector are partners in a business. Arnold contributes 1 / 4 of the capital for 15 months and Bector received  2 / 3 of the profit. For how long Bector’s money was used?
a) 6 months                  b) 9 months                             c) 10 months
d) 1 year                      e) None of these

Q5. Aslam, Badiullah, C enter into a partnership investing Rs.35,000, Rs.45,000 and Rs.55,000 respectively. The respective shares of A, B, C in an annual profit of Rs.40,500 are :
a) Rs.10,500, Rs.13,500, Rs.16,500                       b) Rs.11,500, Rs.13,000, Rs.16,000
c) Rs.11,000, Rs.14,000, Rs.15,500                       d) Rs.11,500, Rs.12,500, Rs.16,500

e) None of these

### Solution

Amar : Bobby : Chintu = (25 lakhs × 1) + (35 lakhs × 2) : (35 lakhs × 2 + 25 lakhs × 1) : (30 lakhs × 3)
= 95 lakhs : 95 lakhs : 90 lakhs = 19 : 19 : 18

Suppose Bidhyut invested Rs. x for y months. Then, Akshay invested Rs.3x for 2y months.
So, Akshay : Bidhyut = (3x × 2y) : (x × y) = 6xy : xy = 6 : 1
So, Bidhyut’s profit : total profit = 1 : 7
Let the total profit be Rs. x. Then, 1 / 7 =  (4000 / x)  or x = 28000

Amarinder : Balwinder : Charanjeet = 27000 : 72000 : 81000 = 3 : 8 : 9
So, Charanjeet’s share : total profit = 9 : 20
Let the total profit be Rs. x. Then,  =  9 / 20  = (36000 / x )or x = (36000 ×20 / 9)   = 80000

Let the total profit be Rs. z. Then,
Bector’s share = Rs. 2z / 3   , Arnold’s share = Rs. [z - 2z / 3] = Rs. z / 3
So, Arnold : Bector =( z / 3) :   (2z / 3) = 1 : 2
Let the total capital be Rs. x and suppose Bector’s money was used for x months. Then,
= [ 1 / 4x × 15 ] / [(3 / 4x × y)] = 1 / 2
y = [ 15 × 2 / 3] = 10
Thus, Bector’s money was used for 10 months.

A : B : C = 35000 : 45000 : 55000 = 7 : 9 : 11
A’s share = Rs. [40500 × 7 / 27] = Rs.10500
B’s share = Rs. [40500 × 9 / 27  ] = Rs.13500

C’s share = Rs. [40500 × 11 / 27  ] = Rs.16500

==> Must read - Quantitative Aptitude Shortcuts 