This set of Aptitude Questions and Answers (MCQs) focuses on “Partner Retirement – Set 2”.
1. A, B and C were 3 partners in a firm with a profit – sharing ratio of 4 : 5 : 6. If B retires after 8 months, find the profit – sharing ratio of the profit made after a year.
a) 4 : 5 : 6
b) 5 : 6 : 7
c) 6 : 5 : 9
d) 9 : 4 : 5
View Answer
Explanation : The profit – sharing ratio in the beginning = 4 : 5 : 6
Time period of B’s term = 8 months
The new ratio = 4 * 12 : 5 * 8 : 6 * 12 = 48 : 40 : 72 = 6 : 5 : 9
2. A, B and C were partners in a firm with a profit – sharing ratio of 4 : 9 : 11. If C left in a new year, find the profit – sharing percentage of B. It is known that C’s share was distributed equally between A and B.
a) 9 : 19
b) 19 : 29
c) 29 : 39
d) 39 : 49
View Answer
Explanation : Let the shares be in terms of X.
The share of A = 4x
The share of B = 9x
The share of C = 11x
C retired and the share was equally distributed among A and B.
11x / 2 = 5.5x
A’s new share = 4x + 5.5x = 9.5x
B’s new share = 9 + 5.5x = 14.5x
New ratio = 9.5x : 14.5x = 19 : 29
3. A, B and C were partners in a firm with the profit – sharing ratio 9 : 8 : 10. If B retires in a new year and his share was distributed among a and C in the ratio 1 : 3, find the new profit – sharing ratio of A and C.
a) 9 : 10
b) 11 : 16
c) 14 : 22
d) 19 : 27
View Answer
Explanation : Let the shares be in terms of X.
The share of A = 9x
The share of B = 8x
The share of C = 10x
B retired in a new year and his share was distributed among A and C in the ratio 1 : 3.
B’s share given to A = 8x / 4 * 1 = 2x
B’s share given to C = 8x / 4 * 3 = 6x
The new share of A = 9x + 2x = 11x
The new share of C = 10x + 6x = 16x
The new profit – sharing ratio among A and B = 11 : 16
4. A, B and C were partners in a firm with a profit – sharing ratio of 5 : 9 : 15, respectively. If C retires and his share was distributed among A and B in the ratio 2 : 1, find the percentage change in the initial and final share of B.
a) 44.44%
b) 55.55%
c) 66.66%
d) 77.77%
View Answer
Explanation : The initial share of A = 5 / 29
The initial share of B = 9 / 29
The initial share of C = 15 / 29
After C’s retirement his share was distributed among A and B in the ratio 2 : 1.
Let the ratios be in terms of X.
The share of A, B and C = 5x, 9x and 15x
The share of C for A = 15x * 2 / 3 = 10x
The share of C for B = 15x * 1 / 3 = 5x
The new share of A = 5x + 10x = 15x
The new share of B = 9x + 5x = 14x
The new share of B = 14x = 14 / 29 of the whole
Change in share of B = 14 / 29 – 9 / 29 = 5 / 29
The percentage change = (5 / 29) / (9 / 29) * 100 = 500 / 9 = 55.55%
5. A, B and C were partners in a business with profit sharing ratio of 4 : 8 : 15. If B left the partnership in the new year and his share was distributed among A and C in equal ratio, find the share of profit of A. The total profit was 27000 rupees.
a) 4000 rupees
b) 8000 rupees
c) 12000 rupees
d) 19000 rupees
View Answer
Explanation : Let the shares be in terms of X.
The initial share of A = 4x
The initial share of B = 8x
The initial share of C = 15x
The share of B was distributed equally amongst a and c.
The new share of A = 4x + 4x = 8x
The new share of C = 15x + 4x = 19x
The total profit = 27000 rupees
The share of profit of A = 27000 / 27 * 8 = 8000 rupees
6. The profit earned by 3 partners is 45000 rupees. If A retired and gave his share to B, B gets 30000 rupees as his share of profit. If the initial ratio of shares of B to C is 1 : 1, find the share of A transferred to B.
a) 5000 rupees
b) 10000 rupees
c) 15000 rupees
d) 18000 rupees
View Answer
Explanation : In the question it is said that A retired from the business and gave his share of profit to B. Before this the ratio of share of B to C was 1 : 1.
The initial ratio of B to C = 1 : 1
B’s share which is unchanged = 45000 – 30000 = 15000 rupees
The initial share of B = 15000 as it was same as C.
The initial share of A = 45000 – (B’s initial share + C’s initial share)
Th initial share of A = 45000 – 30000 = 15000
Each one had the initial share of 15000 that means the initial ratio was 1 : 1 : 1.
The amount A transferred to B is 100% of his share = 15000 rupees.
7. X, Y and Z are partners in a business with profit sharing ratio of 4 : 7 : 9. If Z retires and his share is distributed among X and Y in the ratio 5 : 13, find the new profit – sharing ratio of X and Y.
a) 12 : 15
b) 13 : 27
c) 15 : 29
d) 17 : 31
View Answer
Explanation : Let the shares be in terms of X.
The initial share of X = 4x
The initial share of Y = 7x
The initial share of Z = 9x
The share of Z is distributed among X and Y in the ratio 5 : 13
The new share of X = 4x + 5 * 9x / 18 = 2.5x = 6.5x
The new ratio of Y = 7x + 13 * 9x / 18 = 7x + 6.5x = 13.5x
The new profit – sharing ratio of X and Y = 6.5x : 13.5x = 13 : 27
8. P, Q and R are partners in a firm with a profit – sharing ratio of 4 : 5 : 6. If Q retires and his share of profit is transferred to P, find the new profit – sharing ratio of P and R.
a) 1 : 2
b) 2 : 1
c) 2 : 3
d) 3 : 2
View Answer
Explanation : Let the hares be in terms of X.
The initial share of P = 4x
The initial share of Q = 5x
The initial share of R = 6x
The share of Q is transferred to P.
The new share of P = 4x + 5x = 9x
The new share of R = the old share = 6x
The new profit – sharing ratio of P to R = 9x : 6x = 3 : 2
9. A, B and C are in a partnership with a profit – sharing ratio of 3 : 4 : 5. If A retires and his share is transferred to C, find the profit share of B. The total profit for the year is 56700 rupees.
a) 18000 rupees
b) 18900 rupees
c) 19100 rupees
d) 19800 rupees
View Answer
Explanation : Let the shares be in terms of X.
The initial share of A = 3x
The initial share of B = 4x
The initial share of C = 5x
The share of A is transferred to C.
C’s new share = 5x + 3x = 8x
The share of B = 4x
The new profit – sharing ratio of B to C = 4x : 8x = 1 : 2
The share of profit of B = total profit / 3 * 1 = 56700 * 1 / 3 = 18900 rupees
10. A, B and C are three partners in a business with the profit – sharing ratio of 1 : 3 : 5, respectively. If A and B are retired and they take 50% of their share and give the rest to C, find the share of C. The total profit for the year is 99000 rupees.
a) 44000 rupees
b) 55000 rupees
c) 66000 rupees
d) 77000 rupees
View Answer
Explanation : Let the shares be in terms of X.
The initial share of A = x
The initial share of B = 3x
The initial share of C = 5x
A and B retire taking half of their shares and giving the rest to C.
C’s new share = 50% of X + 50% of 3x + 5x = 0.5x + 1.5x + 5x = 7x
The share of C = 7x out of a total of 9x.
C’s share = total profit / 9 * 7 = 99000 / 9 * 7 = 77000 rupees
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