# Partnership - 2

1. P and Q started a business by investing in the ratio of 4 : 5 respectively. After 10 months Q left the business. After 5 more months, P left the business and R joined the business by investing Rs.6400 more than P’s investment. If at the end of 20 months, the respective ratio between the profit share of P to that of Q and R together is 2 : 3, then find the total investment of P and Q together. (In Rs.)

A) 19400   B) 14400   C) 17400    D) 16400    E) 12400

18x = 14x + 6400

4x = 6400

x = 1600

total investment (P + Q) = 4x + 5x = 9x

= 9 × 1600 = 14400

Ans: B

2. A starts a business with a capital of Rs.1800. B joins the business 6 months later from the start of the business and C joins the business 8 months later from the start of the business. End of the year their respective share in profit was in ratio of 6 : 5 : 5. What is the sum of amount put in the business by B and C together?

A) Rs.8000    B) Rs.6500    C) Rs.7500    D) Rs.5500    E) Rs.7800

Sol: investment × time = profit

Ans: C

3. X and Y started a business with the investments in the ratio of 7 : 5 respectively. After 3 months from the start of the business Z joined and the respective ratio between the investments of Y and Z was 3 : 4. If the annual profit earned by them was Rs.20,400, what was the difference between X’s share and Z’s share in the profit?

A) Rs.2700    B) Rs.2400    C) Rs.2100    D) Rs.3200    E) Rs.3000

Ans: B

4. A and B started a business. B’s investment was Rs.6000 more than that of A. At the end of 8 months from the start of the business B left and C joined with an investment which was Rs.8000 more than that of A. If the respective ratio between total annual profit and B’s share in profit was 2 : 1, what was the investment made by A?

A) Rs.5000    B) Rs.4000  C) Rs.3000    D) Rs.2000   E) Rs.3500

Ans: D

5. Three people P, Q and R started a business by investing in the ratio of 5 : 4 : 6. After 6 months, P added more than 20% of the initial investment and R withdraws half of the initial investment. If the profit share of Q is Rs.11400, then find the total profit at the end of the year.

A) Rs.39150    B) Rs.39250    C) Rs.39350    D) Rs.39900    E) Rs.39500

Sol:     P        :          Q           : R

(5x × 6) + (6x + 6) : 4x × 12 : (6x + 6) + (3x × 6)

11x : 8x : 9x

Ans: D

Ans: E

7. A started a business. After 6 months from the start of the business, B and C joined. The respective ratio between the investments of A, B and C was 2 : 3 : 4. If the A’s share in annual profit was Rs.230 more than B’s share, what was the total annual profit earned?

A) Rs.3630    B) Rs.3850    C) Rs.2530     D) Rs.2750    E) Rs.3080

Sol:    A        :         B        :       C

2x × 12 : 3x × 6 : 4x × 6

8. A and B started a business with the investments in the ratio of 2 : 7 respectively. After 6 months from the start of the business C joined and the respective ratio between the investments of B and C was 5 : 3. If the annual profit earned by them was Rs.7,548, what was the difference between B’s share and C’s share in the profit?

A) Rs.3332   B) Rs.2200     C) Rs.2600    D) Rs.2650    E) Rs.2250

Sol: A : B = 2 : 7, B : C = 5 : 3

A       :         B        :        C

10x : 35x : 21x 10x × 12 : 35x × 12 : 21x × 6

20x : 70x : 21x

Ans: A

9. A, B and C started a business with investments in the ratio of 7 : 6 : 8 respectively and the period for which they invested was in the respective ratio of 6 : 4 : 1. If the annual profit received was Rs.18,500, what was the difference between A’s share and the total share of B and C together?

A) Rs.2000     B) Rs.3000    C) Rs.3500    D) Rs.2500    E) Rs.4000

Sol:     A      :        B        :     C

7 × 6 : 6 × 4 : 8 × 1

21 : 12 : 4

Ans: D

10. A started a business. After 4 months from the start of the business, B and C joined. The respective ratio between the amounts invested by A, B and C was 3 : 13 : 14. If the C’s share in annual profit was Rs.760 more than A’s share, what was the total annual profit earned?

A) Rs.3040     B) Rs.4000      C) Rs.2640     D) Rs.2520     E) Rs.2320

Sol:  A      :      B     :       C

3x × 12 : 13x × 8 : 14x × 8

Ans: D

11. A and B started a business with the investments in the ratio of 7 : 4 respectively. After 4 months from the start of the business C joined and the respective ratio between the investments of B and C was 2 : 3. If the annual profit earned by them was Rs.4,050, what was the difference between B’s share and A’s share in the profit?

A) Rs.810    B) Rs.460    C) Rs.720     D) Rs.1020    E) Rs.960

Sol:   A    :    B    :   C

7x : 4x

2x : 3

7x × 12 : 4x × 12 : 6x × 8

7x        : 4x         :   4x

Ans: A

12. A started a business. After 6 months from the start of the business, B and C joined. The respective ratio between the investments of A, B and C was 6 : 5 : 10. If A’s share in annual profit was Rs.2,100 more than B’s share, what was the total annual profit earned?

A) Rs.9,450   B) Rs.6,750    C) Rs.8,100   D) Rs.5,400    E) Rs.10,800

Sol:  A     :      B     :     C

6x × 12 : 5x × 6 : 10x × 6

Ans: C

13. A, B and C invest in a business and the share of their investments are in the respective ratio of 0.5 : 0.25 : 0.125. After 4 months from the start of the business, C withdraws half of his investment. If at the end of the year profit recorded was Rs.11,400, how much was B’s profit share?

A) Rs.1,200    B) Rs.3,140    C) Rs.3,200    D) Rs.1,140     E) Rs.3,040

Sol:   A     :      B     :      C

0.5x 0.25x 0.125x

2x : 1x : 1x 2x × 12 : 1x × 12 : 1x × 6 + 0.5x × 6

28x : 4x : 3x

Ans: E

14. A started a business by investing Rs.18,000. At the end of 6th month from the start of the business B joined with Rs.16,000 and at the end of 8th month from the start of the business C joined with Rs.12,000. If the B’s share in profit at the end of the year was Rs.6,320, what was the total profit received?

A) Rs.24,600     B) Rs.25,200    C) Rs.23,850    D) Rs.20,250    E) Rs.23,700

Sol:   A     :     B     :     C

18000 × 12 : 16000 × 6 : 12000 × 4

9     : 4     :      2

Ans: E

Posted Date : 02-02-2023

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