# Partnership - 3

1. Prashanth invested Rs.7800 in a business for 8 months and left, Mahesh invested Rs.X for the rest of the months and profit share of Mahesh at end of year is Rs.3000 and total profit is Rs.6900. Find the value of X.

A) Rs.9000   B) Rs.7800    C) Rs.14400    D) Rs.10000    E) Rs.12000

Sol: Prashanth   :   Mahesh

7800 × 8         X × 4

⇒ x = 12,000

Ans: E

2. A and B started a business by investing Rs.2750 and Rs.3000 respectively and the respective ratio of profits of A to B is 11 : 18. Find the respective ratio of time period of investments of A and B.

A) 1 : 2    B) 5 : 7    C) 3 : 2    D) 11 : 36    E) 2 : 3

Ans: E

3. Krishna starts a business with Rs.7,000 and after 10 months Krishna joins Venu as his partner. After 5 years the profit is divided in the ratio of 1 : 1. What is Venu’s contribution in the capital?

A) Rs.9400    B) Rs.9200   C) Rs.7400    D) Rs.8800    E) Rs.8400

x = 8400 (Venu's investment)

Ans: E

4. Tanuja invested 50% more than Hema, Hema invested 20% less than Jayanth. If the total sum of their investments is Rs.30,000, how much amount did Jayanth invest? (In Rs.)

A) 11700    B) 12500    C) 9850    D) 12000    E) 10000

Sol: Tanuja     :      Hema    :      Jayanth

120x        :     80x       :     100x

6x           :           4x    :       5x

15x  → 30000

5x → ?

Ans: E

5. A and B started a business with initial investments in the respective ratio of 20 : 9. After six months from the start of the business, A invested Rs.5000 more and B invested Rs.3000 more. At the end of one year, if the profit was distributed among them in the ratio of 11 : 5 respectively, what was the total initial investment with which A and B started the business?

A) Rs.1,80,000    B) Rs.1,16,000    C) Rs.1,50,000    D) Rs.1,25,000    E) Rs.90,000

Sol:   A                     :               B

20x × 6 +           :             9x × 6 +

(20x + 5000) × 6             (9x + 3000) × 6

20x + 20x + 5000   :    9x + 9x + 3000

40x + 5000       :         18x + 3000

200x + 25000 = 198x + 33000

2x = 8000 ⇒ x = 4000

Initial investment = 20x + 9x = 29x

= 29 × 4000 = 116000

Ans: B

6. P started a business. After 3 months from the start of the business Q and R joined. The respective ratio between the amounts invested by P, Q and R was 7 : 12 : 14. If the R’s share in annual profit was Rs.840 more than P’s share, what was the total annual profit earned?

A) Rs.7200    B) Rs.6360    C) Rs.8100    D) Rs.7700      E) Rs.3880

Sol:   P            :           Q       :            R

7x × 12      :     12x × 9    :      14x × 9

14x            :        18x       :        21x

21x − 14x = 7x

7x → 840

53x → ?

Ans: B

A) Rs.2100    B) Rs.1250    C) Rs.2250    D) Rs.2440    E) Rs.5000

Sol:  P     :         Q        :         R

(LCM of 25, 15, 10 = 150)

6x × 8 + 30x × 4  :  10x × 8 + 5x × 4 : 15x × 12

12x + 30x         :    20x + 5x          :      45x

42x                :      25x               :       45x

112x → 5600

45x → ?

Ans: C

8. A and B invested a sum of Rs.6300 and Rs.7200 respectively in their business. After a few months, B withdrew 25% of his investment. If at the end of the year A received Rs.7000 profit out of Rs.13,500, then find after how many months did B withdraw 25% of his investment?

A) 9     B) 5    C) 8     D) 3    E) 6

Sol:   A           :          B

6300 × 12     :     7200 × x + 5400 × (12 − x)

42            :           x + 36

x + 36 = 39

x = 3 months

Ans: D

9. P and Q started a business with an investment of Rs.4,200 and 5,600 respectively. After 3 months R joined with Rs.3,500. If the difference between R’s share and P’s share in the annual profit was Rs.1,800. What was the total annual profit? (In Rs.)

A) 11,200     B) 14,400     C) 14,200    D) 12,500    E) 12,800

Sol:             P        :        Q          :           R

4200 × 12       :   5600 × 12   :       3500 × 9

24             :        32         :           15

24 − 15 = 9 Parts → 1800

= 71 Parts → ?

Ans: C

10. P and R started a business and Q joined after 3 months from the start of the business. The respective ratio between the investments of P, Q and R was 5 : 8 : 8. If Q’s share in annual profit was Rs.340 more than P’s share, what was the total annual profit earned?

A) Rs.6,460    B) Rs.4,880    C) Rs.5,400    D) Rs.5,600   E) Rs.3,600

Sol:     P         :         R         :        Q

5x × 12         8x × 12          8x × 9

5x           :           8x       :           6x

6x − 5x = 340

x → 340

19x → ?

Ans: A

11. P started a business with an investment of Rs.16,000. After 3 months Q joined with Rs.20,000 and R joined with Rs.12,000. At the end of 6th month from start of the business, if all of them withdrew half of their initial investments, what is the respective ratio in which the profit should be distributed among P, Q and R at the end of 12th month?

A) 6 : 5 : 3     B) 3 : 1 : 4     C) 5 : 6 : 2    D) 7 : 2 : 1    E) 4 : 3 : 2

Sol:        P       :         Q           :       R

16000 × 6 +  :   20000 × 3 + : 12000 × 3 +

8000 × 6       10000 × 6        6000 × 6

6            :          5           :          3

Ans: A

A) Rs.13,110     B) Rs.6,555    C) Rs.14,200    D) Rs.15,400     E) Rs.11,800

13. A, B, C invested Rs.36,000, Rs.30,000 and Rs.42,000 respectively and started a business. After 6 months each one of them invested additional amounts of Rs.8,000, Rs.10,000 and Rs.16,000 respectively. If C’s share in the profit at the end of the year was Rs.55,000, what was the total profit earned at the end of one year? (In Rs.)

A) 1,40,500     B) 1,50,250    C) 1,25,500     D) 1,40,500    E) 137500

Sol:          A        :          B           :         C

36000 × 6 +       :    30000 × 6 + : 42000 × 6 +

44000 × 6              40000 × 6      58000 × 6

8               :          7         :           10

10 parts → 55000

25 parts → ?

Ans: E

14. P, Q and R enter into a partnership. P invests Rs.15000 for the whole year, Q puts in Rs.8000 at the first and increasing to Rs.12000 at the end of 6 months, while R puts in at first Rs.20000 but withdraw Rs.6000 at the end of 8 months. Find the profit of P at the end of year, if the total profit is Rs.45150.

A) Rs.4800    B) Rs.4600    C) Rs.4750    D) Rs.15750     E) Rs.4500

Sol:    P         :         Q            :           R

15000 × 12      8000 × 6 +        20000 × 8 +

12000 × 6             14000 × 4

15          :           10          :          18

43 parts→ 45150

15 parts → ?

Ans: D

15. Prame and Lucky started a business with an initial investment of Rs.K and Rs.3400 respectively, if the profit share of Prame and Lucky at the end of the 16 months in the respective ratio is 14 : 17, and then find the value of the (3K − 2700)?

A) 4700    B) 5600     C) 6700    D) 5800     E) 5700​​​​​​​

Sol:    Prame     :       Lucky

K × 16             3400 × 16

Ans: E

Posted Date : 25-02-2023

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