Partnership ( 21 to 25 )

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Partnership ( 21 to 25 ):


21. P and Q started a business with initial investments in the ratio 14:15 and their annual profits were in the ratio 7:6. If P invested the money for 10 months, for how many months did Q invest his money?

A) 2

B) 3

C) 8

D) 1

E) None of these

View Answer

Answer is C

Suppose P invested Rs.14x for 10 months and Q invested Rs.15x for y months. Then,
14x*10/15x* y = 7/6 <=> y = 840/105 = 8
Hence, Q invested the money for 8 months.


22. Sita started a software business by investing Rs.50000. After six months, Naman joined her with a capital of Rs.80000. After 3 years, they earned profit of Rs.24500. What was Sita’s share in the profit?

A) Rs.9423

B) Rs.10500

C) Rs.12500

D) Rs.14000

E) None of these

View Answer

Answer is B

Sita: Naman = (50000 * 36): (80000 * 30) = 3: 4
∴ Sita’s share = Rs. 24500*(3/7)=Rs.10500


23. C, D, E enter into a partnership investing Rs.35000, Rs.45000 and Rs.55000 respectively. The respective shares of C, D, E in an annual profit of Rs.43200 are:

A) Rs.11200, Rs.14400, Rs.17600

B) Rs.11500, Rs.13000, Rs.16000

C) Rs.11000, Rs.14000, Rs.15500

D) Rs.11500, Rs.12500, Rs.16500

E) None of these

View Answer

Answer is A

C: D: E = 35000: 45000: 55000 = 7: 9: 11
C’s share = Rs. 43200*(7/27)=Rs.11200
D’s share = Rs. 43200*(9/27) = Rs.14400
E’s share = Rs. 43200*(11/27)=Rs.17600


24. Three partners P, Q, R start a business. Twice P’s capital is equal to thrice Q’s capital and Q’s capital is four times R’s capital. Out of a total profit of Rs.16500 at the end of the year, Q’s share is:

A) Rs.4000

B) Rs.6000

C) Rs.7500

D) Rs.6600

E) None of these

View Answer

Answer is B

Let R = x. Then, Q = 4x and 2P = 3 * 4x = 12x or P = 6x
∴ P: Q: R = 6x: 4x: x = 6: 4: 1
So, Q’s capital = Rs. 16500*(4/11)=Rs.6000


25. A, K and V invested Rs.8000, Rs.4000 and Rs.8000 respectively in a business. A left after six months. If after seven months, there was a gain of Rs.4950, then what will be the share of K?

A) Rs.1100

B) Rs.1200

C) Rs.1300

D) Rs.1050

E) None of these

View Answer

Answer is D

A: K: V = (8000 * 6): (4000 * 7): (8000 * 7) = 48: 28: 56 = 12: 7: 14
∴ K’s share = Rs. 4950*(7/33)=Rs.1050


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