Question of maths

Maths ke Funde, Without Dande…
Quantitative Techniques
PARTNERSHIP
BY :- B S SHANTI
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Questions for Practice…
1. A, B and C invested in the ratio 1 : 2 : 3; the timing of their
investments being in the ratio 1 : 2 : 3. In what ratio would their profit
be distributed?
(a) 3 : 2 : 1
(b) 1 : 2 : 3
(c) 1 : 4 : 9
(d) 9 : 4 : 1
(e) None of these

2. A, B and C invested in the ratio 2 : 5 : 7; the timing of their
investments being in the ratio 3 : 4 : 5. In what ratio would their profit
be distributed?
(a) 2 : 10 : 15 (b) 15 : 10 : 2 (c) 6 : 20 : 35
(d) 6 : 20 : 15 (e) None of these

3. A, B and C invested capitals in the ratio 4 : 5 : 6. At the end of the
business term, they received the profits in the ratio 2 : 3 : 4. Find the
ratio of time for which they contributed their capitals.
(a) 6 : 5 : 8 (b) 6 : 5 : 9 (c) 10 : 12 : 9
(d) 15 : 18 : 20 (e) None of these

4. A, B and C invested capitals in the ratio 4 : 6 : 9. At the end of the
business term, they received the profits in the ratio 2 : 3 : 5. Find the
ratio of time for which they contributed their capitals.
(a) 1 : 1 : 9 (b) 2 : 2 : 9 (c) 10 : 10 : 9
(d) 9 : 9 : 10 (e) None of these

5. A, B and C invest their capitals in a business. If the ratio of their periods of
investments are 2 : 3 : 6 and their profits are in the ratio of 4 : 5 : 6. Find
the ratio in which the investments are made by A, B and C.
(a) 9 : 10 : 12 (b) 4 : 5 : 6 (c) 8 : 5 : 12
(d) 6 : 5 : 3 (e) None of these

6. A, B and C invest their capitals in a business. If the ratio of their periods of
investments are 7 : 3 : 5 and their profits are in the ratio of 2 : 1 : 2. Find the
ratio in which the investments are made by A, B and C.
(a) 30 : 35 : 42 (b) 7 : 6 : 10 (c) 42 : 30 : 35
(d) 42 : 25 : 35 (e) None of these

7. A and B enter into a partnership with their capitals in the ratio 5 : 9. At the
end of 8 months, A withdraws his capital. If they receive the profits in the ratio
4 : 9, find how long B’s capital was used?
(a) 10 months (b) 9 months (c) 8 months
(d) 4 months (e) None of these

8. A started a business by investing Rs. 2700. After sometime B joined him by
investing Rs. 2025. At the end of one year, the profit was divided in the ratio 2 :
1. After how many months did B join the business?
(a) 4 months (b) 6 months (c) 3 months
(d) 2 months (e) None of these

9. A starts a business with Rs. 1000. B joins him after 6 months with Rs. 4000.
C puts a sum of Rs. 5000 for 4 months only. At the end of the year the business
gave a profit of Rs. 2800. How should the profit be divided among them?
(a) Rs. 600, Rs. 1200, Rs. 1000 (b) Rs. 800, Rs. 600, Rs. 1400
(c) Rs. 1000, Rs. 1200, Rs. 600 (d) Rs. 1200, Rs. 600, Rs. 1000
(e) None of these

10.A and B enter into a partnership for a year. A contributes Rs. 3000 and B Rs.
4000. After 4 months they admit C, who contributes Rs. 4500. If B withdraws
his contribution after 6 months, how would they share a profit of Rs. 1000 at
the end of the year?
(a) Rs. 250, Rs. 200, Rs. 550 (b) Rs. 150, Rs. 200, Rs. 650
(c) Rs. 375, Rs. 250, Rs. 375 (d) Data inadequate
(e) None of these

11.A, B and C enter into a partnership, A advances one-third of the capital for
one-third of the time. B contributes one-sixth of the capital for one-third of the
time C contributes the remaining capital for the whole time. How should they
divide a profit of Rs. 1200.
(a) Rs. 300, Rs. 200, Rs. 700 (b) Rs. 200, Rs. 100, Rs. 900
(c) Rs. 375, Rs. 250, Rs. 575 (d) Rs. 385, Rs. 255, Rs. 475
(e) None of these

12.Manoj got Rs. 6000 as his share out of the total profit of Rs. 9000 which he
and Ramesh earned at the end of one year. If Manoj invested Rs. 20000 for 6
months, whereas Ramesh invested his amount for the whole year, the amount
invested by Ramesh was
(a) Rs. 60000 (b) Rs. 10000 (c) Rs. 40000 (d) Rs. 5000
(e) None of these

13.A and B enter into partnership investing Rs. 12000 and Rs. 16000
respectively. After 8 months, C also joins the business with a capital of Rs.
15000. The share of C in a profit of Rs. 45600 after 2 years will be
(a) Rs. 12000 (b) Rs. 14400 (c) Rs. 19200 (d) Rs. 21200
(e) None of these

14.Kishan and Nandan started a joint firm. Kishan’s investment was thrice the
investment of Nandan and the period of his investment was two times the
period of investment of Nandan. Nandan got Rs. 4000 as profit for his
investment. Their total profit if the distribution of profit is directly proportional
to the period and amount, is
(a) Rs. 24000 (b) Rs. 16000 (c) Rs. 28000 (d) Rs. 20000
(e) None of these

16.Two partners invest Rs. 26000 and Rs. 16250 respectively in a business and
agree that 40% of the profit should be divided equally between them and the
remaining profit is to be treated as interest on capital. If one partner gets Rs.
450 more than the other, find the total profit made in the business.
(a) Rs. 3250 (b) Rs. 3520 (c) Rs. 3230
(d) Rs. 3200 (e) None of these

17.A and B invested in the ratio 5 : 3 in a business. If 10% of the total profit
goes to charity and A’s share is Rs. 900, find the total profit.
(a) Rs. 1600 (b) Rs. 1400 (c) Rs. 1500 (d) Rs. 1800
(e) None of these

18.Three partners A, B and C together invested Rs. 14400 in a business. At the
end of the year, A got Rs. 1250, B got Rs. 2500 and C got Rs. 3750 as profit.
How much amount did C invest?
(a) Rs. 2400 (b) Rs. 4800 (c) Rs. 7200 (d) Rs. 9600
(e) None of these

19.Three partners A, B and C together invested Rs. 36000 in a business. At the
end of the year, A got Rs. 4200, B got Rs. 7000 and C got Rs. 9800 as profit.
How much amount did B invest?
(a) Rs. 7200 (b) Rs. 12000 (c) Rs. 16800 (d) Rs. 12500
(e) None of these

20.A puts Rs. 375 more in a business than B, but B has invested his capital for 4
months while A has invested his for 8 months. If the share of A is Rs. 75 more
than that of B out of the total profits of Rs. 125, find the capital contributed by
B?
(a) Rs. 750 (b) Rs. 375 (c) Rs. 735 (d) Rs. 573
(e) None of these

21.A and B invest Rs. 3000 and Rs. 4000 m in a business. A receives Rs. 10 per
month out of the profit as a remuneration for running the business and the
rest of profit is divided in proportion to the investments. If in a year ‘A’ totally
receives Rs. 390, what does B receive?
(a) Rs. 630 (b) Rs. 360 (c) Rs. 480 (d) Rs. 380
(e) None of these

Answer Key…
1. c 2. c 3. d 4. d 5. d 6. a 7. a 8. a 9. a 10. c
11. b 12. d 13. a 14. c 15. d 16. a 17. a 18. c 19. b 20. b
21. b

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