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21. A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?
Solution:
22. Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?
= (70,000 x 36) : (1,05,000 x 30) : (1,40,000 x 24)
= 12 : 15 : 16
Solution:
Aman : Rakhi : Sagar= (70,000 x 36) : (1,05,000 x 30) : (1,40,000 x 24)
= 12 : 15 : 16
23. Arun, Kamal and Vinay invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. Arun left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of Kamal?
Solution:
24. Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit?
Solution:
25. Sumit and Ravi started a business by investing Rs. 85000 and Rs. 15000 respectively. In what ratio the profit earned after 2 years be divided between Sumit and Ravi respectively.
P : Q = 85000 : 15000 = 17 : 3
Important to note there that if both have invested for different period of times then we had to multiply with number of months to get the desired ratio.
Solution:
Note: If you have clear concept of ratio and proportion chapter then it will really easy for you to solve partnership problems.P : Q = 85000 : 15000 = 17 : 3
Important to note there that if both have invested for different period of times then we had to multiply with number of months to get the desired ratio.
26. Rs. 700 is divided among A, B, C so that A receives half as much as B and B half as much as C. Then C's share is
Then B =
and A =
A : B : C = 1 : 2 : 4
C's share =
Solution:
Let C = xThen B =
and A =
A : B : C = 1 : 2 : 4
C's share =
27. Anand and Deepak started a business investing Rs.22,500 and Rs.35,000 respectively. Out of a total profit of Rs. 13,800. Deepak's share is
= 22500 : 35000
= 9 : 14
Deepak's share
Solution:
Ratio of their shares= 22500 : 35000
= 9 : 14
Deepak's share
28. A started a business with Rs. 21,000 and is joined afterwards by B with Rs. 36,000. After how many months did B join if the profits at the end of the year are divided equally?
then,
21000 × 12 = 36000 × (12 - x)
⇒ 36x = 180
⇒ x = 5
Solution:
Suppose B joined after x monthsthen,
21000 × 12 = 36000 × (12 - x)
⇒ 36x = 180
⇒ x = 5
29. Nirmal and Kapil started a business investing Rs. 9000 and Rs. 12000 respectively. After 6 months, Kapil withdrew half of his investment. If after a year, the total profit was Rs. 4600, what was Kapil’s share initially ?
= 9000 × 12 : (12000 × 6 + 6000 × 6)
= 1 : 1
Kapils share
Solution:
Nirmal : Kapil= 9000 × 12 : (12000 × 6 + 6000 × 6)
= 1 : 1
Kapils share
30. Manoj received 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.120000 for 6 months, whereas Ramesh invested his amount for the whole year, what was the amount invested by Ramesh
Manoj : Ramesh = 120000 × 6 : x × 12.
Solution:
Suppose Ramesh invested Rs. x. Then, Manoj : Ramesh = 120000 × 6 : x × 12.