Study the following information carefully and answer the given questions?

The following bar graph shows the amount (In thousands) invested by six different persons.

1) A and C started a business. After 6 months, P joined with them by investing Rs. 25000 more than the amount invested by B but C withdraw the whole amount and leave the partnership. Find the share of P, if the share of A and C together at the end of the year is Rs. 800000?

a) 400000

b) 250000

c) 500000

d) Rs. 350000

e) None of these

2) B, E and Q together started a business by investing in the ratio of 5 : 11 : 7. After 8 months, Q is replaced by A. And after another 2 months, B invested Rs. 20000 more. Find the total profit at the end of the year, if the share of B and Q together is Rs. 295000?

a) 575500

b) 625500

c) 595000

d) Rs. 685000

e) None of these

3) A and F together started a business. After 4 months, A left the business and at the same time E enters into a business. F left the business after 2 months of A left the business. E invested the amount for x months only. Out of the total profit of Rs. 636000 for the certain period, F received the share of Rs. 234000. Find the value of x?

a) 9

b) 6

c) 10

d) 8

e) None of these

4) C and F started a business. After 3 months, R and S joined with them by investing 20 % and 40 % more than the amount invested by B respectively. And after another 6 months, C and S invested some amount which is in the ratio of 2 : 3. Find the additional amount invested by S after 9 months, if the share of C and R is in the ratio of 11 : 6?

a) Rs. 30000

b) Rs. 15000

c) Rs. 45000

d) Rs. 24000

None of these

5) A, B and D started a business. After 6 months, A invested Rs. 40000 more and also C entered into a partnership. And after another 3 months, D withdraw the whole amount and leave the partnership. Find the share of B, if the total profit at the end of the year is Rs. 364000?

a) Rs. 108000

b) Rs. 100000

c) Rs. 80000

d) Rs. 94000

e) None of these

Answers :

1) Answer: B

The share of A, C and P,

= > [120000 * 12] : [160000 * 6] : [125000 * 6]

= >48 : 32 : 25

The share of A and C together = Rs. 800000

80’s = 800000

1’s = 10000

The share of P = 25’s = Rs. 250000

2) Answer: D

The amount invested by Q = (100000 / 5) *  7 = Rs. 140000

The share of B, E, Q and A,

= > [100000 * 10 + 120000 * 2] : [220000 * 12] : [140000 * 8] : [120000 * 4]

= > [1000000 + 240000] : [2640000] : [1120000] : [480000]

= > [1240000] : [2640000] : [1120000] : [480000]

= >31 : 66 : 28 : 12

The share of B and Q = Rs. 295000

59’s = 295000

1’s = 5000

The total profit = 137’s = Rs. 685000

3) Answer: C

The share of A, F and E,

= > [120000 * 4] : [260000 * 6] : [220000 * x]

= >24 : 78 : 11x

According to the question,

= > [102 + 11x] / [78] = (636000 / 234000)

= > [102 + 11x] / [78] = (106/39)

= > 102 + 11x = 212

= > 11x = 110

= > x = 10

4) Answer: A

The share of C, F, R and S,

= > [160000 * 9 + (160000 + 2x) * 3] : [260000 * 12] : [120000 * 9] : [140000 * 6 + (140000 + 3x) * 3]

= > [1440000 + 480000 + 6x] : [3120000] : [1080000] : [840000 + 420000 + 9x]

= > [1920000 + 6x] : [3120000] : [1080000] : [1260000 + 9x]

According to the question,

= > (1920000 + 6x) / 1080000 = (11/6)

= > 1920000 + 6x = 1980000

= > 6x = 60000

= > x = 10000

The additional amount invested by S after 9 months

= > 3x = Rs. 30000

5) Answer: C

The share of A, B, D and C,

= > [120000 * 6 + 160000 * 6] : [100000 * 12] : [180000 * 9] : [160000 * 6]

= > [720000 + 960000] : [1200000] : [1620000] : [960000]

= > [1680000] : [1200000] : [1620000] : [960000]

= >28 : 20 : 27 : 16

Total profit = Rs. 364000

91’s = 364000

1’s = 4000

The share of B = 20’s = Rs. 80000