A)6000, Rs.800

B)4000, Rs.500

C)3000, Rs.600

D)12000, 1200

A.All A, B, C and D

B.Only A

C.Only A, B and C

D.Only A and C

E.Only A, C and D

2) P, Q and R started a business by investing an amount of Rs. 45000, Rs. 60000 and Rs. 70000 respectively. After 3 months, P withdraws 40 % of his initial investment and R invested 20 % more of his initial investment. And after another 3 months, Q withdraws 30 % of his initial investment. Find the total profit at the end of the year, if the share of Q is Rs. 61200?

A.Rs. 167000

B.Rs. 184200

C.Rs. 195600

D.Rs. 175600

E.None of these

3) A, B and C entered into a business plan with their investments in the ratio 4: 6: 9 respectively. After 2 months, A withdraws his whole amount, B withdraws 1/4^thof his amount and C doubles his amount. After another 4 months, C withdraws 4/9^th of his amount, B doubles from his initial investment and A re-enters into business with an amount equal to his initial amount. Find the ratio of profit of A, B, and C.

A.15:51:65

B.16:49:75

C.16:51:65

D.16:51:75

E.18:58:75

4) If A, B and C started the business with the investment of Rs.4000, Rs.6000 and Rs.8000 respectively and after x months, D joined with the investment of Rs.y. The profit share of A and D is same, then find the value of y?

A)6000

B)4000

C)3000

D)8000

A.All A, B, C and D

B.Only B and C

C.Only C

D.Only B, C and D

E.Only A and D

5) P and Q started a business by investing Rs. 120000 and Rs. 100000 respectively. After some period, R joined with them and R invested Rs. 30000 more than the initial investment of P. Find the period of time R invested the amount, if the share of P is Rs. 156000 out of total profit at the end of the year of Rs. 383500?

A.9 months

B.8 months

C.7 months

D.6 months

E.None of these

Answers :

1) Answer: E

Profit ratio of Rahul, Renu and Rajesh

= (9000 * 9 + 15000 * 3): (12000 * 9 + (12000 + x ) * 3): (6000 * 12)

= 126000: (144000 + 3x): 72000

From option (A)

126000: (144000 + 18000): 72000 = 126: 162: 72

= 7: 9: 4

Difference profit share of Renu and Rahul = 2/4 * 1600 = 800

This satisfies the given condition.

From option (B)

126000: (144000 + 12000): 72000 = 126: 156: 72

= 21: 26: 12

Difference profit share of Renu and Rahul = 5/12 * 1600 = Rs.666

This doesn’t satisfy the given condition.

From option (C)

126000: (144000 + 9000): 72000 = 126: 153: 72

=14:17:8

Difference profit share of Renu and Rahul =3/8 * 1600 = Rs.600

This satisfies the given condition.

From option (D)

126000: (144000 + 36000): 72000 = 126: 180: 72

= 14: 20: 8

= 7: 10: 4

Difference profit share of Renu and Rahul = ¾ * 1600 = 1200

This satisfies the given condition.

2) Answer: C

The ratio of share of P, Q and R

= > [45000*3 + 45000*(60/100)*9]: [60000*6 + 60000*(70/100)*6]: [70000*3 + 70000*(120/100)*9]

= > 378000: 612000: 966000

= > 63: 102: 161

The share of Q = Rs. 61200

102’s = 61200

1’s = 600

Total profit = 326’s = Rs. 195600

3) Answer: D

Ratio of profits = Ratio of amount*time

Let, initial amounts of A, B and C be 4x, 6x and 9x

Profit ratio = (4x*2 + 4x*6): (6x*2 + 4.5*4 + 12x*6): (9x*2 + 18x*4 + 10x*6)

= (8x + 24x): (12x + 18x + 72x): (18x +72x + 60x) = (32x): (102x): (150x) = 16:51:75

4) Answer: E

Profit ratio of A, B, C and D

= (4000 * 12): (6000 * 12): (8000 * 12): [(12 – x) * y]

(12 – x) * y = 4000 * 12

(12 - x ) * y = 48000

Possible months of the investment of D is 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1

48000/y = 12 – x

From (A)

48000/6000 = 12 – x

x = 4 months

This satisfied the given condition.

From (B)

48000/4000 = 12 – x

12 = 12 – x

X = 0

This is not satisfied the given condition.

From (C)

48000/3000 = 12 – x

16 = 12 – x

x = -4

This is not satisfied the given condition.

From (D)

48000/8000 = 12 – x

6 = 12 – x

x = 6

This satisfied the given condition.

5) Answer: D

The share of P, Q and R,

= > 120000 * 12 : 100000 * 12 : 150000 * x

= > 48 : 40 : 5x

Given,

(48 / (40 + 5x)) = (156000 / 227500)

910 = 520 + 65x

390 = 65x

x = 6

The period of time R invested the amount was 6 months.