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- 6. A, B and C enter in partnership. A invests some money at the beging, B invests double the amount after 6 months and C invests thrice the amount after 8 months. If the annual profit be Rs 39,000/-, C’s Share is:

A.Rs. 12655/-

B.Rs. 13,000/-

C.Rs. 9000/-

D.Rs. 10800/-

Answer & Explanation

Answer: Option B

Explanation:**Suppose A, B, C invest Rs. X, Rs. 2x and Rs. 3x respectively**

A : B : C = (x * 12) : (2x * 6) : (3x * 4)

= 12x : 12x : 12x = 1: 1: 1

C’ Share = Rs. (39000 * 1/3) =Rs. 13000/-

A : B : C = (x * 12) : (2x * 6) : (3x * 4)

= 12x : 12x : 12x = 1: 1: 1

C’ Share = Rs. (39000 * 1/3) =Rs. 13000/-

- 7. A, B and C entered into a partnership. A invested Rs. 2,560/- and B invested Rs. 1105/-, out of which A got Rs 320. C’s capital was

A.Rs. 2840/-

B.Rs. 4028/-

C.Rs. 4280/-

D.Rs.4820/-

Answer & Explanation

Answer: Option C

Explanation:**Let A : B : C = 2560 : 2000 : x. Then,**

A’s share = [1105 * 2560/(4560 + x)]

Therefore (1105 * 2560)/(4560+x) = 320 => 4560 + x = (1105 * 2560)/320 = 8840

= x = 8840 – 4560 = Rs. 4280/-

Hence, C’s capiatal Rs 4280/-

A’s share = [1105 * 2560/(4560 + x)]

Therefore (1105 * 2560)/(4560+x) = 320 => 4560 + x = (1105 * 2560)/320 = 8840

= x = 8840 – 4560 = Rs. 4280/-

Hence, C’s capiatal Rs 4280/-

- 8. Ravi, Ramu and Raja are three partners in business. If Ravi’s capital is equal to twice Ramu’s capital and Ramu’s capital is three times Raja’s capital, the ratio of the capitals of Ravi, Ramu, Raja is

A.2:1:3

B.1:2:6

C.6:3:1

D.1:3:6

Answer & Explanation

Answer: Option C

Explanation:**Let Raja’s capital be Rs. X. Then,**

Ramu’s capital = Rs 3x and A’s capital = Rs. 6x

Ravi : Ramu : Raja = 6x : 3x : x = 6 : 3 : 1

Ramu’s capital = Rs 3x and A’s capital = Rs. 6x

Ravi : Ramu : Raja = 6x : 3x : x = 6 : 3 : 1

- 9. Three partners A, B, C in a business invested money such that 5(A’s capital) = 7(B’s capital) = 9(C’s capital) then, The ratio of their capitals is

A.63 : 45 : 34

B.63 : 54 : 34

C.36 : 54 : 28

D.63 : 45 : 35

Answer & Explanation

Answer: Option D

Explanation:**Let 5(A’s capital) = 7(B’s capital) = 9(C’s capital) = Rs.x**

Then, A’s capital = Rs x/5, B’s capital = Rs. x/7 and C’s capital = Rs. x/9.

A : B : C = x/5 : x/7 : x/9

63 : 45 : 35

Then, A’s capital = Rs x/5, B’s capital = Rs. x/7 and C’s capital = Rs. x/9.

A : B : C = x/5 : x/7 : x/9

63 : 45 : 35

- 10. P, Q, R enter into partnership and their capitals are in the proportion 1/3 : 1/4 : 1/5. P withdraws half his capital at the end od 4 months. Out of total annual profit of Rs. 8470/-, P’s share is:

A.Rs. 2520/-

B.Rs. 2800/-

C.Rs. 3150/-

D.Rs. 4120/-

Answer & Explanation

Answer: Option B

Explanation:**Ratio of capitals in the beginning = 1/3 : 1/4 : 1/5 = 20 : 15 :12**

Suppose A, B, C invest Rs 20x, Rs 15x and Rs 12x Respectively

A : B : C = (20x * 4 + 10x * 8) : (15x * 12) : (12x * 12)

= 160x : 180x : 144x = 160 : 180 : 144 = 40 : 45 : 36

A’s Share = Rs(8470 * 40/125) = Rs 2800/-

Suppose A, B, C invest Rs 20x, Rs 15x and Rs 12x Respectively

A : B : C = (20x * 4 + 10x * 8) : (15x * 12) : (12x * 12)

= 160x : 180x : 144x = 160 : 180 : 144 = 40 : 45 : 36

A’s Share = Rs(8470 * 40/125) = Rs 2800/-

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