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9.

A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the First year, B withdraws Rs. Rs. 40,000, while at the end of 2 year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of three years?
(a)3 : 4 : 7
(b)3 : 5 : 7
(c)7 : 2 : 7
(d)3 : 7 : 4
Answer is: ALet A : B : C = (40000 x 36) : (80000x12 + 40000x24) : (120000x24 + 40000x12)
A : B : C = 144 : 192 : 396 = 3 : 4 : 7

10.

A, B and C entered a partnership investing Rs. 16,000 and Rs. 12000 respectively. After 3 months, A withdraws Rs. 5000 while B invested Rs. Rs. 5000 more. After 3 months C joined the business with a capital of Rs. 21000. The share of B exceeds that of C, out a total profit of Rs. 26,400 after one year by?
(a)3000
(b)3300
(c)3600
(d)3700
Answer is: CA : B : C = (16000x3 + 1100x9) : (12000x3 + 17000x9) : (21000x6)
A : B : C = 147 : 189 : 126 = 7 : 9 : 6
∴ Difference of B's and C's shares = Rs. [26400 x (9-6)/22] = Rs. 3600.

11.

A, B and C subscribe Rs. 50000 for a business. A subscribe Rs. 4000 more than B and B Rs. 5000 more than C. out of a total profit of Rs. 35000 A receives?
(a)14000
(b)14300
(c)14500
(d)14700
Answer is: DLet C = X. Then B = X + 5000 and
A = X + 5000 + 4000 = X + 9000
So, X + X + 5000 + X + 9000 = 50000
3 X = 36000
X = 12000
A: B: C = 21000: 17000: 12000 =21: 17: 12
= ( 21 + 17 +12) = 50
∴ A's share = Rs. (35000 x 21/50 ) = 14,700.

12.

Three partners A, B and C start a business. Twice A's capital is equal to thrice B's capital and B's capital is four times C's capital. Out of a total profit of Rs. 16500 at the end of the year, B's share is?
(a)5000
(b)5500
(c)6000
(d)6500
Answer is: CLet C = X. Then B = 4X,
2A = 3 x 4X = 12X
A = 6X
∴ A: B : C = 6X : 4X : X = 6 : 4 : 1
So, B's capital = Rs. (16500 x 4/11) = Rs. 6000

13.

If 4 ( A's capital ) = 6 ( B's capital ) = 10 ( C's capital ), then out of a profit of Rs. 4650, C will receive?
(a)900
(b)1000
(c)800
(d)600
Answer is: ALet, 4 A = 6 B = 10 C = k
Then, A = k/4 , B = k/6 , and C = k/10
∴ A : B : C = k/4 ∶ k/6 ∶ k/10 = 12 : 10 : 6
Hence, C's share = Rs. ( 4650 x 6/31 ) = Rs. 900

14.

A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months and C invests thrice the amount after 8 months. If the annual profit be Rs. 27000, C's share is?
(a)9000
(b)8000
(c)7000
(d)6000
Answer is: ALet, A's investment be Rs. X
Then, Ratio of capitals = ( X x 12 ) : ( 2X x 6 ) : (3X x 4 ) = 12X : 12X : 12X
So, Ratio of capitals = 1 : 1 : 1
∴ C's share = Rs. ( 27000 x 1/3 ) = Rs. 9000.

15.

In a business, A and C invested amounts in the ratio 2 : 1, whereas the ratio between amounts invested by A and B was 3 : 2. If Rs. 1,57,300 was their profit, how much amount did B receive?
(a)48000
(b)48200
(c)48600
(d)48400
Answer is: DLet, A : B = 3 : 2 ⇒ B : A = 4 : 6 and A : C = 2 : 1 = 6 : 3
So, B : A : C = 4 : 6 : 3 or A : B : C = 6 : 4 : 3
∴ B's share = Rs. ( 157300 x 4/13 ) = Rs. 48400.

16.

A, B and C enter into a partnership and their shares are in the ratio 1/2 ∶ 1/3 ∶ 1/4 . After 2 months, A withdraws half of his capital and after 10 months, a profit of Rs. 378 is divided among them. What is B's share ?
(a)140
(b)142
(c)144
(d)146
Answer is: CRatio of initial investments = 1/2 ∶ 1/3 ∶ 1/4 = 6 : 4 : 3
Let their initial investments be 6X, 2X and 3X respectively
A : B : C = ( 6Xx2 + 3Xx10 ) : ( 4Xx12) : ( 3Xx12 )
A : B : C = 42 : 48 : 36 = 7 : 8 : 6
∴ B's share = Rs. ( 378 x 8/21 ) = Rs. 144.

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