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Standard V

Mathematics

Addition of Unlike Fractions

Divide ₹ 4340...

Question

Divide ₹ 4340 between A, B and C so that A‘s share : B’s share : C’ share $= \frac{1}{2} ∶ \frac{1}{3} ∶ \frac{1}{5}$

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Solution

A,B and C so that A‘s share : B’s share : C’ share $= \frac{1}{2} ∶ \frac{1}{3} ∶ \frac{1}{5}$
Lcm of 2, 3, 5 is 30

$= \frac{1}{2} ∶ \frac{1}{3} ∶ \frac{1}{5} = \frac{1}{2} \times 30 ∶ \frac{1}{3} \times 30 ∶ \frac{1}{5} \times 30 = 15 ∶ 10 ∶ 6$

$A^{'} s s h a r e = \frac{15}{(15 + 10 + 6)} \times 4340 = ₹ 2100$

$B^{'} s s h a r e = \frac{10}{(15 + 10 + 6)} \times 4340 = ₹ 1400$

$C^{'} s s h a r e = \frac{6}{(15 + 10 + 6)} \times 4340 = ₹ 840$

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Similar questions

Q. Share of A , B and C respectively , is ______ , if Rs.4340 is divided in

\frac{1}{2} : \frac{1}{3} : \frac{1}{5}

A, B, and C are partners in the firm sharing profits in the ratio of 3 : 2 : 1. B retired and his share was divided equally between A and C. Calculate the new profit sharing ratio of A and C.

Q. A, B and C are partners sharing profits and losses in the ratio of 5 : 4 : 1. Calculate new profit-sharing ratio, sacrificing ratio and gaining ratio in each of the following cases:
Case 1. C acquires 1/5th share from A.
Case 2. C acquires 1/5th share equally form A and B.
Case 3. A, B and C will share future profits and losses equally.
Case 4. C acquires 1/10th share of A and 1/2 share of B.

A, B

and

C

are partners sharing profit and losses in the ratio

5 : 4 : 1

. Calculate new profit sharing ratio, sacrificing ratio in each of the following cases :
Case

1. C

acquires

1 / 5 t h

share from

A

.
Case

2. C

acquires

1 / 5 t h

share from

A

and

B

Case

3. A, B

and

C

will share future profits and losses equally.
Case

4. C

acquires

1 / 10 t h

share of

A

and

1 / 2

share of

B

Q. Find new Profit-Sharing Ratio:
(i)

R

and

T

are partners in a firm sharing profits in the ratio of

3 : 2

S

joins the firm.

R

surrenders

1 / 4^{t h}

of his share and

T

surrenders

1 / 5^{t h}

of his share in favour of

S

.
(ii)

A

and

B

are partners.They admit

C

for

1 / 4^{t h}

share. In future, the ratio between

A

and

B

would be

2 : 1

.
(iii)

A

and

B

are partners sharing profits and losses in the ratio of

3 : 2

. They admit

C

for

1 / 5^{t h}

share in profit.

C

acquires

1 / 5^{t h}

of his share from

A

and

4 / 5^{t h}

share from

B

.
(iv)

X, Y

and

Z

are partners in the ratio of

3 : 2 : 1

W

joins the firm as a new partners for

1 / 6^{t h}

share in profits.

Z

would retain his original share.
(v)

A

and

B

are equal partners. they admit

C

and

D

as partners with

1 / 5^{t h}

and

1 / 6^{t h}

share respectively.
(vi)

A

and

B

are partners sharing profits/losses in the ratio of

3 : 2

C

is admitted for

1 / 4^{t h}

share.

A

and

B

decide to share equally in future.

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Divide ₹ 4340 between A, B and C so that A‘s share : B’s share : C’ share =12∶13∶15

A,B and C so that A‘s share : B’s share : C’ share =12∶13∶15 Lcm of 2, 3, 5 is 30 =12∶13∶15=12×30∶13×30∶15×30=15∶10∶6 A′sshare=15(15+10+6)×4340=₹2100 B′sshare=10(15+10+6)×4340=₹1400 C′sshare=6(15+10+6)×4340=₹840

Divide ₹ 4340 between A, B and C so that A‘s share : B’s share : C’ share $= \frac{1}{2} ∶ \frac{1}{3} ∶ \frac{1}{5}$