Question

Ashok, Anil and Ajay are partners sharing profits and losses in the ratio of 1/2,3/10 and 1/5. Anil retires from the firm. Ashok and Ajay decide to share future profits in the ratio of 3:2. Calculate the Gaining ratio.​

Answer 1

Answer:

Answer: Hence, -2,-6 are negative integer pair whose difference is 4. Hence, negative integer is -1 and positive integer is 1 whose difference is -2. Hence, the negative integer is -8 and 2 is a positive integer

Step-by-step explanation:

Answer 2

Answer:

ANSWER :

\begin{gathered} \\ \end{gathered}

❖ If Ashok, Anil and Ajay are partners sharing profits and losses in the ratio of \sf{\dfrac{1}{2}}

2

1

, \sf{\dfrac{3}{10}}

10

3

and \sf{\dfrac{1}{5}}

5

1

and on the retirement of Anil, Ashok and Ajay decide to share future profits in the ratio of 3 : 2; then the Gaining Ratio of Ashok and Ajay will be 1 : 2.

___________________________________________________________

SOLUTION :

\begin{gathered} \\ \\ \end{gathered}

❒ Given :-

Ashok, Anil and Ajay are partners sharing profits and losses in the ratio of \sf{\dfrac{1}{2}}

2

1

, \sf{\dfrac{3}{10}}

10

3

and \sf{\dfrac{1}{5}}

5

1

.

After the retirement of Anil, Ashok and Ajay decide to share future profits in the ratio of 3 : 2.

❒ To Calculate :-

Gaining Ratio of Ashok and ajay = ?

____________________________________________

❒ Calculation :-

\begin{gathered} \\ \end{gathered}

It is given that,

✠ Ashok, Anil and Ajay are partners sharing profits and losses in the ratio of \sf{\dfrac{1}{2}}

2

1

, \sf{\dfrac{3}{10}}

10

3

and \sf{\dfrac{1}{5}}

5

1

.

∴ Old Profit Sharing Ratio of Ashok, Anil and Ajay = \sf{\dfrac{1}{2}}

2

1

: \sf{\dfrac{3}{10}}

10

3

: \sf{\dfrac{1}{5}}

5

1

➜ Old Profit Sharing Ratio of Ashok, Anil and Ajay = \sf{\dfrac{5}{10}}

10

5

: \sf{\dfrac{3}{10}}

10

3

: \sf{\dfrac{2}{10}}

10

2

➜ Old Profit Sharing Ratio of Ashok, Anil and Ajay = 5 : 3 : 2.

Thus,

Old Share of Profit of Ashok = \sf{\dfrac{5}{10}}

10

5

Old Share of Profit of Anil = \sf{\dfrac{3}{10}}

10

3

Old Share of Profit of Ajay = \sf{\dfrac{2}{10}}

10

2

Again,

✠ After the retirement of Anil, Ashok and Ajay decide to share future profits in the ratio of 3 : 2.

Thus,

New Share of Profit of Ashok = \sf{\dfrac{3}{5}}

5

3

New Share of Profit of Ajay = \sf{\dfrac{2}{5}}

5

2

We know that,

\dag \: \: \underline{ \boxed{ \sf{ \: Gain = New \: \: Share - Old \: \: Share \: }}}†

Gain=NewShare−OldShare

Using this formula, we get,

★ Gain of Ashok = New Share of Ashok - Old Share of Ashok

⇒ Gain of Ashok = \sf{\dfrac{3}{5}}

5

3

- \sf{\dfrac{5}{10}}

10

5

⇒ Gain of Ashok = \sf{\dfrac{3 \times 2}{5 \times 2}}

5×2

3×2

- \sf{\dfrac{5}{10}}

10

5

⇒ Gain of Ashok = \sf{\dfrac{6}{10}}

10

6

- \sf{\dfrac{5}{10}}

10

5

⇒ Gain of Ashok = \sf{\dfrac{6 - 5}{10}}

10

6−5

⇒ Gain of Ashok = \sf{\dfrac{1}{10}}

10

1

And,

★ Gain of Ajay = New Share of Ajay - Old Share of Ajay

⇒ Gain of Ajay = \sf{\dfrac{2}{5}}

5

2

- \sf{\dfrac{2}{10}}

10

2

⇒ Gain of Ajay = \sf{\dfrac{2 \times 2}{5 \times 2}}

5×2

2×2

- \sf{\dfrac{2}{10}}

10

2

⇒ Gain of Ajay = \sf{\dfrac{4}{10}}

10

4

- \sf{\dfrac{2}{10}}

10

2

⇒ Gain of Ajay = \sf{\dfrac{4 - 2}{10}}

10

4−2

⇒ Gain of Ajay = \sf{\dfrac{2}{10}}

10

2

Therefore,

✪ Gaining Ratio of Ashok and Ajay = Gain of Ashok : Gain of Ajay

➨ Gaining Ratio of Ashok and Ajay = \sf{\dfrac{1}{10}}

10

1

: \sf{\dfrac{2}{10}}

10

2

∴ Gaining Ratio of Ashok and Ajay = 1 : 2.