Question

the sum of money is divided between two friends such that one gets 5/17 and his shares is Rs.2500.what is the total and how much did other friend get​

Answer 1

Answer :-

• The total amount is Rs 8500.
• The other friend's share is Rs 6000.

Given :-

• A sum of money is divided between two friends such that one gets 5/17 and his share is Rs 2500.

To find :-

• The total amount.
• The other friend's share.

Step-by-step explanation :-

• Let the total amount of money be "x".

• It has been given that one of the friends got 5/17 of the total money and his share is Rs 2500.

---------------

$\sf \longmapsto \dfrac{5}{17} \: of \: x = 2500$

Let's multiply 5/17 with x first.

$\sf \longmapsto \dfrac{5}{17} \times x = 2500$

On multiplying,

$\sf\longmapsto \dfrac{5x}{17} = 2500$

Transposing 17 from LHS to RHS, changing it's sign,

$\sf \longmapsto 5x = 2500 \times 17$

Multiplying 2500 with 17,

$\sf \longmapsto 5x = 42500$

Transposing 5 from LHS to RHS, changing it's sign,

$\sf \longmapsto x = \dfrac{42500}{5}$

Dividing 42500 by 5,

$\longmapsto \underline{\boxed{\sf x = Rs \: 8500}}$

• Hence, the total amount of money is Rs 8500.

---------------

• Since the total amount of money is Rs 8500, therefore one of the friends got Rs 2500 out of Rs 8500.

Hence,

• The other friend's share is :-

$\longrightarrow \boxed{ \bf8500 - 2500}$

$\longrightarrow\underline{\boxed{\bf Rs \: 6000}}$

• Thus, the other friend got Rs 6000.

Answer 2

Answer :–

The total amount is Rs 8500.

The other friend’s share is Rs 6000.

Given :–

A sum of money is divided between two friends such that one gets 5/17 and his share is Rs 2500.

To find :–

The total amount.

The other friend’s share.

Step-by-step explanation :–

Let the total amount of money be “x”.

It has been given that one of the friends got 5/17 of the total money and his share is Rs 2500.

–––––––––––––––

\sf \longmapsto \dfrac{5}{17} \: of \: x = 2500

Let’s multiply 5/17 with x first.

\sf \longmapsto \dfrac{5}{17} \times x = 2500

On multiplying,

\sf\longmapsto \dfrac{5x}{17} = 2500

Transposing 17 from LHS to RHS, changing it’s sign,

\sf \longmapsto 5x = 2500 \times 17

Multiplying 2500 with 17,

\sf \longmapsto 5x = 42500

Transposing 5 from LHS to RHS, changing it’s sign,

\sf \longmapsto x = \dfrac{42500}{5}

Dividing 42500 by 5,

\longmapsto \underline{\boxed{\sf x = Rs \: 8500}}

Hence, the total amount of money is Rs 8500.

—————

Since the total amount of money is Rs 8500, therefore one of the friends got Rs 2500 out of Rs 8500.

Hence,

The other friend’s share is :-

\longrightarrow \boxed{ \bf8500 - 2500}

\longrightarrow\underline{\boxed{\bf Rs \: 6000}}

Thus, the other friend got Rs 6000.