Question

if 2600 rupees are divided between sameer and smita in the proportion 8:5 the share of each is .......and.......respectively

Answer 1

Given:

2600 rupees are divided between Sameer and Smita in proportion 8:5.

To find:

The share of each.

Solution:

The share of Sameer is 1600 Rs. and the share of Smita is 1000 Rs.

To answer this question, we need to follow the following steps:

As given, we have,

The total amount that is divided between Sameer and Smita = 2600 rupees

Given ratio = 8:5

Let the common ratio between the share of Sameer and Smita be x.

So,

The share of Sameer = 8x

The share of Smita = 5x

So,

$8x + 5x = 2600$

$13x = 2600$

$x = 200$

So,

The share of Sameer is

$= 8x = 8(200) = 1600 \: Rs.$

The share of Smita is

$= 5x = 5(200) = 1000 \: Rs.$

Hence, the share of Sameer and Smita is 1600 Rs. and 1000 Rs. respectively.

Answer 2

Answer:

∴ Sameer got the share Rs. $1600$ and Smita got Rs. $1000$.

Step-by-step explanation:

In context with question asked,

• We have to find the amount got by Sameer and Smita.
• It is given that, Total amount = Rs. $2600$

       Amount divided in the ratio = $8:5$

• Let, money be divided in the ratio as $8x$ and $5x$ between Sameer and Smita.

• Now, according to given data, the equation becomes,

         $8x+5x=2600$

             ∴ $13x=2600$

               ∴ $x=\frac{2600}{13}$

               ∴ $x=200$

• So, $8x=8\times 200=1600$

            $5x=5\times 200=1000$

• ∴ Sameer got the share Rs. $1600$ and Smita got Rs. $1000$.