Question

the cash price of rs 100 has to be distributed b/w the two students in the ratio of 2:3. how much does each student recieves

Answer 1

Given:

• Cash Price = Rs. 100
• Ratio = 2:3

What To Find:

We have to find -

• How much does each student receive?

Solution:

• Forming the equation.

Let's take x as the common multiple of the ratio -

• 2x
• 3x

Together make the sum of Rs. 100 -

• 2x + 3x = 100

Thus, the equation is -

• 2x + 3x = 100

• Solving the equation.

2x + 3x = 100

Add the terms in LHS,

⇒ 5x = 100

Take 5 to RHS,

⇒ x = 100 ÷ 5

Divide 100 by 5,

⇒ x = 20

• Substituting the values.

Here -

→ 2x = 2 × 20 = 40

→ 3x = 3 × 20 = 60

Final Answer:

∴ Thus, each student will receive Rs. 40 and Rs. 60.

Answer 2

$\huge{ \underline{ \pmb { \frak{ \red{Given}}}}}$

• Cash price = Rs. 100

• Ratio = 2:3

$\huge{ \underline{ \pmb{ \frak{ \red{To \: \: Find}}}}}$

• How much does each students receive.

$\huge{ \underline{ \pmb{ \frak {\red{Solution}}}}}$

~Forming the equation :-

Lets take x as the common multiple of the ratio~

• 2x
• 3x

Together make the sum as Rs. 100

» 2x + 3x = 100

» 5x = 100

» x = 100/5

» x = 20

~ Substituting the values :-

» 2x = 2×20 = 40

» 3x = 3×20 = 60

•°• Each students will receive Rs. 40 and Rs. 60.

_____________________

★ Verification ★

Using the equation we have made :

★ 2x + 3x = 100

★ 40 + 60 = 100

_____________________