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

2 thoughts on “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”

1. [tex] \huge{ \underline{ \pmb { \frak{ \red{Given}}}}}[/tex]

   • Cash price = Rs. 100

   • Ratio = 2:3

   [tex] \huge{ \underline{ \pmb{ \frak{ \red{To \: \: Find}}}}}[/tex]

   • How much does each students receive.

   [tex] \huge{ \underline{ \pmb{ \frak {\red{Solution}}}}}[/tex]

   ~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

   _____________________

   Reply

2. 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.

   Reply