Question

a bag contains ₹1,600 in the form of ₹10 and ₹20 notes. if the ratio between the no. of ₹10 and ₹20 Notes is 2:3 , find the total no. of notes in all. ​

Answer 1

Answer:

$\bigstar{\bold{Number\:of\:notes=100}}$

Step-by-step explanation:

$\Large{\underline{\underline{\bf{Given:}}}}$

• Amount of money in the bag = Rs. 1600
• Ratio of Rs 10 and Rs. 20 notes = 2 : 3

$\Large{\underline{\underline{\bf{To\:Find:}}}}$

• Total number of notes

$\Large{\underline{\underline{\bf{Solution:}}}}$

→ Let the number of Rs.10 notes be 2 x

→ Let the number of Rs.20 notes be 3 x

→ Total amount of Rs. 10 notes = 10 × 2 x

  Total amount of Rs.10 notes = 20 x rupees------(1)

→ Total amount of Rs.20 notes = 20 × 3x

   Total amount of Rs.20 notes = 60 x rupees------(2)

→ By given the total amount in the bag is Rs.1600

→ Total amount of Rs.10 notes + Total amount of Rs.20 notes = Rs.1600

→ Substituting equation 1 and 2 we get,

  20 x + 60 x = 1600

→ Simplifying,

  80 x = 1600

        x = 1600/80

        x = 20

→ Hence number of Rs.10 notes = 2 x = 2 × 20 = 40 notes

→ Hence number of Rs.20 notes = 3 x = 3 × 20 = 60 notes

→ Total number of notes = Number of Rs 10 notes +  Number of Rs.20 notes.

→ Total number of notes = 40 + 60

   Total number of notes = 100

→ Hence the total number of notes in the bag is 100

$\boxed{\bold{Number\:of\:notes=100}}$

$\Large{\underline{\underline{\bf{Verififcation:}}}}$

→ Amount of rupees in the bag = 20 x + 60 x

  20 x + 60 x = 1600

  20 × 20 + 60 × 20 = 1600

  400 + 1200 = 1600

  1600 = 1600

→ Hence verified.