Ex 3.3 Q2 (iv) - Meena went to a bank to withdraw ₹2000. She asked the cashier to give her ₹50 and ₹100 notes only

Ex 3.3 Q2 (iv) - Meena went to a bank to withdraw ₹2000. She asked the cashier to give her ₹50 and ₹100 notes only. Meena got 25 notes in all. Find how many notes of ₹50 and ₹100 she received.

Solution:-

Let,

      No. of ₹50 notes = x

      No. of ₹100 notes = y

➙ According to question, Meena got total 25 notes,

   ∴ x + y = 25

   ∴ x = 25 - y       ------- ( 1 )

➙ Also, total ₹2000 is withdrawn by Meena,

   ∴ 50x + 100y = 2000

   *taking 50 as common

   ∴ x + 2y = 40

   ∴ 25 - y + 2y = 40       ------ { from (1) }

   ∴ 25 + y = 40

   ∴ y = 40 - 25

   ∴ y = 15

➙ Putting y = 15 in Eqⁿ( 1 )

   ∴ x = 25 - 15

   ∴ x = 10

Therefore,

   *No. of ₹50 notes

   = x

   = ₹10

   *No. of ₹100 notes

   = y

   = ₹15

Hence,

         Meena received 10 notes of ₹50 and 15 notes of ₹100.

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

Try This..

✒ A person withdraws ₹2500 in ₹50 and ₹500 notes. If they receive 10 notes in total, how many notes of each denomination did they get?

✒ A cashier gives a mix of ₹20 and ₹100 notes, totaling 35 notes, with a total amount of ₹2700. Find the number of each type of note.

✒Ravi has ₹5000 in ₹200 and ₹500 notes. If he has 18 notes in total, how many of each does he have?

❌ Common Mistakes

Incorrectly defining variables:

▸ Clearly define what each variable represents.

Miswriting equations:

▸ Ensure equations accurately represent the given conditions.

Calculation errors:

▸ Simple arithmetic mistakes can lead to wrong answers.

Forgetting to check the answer:

▸ Always verify by substituting values back into the original equations.

📝 Related Questions:-

• Ex 3.3 Q2 (i) - If we add 1 to the numerator and subtract 1 from the denominator, a fraction reduces to 1. It becomes 1/2 if we only add 1 to the denominator. What is the fraction?
• Ex 3.3 Q2 (ii) - Five years ago, Nuri was thrice as old as Sonu. Ten years later, Nuri will be twice as old as Sonu. How old are Nuri and Sonu?
• Ex 3.3 Q2 (iii) - The sum of the digits of a two-digit number is 9. Also, nine times this number is twice the number obtained by reversing the order of the digits. Find the number.
• Ex 3.3 Q2 (v) - A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid ₹27 for a book kept for seven days, while Susy paid ₹21 for the book she kept for five days. Find the fixed charge and the charge for each extra day.

Queries Solved:-

Class 10 Ex 3.3

Ex 3.3 Q2 iv Class 10

Class 10 Ex 3.3 Q2 iv

Class 10 Chap 3 Ex 3.3 Q2 iv

Class 10 Pair Of Linear Equations in Two Variables

If you found it helpful, please leave a comment below sharing your thoughts or questions. 

Don’t forget to share it with your classmates to help them learn too. 

Good luck, and happy learning!

Together, let’s make math simpler and more enjoyable for everyone!