Question

Lakshmi is a cashier in a bank. She has currency notes of denominations Rs.100, Rs.50, Rs.10 respectively. The ratio of the number of the notes is 2: 3: 5. The total cash with Lakshmi is Rs. 4, 00,000. How many notes of each denomination does she have?

Answer 1

Hint: Here we will need to find the number of notes of each denomination by using a variable and solving using the given ratio.

Complete step-by-step answer:
We have been given Rs.100, Rs.50, Rs.10 currency notes.
The ratio of the notes is 2: 3: 5.
So,
Let Cashier have 2N number of Rs.100 notes, 3N number of RS.50 notes and 5N number of Rs.10 notes respectively.
Then the total value of the currency notes will be:
$
  2N \times Rs.100 + 3N \times Rs.50 + 5N \times Rs.10 = Rs.4,00,00 \\
   \Rightarrow 200N + 150N + 50N = 400000 \\
   \Rightarrow 400N = 400000 \\
   \Rightarrow N = 1000 \\
$
Hence, there are $2N = 2000$ notes of Rs.100, $3N = 3000$ notes of Rs.50, $5N = 5000$ notes of Rs.10.

Note: To approach these kinds of questions you should always take a variable in order to make a relation between the ratios. Then you can easily make an equation to solve the question.