Question

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

Answer 1

Step-by-step explanation:

Given that,

• Cashier Lakshmi having total cash of ₹4,00,000 divided in th ratio of 2:3:5
• Denomination in notes is ₹100, ₹50, and ₹10 respectively.

❐ Step 1 :

Considering :

➙ Number of ₹100 notes is 2x

• Then, total currency will be 100(2x) = ₹200x

➙ Number of ₹50 notes is 3x

• Total currency will be = ₹50(3x) = ₹150x

➙ Number of ₹10 notes is 5x

• Total currency = ₹10(5x) = ₹50x

❐ Step 2 :

$\begin{gathered}\underline{\:\boldsymbol{According\:to\:the\:question\::}}\ \ \end{gathered}$

→ 200x + 150x + 50x = 4,00,000

→ 400x = 4,00,000

→ x = 1,000

❐ Final answer :

➙ ₹100 notes are = 2x = 2,000

➙ ₹50 notes are = 3x = 3,000

➙ ₹10 notes are 5x = 5,000