Lakshmi is a cashier in a bank. She has currency notes of denomination Rs.100 ,Rs.50 ,Rs.10, respectively. The ratio of the number of these notes is 2:3:5. The total cash with Lakshmi is Rs.4,00,000. How many notes of each denomination does she have?
Answers
Step-by-step explanation:
Let the number of currency note of denomination ₹100 , ₹50 and ₹10 be 2x , 3x and 5x respectively.
Therefore the amount she has from ₹100 = 2x×100 = 200x
The amount she has from ₹50 notes = 3x × 50 = 150x
The amount she has from ₹10 notes = 5x × 10 = 50x
According to the question
Total amount = 400000
therefore 200x + 150x + 50x = 400000
400x = 400000
x = 400000\ 400
x = 1000
therefore Number of ₹100 notes = 2x = 2 × 1000 = 2000
Number of ₹150 notes = 3x = 3 × 1000 = 3000
Number of ₹ 10 notes = 5x = 5 × 1000 = 5000
Hence she has 2000 , 3000 and 5000 notes of dominations ₹100 , ₹50 and ₹10 respectively
Let the numbers of notes of ₹100, ₹50 and ₹10 be 2x, 3x and 5x respectively.
Value of ₹100 = 2x × 100 = 200x
Value of ₹50 = 3x × 50 = 150x
Value of ₹10 = 5x × 10 = 50x According to the question,
200x + 150x + 50x = 4,00,000
⇒ 400x = 4,00,000
⇒ x = 400000/400
⇒ x = 1000
Numbers of ₹100 notes = 2x = 2000
Numbers of ₹50 notes = 3x = 3000
Numbers of ₹10 notes = 5x = 5000