20. Maya is a cashier in a shop. She has currency notes of denominations ₹100, ₹500 and ₹1000, respectively. The ratio of the number of these notes is 5:3:6. The total cash with Maya is ₹4,00,000. How many notes of each denomination does she have?
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Answer:
Step-by-step explanation:
Let the numbers of notes of ₹100, ₹500 and ₹1000 be ‘5n’ , ‘3n’ and ‘6n’ respectively.
Value of ₹100 = 5n × 100 = 500n
Value of ₹500 = 3n × 500 = 1500n
Value of ₹10 = 6n × 1000 = 6000n
According to the given details the equation becomes
Given, 500n + 1500n + 6000n = 4,00,000
8000n = 4,00,000
n = 4,00,000/8000
n = 50
Numbers of ₹100 notes = 5n = 5 x 50 = 250
Numbers of ₹500 notes = 3n = 3 x 50 = 150
Numbers of ₹1000 notes = 6n = 6 x 50 = 300
Answer
Numbers of ₹100 notes = 250
Numbers of ₹500 notes = 150
Numbers of ₹1000 notes = 300
Hope it helps :)
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