Lakshmi is a cashier in a bank . she has currency notes of denominations ₹ 100 ₹50 ₹10 , respectively . the ratio of the number of these notes is 2:3:5 . the total cash with lakshmi is ₹ 4,00,000 . How much notes of each denominations does she have ? please answer me
please please answer me
Answers
Answer:
Let the number of notes of different denomination be x.
∴ Numbers of Rs100 notes, 50 notes and Rs10 notes will be 2x,3x and 5x respectively.
Amount of 100 Rs notes ⇒Rs100×2x=200x
Amount of 50 Rs notes ⇒Rs50×3x=150x
Amount of 10 Rs notes ⇒Rs10×5x=50x
As per the question
Total amount =400000
200x+150x+50x=400000
400x=400000,x=1000
No of Rs 100 notes =2x=2×1000=2000
No of Rs 50 notes =3x=3×1000=3000
No of Rs 10 notes =5x=5×1000=5000
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