(14) Lakshmi is a castrer 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
Answers
Answer:
Lakshmi is a castrer 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 currency does Lakshmi have:
Lakshmi has 2000, 100 notes; 3000, 50 notes and 5000, 10 notes.
Step-by-step explanation:
The ratio of the notes of the currency 100 : 50 : 10 is 2 : 3 : 5
Since this ratio is of the number of notes, then let the total number of notes be x
2:3:5 of x ( the total number of notes)
Find the number of notes of each currency in terms of y
Total ratio = 2 + 3 + 5 = 10
Number of 100 notes = 2/10 × y = 0.2y
Number of 50 notes = 3/10 × y = 0.3y
Number of 10 notes = 5/10 × y = 0.5y
We can then find the amount of each notes and equate it to the total amount, 4,00,000
100 notes = 0.2y × 100 = 20 y
50 notes = 0.3y × 50 = 15 y
10 notes = 0.5y × 10 = 5 y
These are the total amounts of each or the currencies
Therefore: 20y + 15y + 5y = 4,00,000
40y = 400000
y = 400000/40
y = 10,000
Therefore the total number of notes, y = 10000 notes
Find the number of notes of each currency using the ratio 2:3:5
100 notes = 2/10 × 10,000 = 2000 notes
50 notes = 3/10 × 10,000 = 3000 notes
10 notes = 5/10 × 10,000 = 5000 notes
Therefore there are 2000, 100 notes currency
3000, 50 notes currency
5000, 10 note currency
Lakshmi is a cashier in a bank. she has currency note of denominations Rs. 100 Rs. 50 and 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 denominations does she have?
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
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