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?
Solution:
Let's form a linear equation for the given problem statement.
Let's tabulate the given conditions according to the question.
Denomination | Number of notes | Total Amount |
₹100 | 2x | 200x |
₹50 | 3x | 150x |
₹10 | 5x | 50x |
From the table, we can see that the total value of all denominations is,
200x + 150x + 50x = 400x
We know that the total cash she has is Rs.4,00,000
Therefore,
400x = 400000
x = 1000
Thus the number of denominations of each note is
Denomination | Number of notes |
₹100 | 2x = 2 × 1000 = 2000 |
₹50 | 3x = 3 × 1000 = 3000 |
₹10 | 5x = 5 × 1000 = 5000 |
☛ Check: NCERT Solutions for Class 8 Maths Chapter 2
Video Solution:
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?
NCERT Solutions Class 8 Maths Chapter 2 Exercise 2.2 Question 14
Summary:
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. The total number of notes of ₹100, ₹50, and ₹10 are 2000, 3000, and 5000 respectively.
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