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?
Answers
Ratio of notes is 2:3:5
Let the Rs. 100 be 2x ,
Rs. 50 be 3x and
Rs. 10 be 5x
Rs. 100 = 2x = 2 × 100 = 200x
Rs. 50 = 3x = 3 × 50 = 150x
Rs. 10 = 5x = 10 × 5 = 50x
According to the question lakshmi has total Rs. 4,00,000
200x + 150x + 50x = Rs. 4,00,000
400x = Rs. 4,00,000
x = 4,00,000/400
x = 1000
Therefore,
Rs. 100 = 2x = 2 × 1000 = 2000
Rs. 50 = 3x = 3 × 1000 = 3000
Rs. 10 = 5x = 5 × 1000 = 5000
Answer:
Number of 100 ₹ notes = 800
Number of 50 ₹ notes = 2,400
Number of 10 ₹ notes = 20,000
Step-by-step explanation:
Currency notes : 100 ₹ , 50 ₹, 10 ₹
Currency ratio : 2x : 3x : 5x
Total cash = 4,00,000 ₹
Steps -
Let us think this;
2x = 100 ₹ notes
3x = 50 ₹ notes
5x = 10 ₹ notes
Then, let us make ourselves an equation to begin with ;
2x + 3x + 5x = 4,00,000
Next, you take all the numbers with variables (coefficents) and you add them together;
2x + 3x +5x = 10x
10x = 4,00,000
Then, you divide;
4,00,000 / 10 = 40,000
x = 40,000
After this step, you make a chart out like this;
2x = 40,000 * 2
3x = 40,000 * 3
5x = 40,000 * 5
When you finish, you multiply them;
2x = 4,00,00 * 2 = 80000
3x = 4,00,00 * 3 = 1,20,000
5x = 4,00,00 * 5 = 2,00,000
Then, make these numbers the value of each denomination;
Value of 100 ₹ notes = 80,000 ₹
Value of 50 ₹ notes = 1,20,000 ₹
Value of 10 ₹ notes = 2,00,000 ₹
Then you divide;
80000 / 100 = 800
1,20,000 / 50 = 2,400
2,00,000 / 10 = 20,000
So the answer to this question is:
Number of 100 ₹ notes = 800
Number of 50 ₹ notes = 2,400
Number of 10 ₹ notes = 20,000
I really hope this helped you to solve your problem.