Question

Rs 4810 was paid into 50. 20 and 5 rupee notes the ratio of 2.3.5. how many of each were there?​

Answer 1

The calculation involves finding the total number of parts in the given ratio, determining the value of one part, and then calculating the number of each note denomination accordingly. Upon correction, it is found that there were 19 Rs 50 notes, 72 Rs 20 notes, and 481 Rs 5 notes that collectively make up Rs 4810.

Step-by-step explanation:

The student's question is about determining the quantity of Rs 50, Rs 20, and Rs 5 notes that add up to Rs 4810, given that these quantities are in the ratio of 2:3:5. To solve this, we need to find out how many parts in the ratio make up the total amount and then find out the value of each part by dividing the total amount by the sum of ratio parts.

Let's assume the number of Rs 50 notes is 2x, of Rs 20 notes is 3x, and of Rs 5 notes is 5x. The value then can be calculated as (50 × 2x) + (20 × 3x) + (5 × 5x). The sum of the ratio is 2 + 3 + 5 = 10 parts. Next, we calculate the value of x by dividing the total amount by the total number of parts:

4810 / 10 = 481

Now we know that:

• x = 481
• Number of Rs 50 notes = 2x = 2 × 481 = 962
• Number of Rs 20 notes = 3x = 3 × 481 = 1443
• Number of Rs 5 notes = 5x = 5 × 481 = 2405

This calculation, however, yields an unrealistic number of notes because usually, the number of notes cannot exceed the note's denomination value. It indicates a mistake in the calculation. Therefore, it is evident that the real numbers of notes have to be evaluated by dividing the currency distribution with the respective note values, not by x being the note quantity.

So, we correct our method:

1. Sum of the ratio parts = 2 + 3 + 5 = 10 parts
2. Value of one part = total amount / sum of ratio parts = 4810 / 10 = 481
3. Number of Rs 50 notes (2 parts) = (2 parts × value of one part) / 50 = (2 × 481) / 50 = 19.24, which rounds to 19 notes.
4. Number of Rs 20 notes (3 parts) = (3 parts × value of one part) / 20 = (3 × 481) / 20 = 72.15, which rounds to 72 notes.
5. Number of Rs 5 notes (5 parts) = (5 parts × value of one part) / 5 = (5 × 481) / 5 = 481 notes.

Therefore, there were 19 notes of Rs 50, 72 notes of Rs 20, and 481 notes of Rs 5.