Question

Divit has a total of ₹6000 currency
notes of denomination ₹50,₹100 and ₹200. The proportion of the no. of these notes is 2:3:4. How many notes of each denomination does he have?

Answer 1

Step-by-step explanation:

Total money = ₹6000

Ratio of ₹50,₹100 and ₹200 = 2:3:4

Let the numbers of ₹50,₹100 and ₹200 = 2x:3x:4x respectively

ATQ, 2x + 3x + 4x = ₹6000

9x = ₹6000

x = ₹6000/9

x = 666.666

Numbers of ₹50 notes = 666.6 × 2

Answer 2

Concept

Since the ratio of the number of notes of 50 Rs, 100 Rs and 200 Rs are given, therefore we will use this ratio to make an equation to find out the proportionality of each type of notes.

Given

The total amount of money is 6000 Rs.

There are only 50 Rs, 100 Rs and 200 Rs notes.

The ratio of the notes is 2:3:4.

Find

We have to calculate the number of notes for each type.

Solution

Since the ratio of the number of the notes is 2:3:4 and let their proportional to x, therefore from the given condition we can write,

(2x*50 Rs)+(3x*100 Rs)+(4x*200Rs)=6000 Rs

Therefore solving the above equation we get,

100x+300x+800x=6000

1200x=6000

x=5

Therefore the number of 50 Rs note = 2x=2*5=10

The number of 100 Rs notes = 3*5=15

The number of 200 Rs notes = 4*5=20

Hence the number of notes of 50 Rs, 100 Rs and 200 Rs are 10, 15 and 20 respectively.

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