Question

In how many ways can X give Rs 500 to Y using only Rs 100 and Rs 20 notes, with the condition that she has
only 16 notes of Rs 20, and being asked to use the notes of both the denominations?​


Answer - 4 Way​

Answer 1

Answer:

Let the number of 5 rupee notes be x,then

The number of 10 rupee notes =90−x

Then ,according to the question

5x+10(90−x)=500

5x+900−10x=500

5x=400

x=80

There are 80 notes of Rs.5 and 10 notes of Rs.10.

Answer 2

Given: The condition that she has only 16 notes of Rs 20.

only 16 notes of Rs 20

To Find: In how many ways can X give Rs 500 to Y using only Rs 100 and Rs 20 notes

Solution:

Let the Total amount in Rs.20 notes=16*20=Rs.320 (as X has only 16 notes of Rs.20)

Now, the possible ways of giving Y using both notes of Rs.100 and Rs.20  are

15*20+2*100=500 (since only 16 Rs.20 notes are available we start with 15)

10*20+3*100=500

5*20+4*100=500 (since both denominations should be present we stop here)

Therefore, there are three ways that X can use to make a sum of 500.