In a note collection, there is one new Rs.2000 note for every three old Rs.500 n

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In a note collection, there is one new Rs.2000 note for every three old Rs.500 notes. 10 more new Rs.2000 notes are added to the collection and the ratio of new Rs.2000 notes to old Rs.500 notes would be 1: 2. Based on the information, the total number of notes in the collection now becomes?
Options
A. 60
B. 30
C. 70
D. 90

Correct Answer

90

Explanation

Let 'x' be the number of new Rs.2000 notes.

Given for one new 2000 note there are three old 500 notes.

i.e, 3x

Given 10 more new Rs.2000 notes are added to the collection
and the ratio of new Rs.2000 notes to old Rs.500 notes

$\frac{x + 10}{3 x} = \frac{1}{2} ? x = 20$

Therefore, number of new Rs.2000 notes = x+10 = 30.

old Rs.500 notes = 3x = 60.

Thus, the total number of notes in the collection = 30 + 60 = 90.

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