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Question

An amount of Rs 3270 is made up with the notes of denominations Rs 100, 50, 20, and 10. The number of Rs 10 notes are 5 times the number of Rs 20 notes .The number of Rs 20 notes are 4 times the number of Rs 50 notes .The number of Rs 50 notes are 3 times the number of Rs 100 notes.How many total notes of denomination rs 20 are there

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Solution

Let no of 100,50,20 and 10 notes be p, q, r, s respectively.

s=5r __(1)

r=4q __(2)

q=3p __(3) given

Also, 100p+50q+20r+10s=3270

10p+5q+2r+5=327

10(34r)+5(r4)+2r+5r=327

(304+54+7)=327

(35+284)r=327

r=327×463

=r=20.76

r=21notes

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