Question

A sum of Rs.800 is in the form of denominations of Rs 10 and Rs 20. If the total no of notes is 50 find the number of notes of each type.

Answer 1

let the numbers of Rs 10 notes be x and Rs 20 be y

10x+20y=800 ......... (I)

x+y=50 ...... (II)

multiply (I) by 10 we get

10x+10y=500 .... (III)

subtract (III) from (I) we get

10y=300

y=30

x=20

the number of notes of Rs10 is 20 and Rs 20 is 30

Answer 2

Let there be X notes of Rs 10.

Total number of notes = 50.

∴ Number of notes of Rs 20 = (50 – x)

Total sum of money = Rs 800

∴ 10x+ 20 (50 – x) = 800

⇒ 10x+ 1000 – 20x = 800

⇒– 10x = 800 – 1000

⇒ – 10x= – 200

⇒x= 20

∴ 50 – x = 50 – 20= 30

So, there are 20 notes of Rs 10 and 30 notes of Rs 20.

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