A sum of Rs 800 is in the form of denominations of Rs 10 and Rs 20. If

1.	A sum of Rs 800 is in the form of denominations of Rs 10 and Rs 20. If the total number of notes be 50. Find the number of notes of each type.
Answer» Let the number of notes of Rs 10 are x Number of notes of Rs 20 are 50 - x Amount due to Rs 10 notes = 10x Amount due to Rs 20 notes = 20 \(\times\) (50 - x) = 1000 - 20x According to the question total amount = Rs 800 10x +1000 - 20x = 800 -10x = 800 - 1000 x = 20 Therefore the number of notes of Rs 10 are 20 Number of notes of Rs 20 are 50 - 20 =30

A sum of Rs 800 is in the form of denominations of Rs 10 and Rs 20. If the total number of notes be 50. Find the number of notes of each type.

Answer»

Let the number of notes of Rs 10 are x

Number of notes of Rs 20 are 50 - x

Amount due to Rs 10 notes = 10x

Amount due to Rs 20 notes = 20 \(\times\) (50 - x) = 1000 - 20x

According to the question total amount = Rs 800

10x +1000 - 20x = 800

-10x = 800 - 1000

x = 20

Therefore the number of notes of Rs 10 are 20

Number of notes of Rs 20 are 50 - 20 =30