Question

A sum of rs. 800 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 1

Let the number of Rs.10 notes be x. So, number of Rs.20 notes would be (50-x).

∴$10x + 20(50-x) = 800$

∴$10x + 1000 - 20x = 800$

∴$-10x = -200$

∴$x = 20$

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

Answer 2

Answer :- No. of 10 Rs note = 20 and 20 Rs. notes = 30

Explanation :-

Let the number of 10 Rs notes be x

The number of 20 Rs notes be (50 – x)

Rs 10 notes = 10x

Rs 20 notes = 20 (50 – x)

According to the given condition we get,

Given the sum of Rs. is 800

10x + 20(50 – x) = 800

10x + 1000 – 20x = 800

10x = 1000 – 800

x = 200/10 

x = 20

Therefore, Number of 10 Rs. notes = 20

Number of Rs 20 notes = (50 – x)

50 - 20

= 30