Question

devanshi has a total of rs590 as currency notes of denomination of rs 50 rs20 rs10 the ratio of the number of
rs 50 and rs 20 notes is 3:5 if she has a total of 25 notes how many notes of each denomination she has ?​

Answer 1

$\huge\bold{Answer:-}$

Let,

No. of currency notes of Rs. 50 be 3x

No. of currency notes of Rs. 20 be 5x

No. of currency notes of Rs. 10 be,

⠀⠀⠀⠀⠀⠀⠀⠀=⠀25 - (3x + 5x) = 25 - 8x

Rs. 50 note amount = 50 × 3x = 150x

Rs. 20 note amount = 20 × 5x = 100x

Rs. 10 note amount = 10 × (25 - 8x) = 250 - 80x

Total amount of money = Rs. 590

=> 150x + 100x + 250 - 80x = 590

=> 170x = 340

=> x = 2

Denominations :-

⠀⠀⠀⠀⠀⠀⠀⠀⠀Rs. 50 = 3 × 2 = 6

⠀⠀⠀⠀⠀⠀⠀⠀⠀Rs. 20 = 5 × 2 = 10

⠀⠀⠀⠀⠀⠀⠀⠀⠀Rs. 10 = 25 - 8 × 2 = 9

Therefore, She has 6 notes of Rs. 50 , 10 notes of Rs. 20 and 9 notes of Rs. 10.