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 ?
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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.
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