Deveshi has a total of ₹590 as currency notes in the denominations of ₹50 , ₹20 and ₹10. The ratio of the number of ₹50 notes and ₹20 notes is 3:5. If she has a total of 25 notes, how many notes of each denomination she has?
Answers
Deveshi has a total of ₹590 as currency notes in the denominations of ₹50 , ₹20 and ₹10. The ratio of the number of ₹50 notes and ₹20 notes is 3:5. If she has a total of 25 notes, how many notes of each denomination she has?
Let,
The number of ₹50 notes and ₹20 notes be 3x and 5x, respectively.
But she has 25 notes in total.
Therefore, the number of 10 notes = 25 - ( 3x + 5x ) = 25 - 8x
The amount she has
from ₹50 notes: 3x × 50 = Rs 150x
from ₹20 notes: 5x × 20 = Rs 100x
from ₹10 notes: ( 25 - 8x ) × 10 = Rs ( 250 - 80x )
Hence, the total money she has = 150x + 100x + ( 250 - 80x ) = Rs ( 170x + 250 )
But she has Rs 590.
Therefore, 170x + 250 = 590
170x = 590 - 250
170x = 340
x = 340/170
x = 2
The number of ₹50 notes she has = 3x
= 3 × 2 = 6
The number of ₹20 notes she has = 5x
= 5 × 2 = 10
The number of ₹10 notes she has = 25 - 8x
= 25 - ( 8 × 2 )
= 25 - 16 = 9
Deveshi has a total of ₹590 as currency notes in the denominations of ₹50 , ₹20 and ₹10. The ratio of the number of ₹50 notes and ₹20 notes is 3:5. If she has a total of 25 notes, how many notes of each denomination she has?
Let,
The number of ₹50 notes and ₹20 notes be 3x and 5x, respectively.
But she has 25 notes in total.
Therefore, the number of 10 notes = 25 - ( 3x + 5x ) = 25 - 8x
The amount she has
from ₹50 notes: 3x × 50 = Rs 150x
from ₹20 notes: 5x × 20 = Rs 100x
from ₹10 notes: ( 25 - 8x ) × 10 = Rs ( 250 - 80x )
Hence, the total money she has = 150x + 100x + ( 250 - 80x ) = Rs ( 170x + 250 )
But she has Rs 590.
Therefore, 170x + 250 = 590
170x = 590 - 250
170x = 340
x = 340/170
x = 2
The number of ₹50 notes she has = 3x
= 3 × 2 = 6
The number of ₹20 notes she has = 5x
= 5 × 2 = 10
The number of ₹10 notes she has = 25 - 8x
= 25 - ( 8 × 2 )
= 25 - 16 = 9