A wallet contains 4080 in notes in denominations of 10, 20, 50, and 100 in the ratio of 1:3:5:7 respectively. How much
money do the 20 and 50 rupee notes sum up together?
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Given:
Total amount= Rs 4080
Denominations of 10, 20, 50, and 100 in the ratio of 1:3:5:7
To find:
The amount of money that the 20 and 50 rupee notes sum up together
Solution:
The ratio is 1:3:5:7 so we can write the number of 10, 20, 50, and 100 notes as x, 3x, 5x, and 7x respectively
Now equating the amount/values-
10x + 20*3x + 50*5x + 100*7x = 4080
So, 10x + 60x + 250x + 700x = 4080
So, 1020x = 4080
So, x= 4
So, the number of 10, 20, 50, and 100 notes are 4, 12, 20 and 28
Number of 20 rupee notes= 12
So, the value of the notes= 12*20 = Rs 240
Number of 50 rupee notes= 20
So, the value of the notes= 20*50 = Rs 1000
So, the total value of these two notes is Rs 1000+240 = Rs 1240
The 20 and 50 rupee notes sum up together to a total amount of Rs 1240.
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