We have rs 100 we should buy 100 things at 5rs and 1rs and .25 paise rs how can we buy
Answers
Given : We have rs 100 we should buy 100 things at 5rs and 1rs and .25 paise
To find : Different ways to buy
Solution:
Lets Thing buy A rs 5 = x
& thing buy at Rs 0.25 ( 25 Paise) = y
then thing bought at Rs 1 = 100 - (x + y)
Amount for 5 Rs x thing = 5x
Amount for Rs 0.25 y things = 0.25y
Amount for Rs 1 (100 - (x + y)) things = 100 -(x + y)
5x + 0.25y + 100 - (x + y) = 100
=> 4x - 0.75y = 0
=>4x = 0.75y
=> 16x = 3y
Possible Values
x = 0 & y = 0
x = 3 & y = 16
x = 6 & y = 32
x = 9 & y = 48
x = 12 & y = 64
x = 15 & y = 80
x = 18 & y = 96 ( not possible as x + y ≤ 100)
Different ways to buy things
Rs 5 Rs 1 Rs 0.25
0 100 0
3 81 16
6 62 32
9 43 48
12 24 64
15 5 80
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