A expenditure is 20% more than B expenditure,B expenditure 30% less than c expenditure by what percentage A expenditure is less than c expenditure
Answers
Answer:
A's expense is 16% less than expense of C
Step-by-step explanation:
let the expense of A be 100
given expense of A is 20% more than expense of B
let b be the expense of B
=> 100 = b + (20/100)b
=> 100 = b[ 1 + (20/100)]
=> 100 = b[ 1 + (2/10)]
=> 100 = b[ 12/10]
=> 100 = b[ 6/5 ]
=> b = (100*5)/6 = 250/3
expense of B is 250/3 if expense of A is 100
given expense of B is 30% less of the expense of C
let x be the expense of C
=> x - (30/100)*x = 250/3 ( expense of B)
=> x * (1-(3/10)) = 250/3
=> x * (7/10) = 250/3
=> x = (250/3) * (10/7)
=> x = 2500/21 = 119.05
=> expense of C is 119.05 when the expense of B is 250/3
=> expense of C is 119.05 when the expense of A is 100
ie, if A expense is 100 then C expense is 119.05 which (119.05-100) = 19.05 more of A
=> Expense of C is 19.05% more than Expense of A
otherwords,
When C expense is 119.05, A expense is 100 which is 19.05 less than C
there difference % = (100*19.05)/119.05 = 1905/119.05 ≈ 16%
=> A's expense is 16% less than expense of C
Answer:
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Step-by-step explanation:
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