A telecom service operator announced that between 8 pm and 8 am all outgoing calls and text messages shall be charged @ 50 % of the charge rate as applicable from 8 am to 8 pm. After availing of this benefit, my bill dues reduced by 20 %. What is the ratio of my calls and sms during day and night time?
Answers
Answered by
1
Answer:
The ratio of calls and sms during day and night time is 3 : 2
Step by Step explanation:
Let Suppose,
A be the amount paid for usage between 8 am to 8 pm.
B be the amount paid for usage between 8 pm to 8 am.
Given Data,
Before the applying the benefits of 50%:
A + B = 100% of the bill ................. (1)
After the applying the benefits of 50%:
(Bill reduced by 20% = 100% - 20% = 80% of previous bill)
A + (1/2)B = 80% ................ (2)
We have to find the value of A and B.
Equation (2) - (1)
(A + (1/2)B) - (A + B) = 80% - 100%
-(1/2)B = -20%
B = 40%
Put the value of B in Equation (1)
A + B = 100%
A + 40% = 100%
A = 60%
The Ratio between A and B is :
Day : Night = A : B
Day : Night = 60% : 40%
Day : Night = 3 : 2
Answered by
3
- Let (x) and (y) be the amount.
Solving (y)
Equation (2) subtracting (1)
Solving (x)
Ration = x : y
60 : 40
Simplifing we get 20%
Therefore, the ratio is 3 : 2
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