Q1. In order to increase the daily collections, an art gallery reduced its admission fee of Rs. 7.70 per head by 25%. As a result the daily collection increases by 50%. Find the percentage increase in the number of visitors to the gallery. Q2. If the price of petrol increases by 25%, by how much must a user cut down his consumption so that his expenditure on petrol remains constant ? Q3. If the price of petrol increases by 25%, by how much must a user cut down his consumption so that his expenditure on petrol increases only by 5% ? Q4. If the price of petrol increases by 25%, by how much a users expenditure increases considering that he also increases his petrol consumption by 5% ? |
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I think Q1 ans is 100% Rest are all easy and my answers are
Q2. b. 20%
Q3. b. 16%
Q4. a. 31.25%
Please tell me how to solve Q.1
Total collection = number of visitors * admission fee
admission fee is reduced by 25% and as a
TC increases by 50%
So 1.5 = x * 0.75
=> x = 2
i.e increase by 100%
n/a
Please explain me the step 1.5=x*0.75
Why have you not use the admission fee information while solving the question?
Admission fee is irrelevant here.
As already explained
Total collections = Number of visitors x Fee of each visitor.
% in total collection = % in number of visitors * % in fee
150 = X * 75
? X = 2 or 200%
? So visitors % increase is 100%
Q1)100%
Q2)20%
Q3)16%
Q4)31.25%
one of you let me know if these are the answers
all your answers are correct.
Please read the previous comments
Q2. Let the price of petrol be 100 then the new price will be 125
Let the consumption of petrol by user be x then,
125*x = 100
x = 4/5
1:100
4/5:a
a = 80%
That means user is now consuming petrol 80% of his previous consumption that means he has cut down 20% of his consumption.
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