# Percentage 3

1. 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?
A.25%
B.16.67%
C.20%
D.33.33%

(X + Y +XY/100) = Net increase or decrease in expenditure
25 + (-Y) + (-25y/100) = 0
25 -Y -.25y = 0
25 -1.25y =0
25 = 1.25y
y = 25/1.25
y = 20

2. A sum Rs.731/- divided among A,B and C such that A receiver 25% more than B & B receive 25% less than C. What is C’s share amount?
(1) 217
(2) 320
(3) 272
(4) 306
(5) None of these

Explanation:-

If C=100
then, B= 75
and A= 125% of B = 125% of 75.
Then   A:B:C= (125/100)*75 : 75 : 100
Therefore A:B:C=375:300:400
C’s Share=(731/(375+300+400))*400
=(731/1075)*400
=272 Rs

3. Rs. 395 are divided among A,B and C in such a manner that B gets 25% more than A and 20% more than C. A’s share is Rs.__
(1) 105
(2) 110
(3) 115
(4) 120
(5) None of these

Explanation:-

Let’s suppose A=100
Therfore B=125 and C=(125/120)*100
A:B:C=100:125:(125/120)*100
A:B:C=100:125:(125/6)*5
A:B:C=120:150:125

4. If the numerator of a fraction is increased by 150% & the denominator of fraction is increased by 300%, the resultant fraction is 5/18. What is the original fraction?
(1)     5/9
(2)     3/4
(3)     8/9
(4)     4/9
(5) None of these