PERCENTAGE & RATIO PROPORTION SET9

Q.1 A man does not want to change his expenditure for the consumption of sugar. If the prices of sugar increases by 60%, then the man must reduce his consumption by :
A) 35 %
B) 60 %
C) 37 ½ %
D) 40 %
Ans. C
60 / 160 * 100 = 37 1/2b

Q.2 A tank is filled 10% in an hour & 8% of the water is emptied in the next hour. If it is repeated again, Find the percentage of tank filled with water ?
A) 4 %
B) 20 %
C) 17.66 %
D) 19 %
Ans. C
Tank will be filled 10% in first hour .
In next hour 8 % of it = 10 * 8/100 = 8 % of the tank is emptied. Remaining water after the second hour is 9.2%. Again in the third hour 10% tank is filled, it becomes 19.2%.
Again, 8% of it i.e. 19.2 * *8/100
= 1.536 % is emptied in the fourth hour ,
So remaining water is 19.2 – 1.536 = 17.66 %

Q.3 A garrison of 450 men have sufficient provision for 16 weeks .After 6 weeks 50 men more came in. How long the provision will last ?
A) 9
B) 10
C) 11
D) 12
Ans. A
16 weeks – 6 weeks = 10 weeks
For 450 men, 450 * 10
Here it is given,
Additional 50 men came,
Thus, 450*10/450+50= 9

Q.4 A can do a piece of work in 24 days. If b is 60% more efficient than A, then the no. of days required by B to do the same piece of work is :
A) 18
B) 15
C) 17
D) 12
Ans. B
1/24*160/100
=1/15
=15

Q.5 Two jars having equal capacity are filled with a mixture of alcohol & water in the proportion of 2:1 & 1:1. These two were emptied into a third jar. What is the proportion of water & alcohol in the third jar ?
A) 5/6 : 7/6
B) 5/3 : 7/3
C) 6/5 : 6/7
D) None of the above
Ans. A
Alcohol : Water = 2:1 & Alcohol : Water = 1:1
2/3 : 1/3 ½ : ½
So, water part= 1/3 + ½ ; Alcohol part = 2/3 +1/2
5/6 : 7/6