Percentages Problem (Level 1)

Percentages Problem (Level 1) 

On the april 1, 2005 my salary increased from rs.10,000 to rs.16,000. Simultaneously the rate of income tax decreased by 37.5%, so the amount of income tax paid be me remains constant what is the value of income tax paid be me:

Solution:

Since we don’t have sufficient data. Further any value is possible as the required income tax.

The average of a set of whole numbers is 27.2. When the 20% of the elements (ie numbers) are eliminated from the set of numbers then the average becomes 34. The number of elements in the new set of numbers can be: 
a)27      b)35        c)52          d)63

Solution:

Only C is correct since it is divisible by 4.
Let the original number of the element be x then the new no. of elements will be
4x/5 = K
So K must be divisible by 4
Since,   X = K * 5/4

In a class, the no. of boys is more than the no. boys is more than the no. of girls by 12% of the total strength. The ratio of boys to girls is:
a) 15:11            b) 11:14         c)14:11          d)8:11

Solution:

Go through option
Boys                Girls                  Total
14                     11                       25
56                     44                       100
------(12)--------
Since out of 100 students no. of boys are greater than the no. of girls by 12 i.e 12% hence it is correct.

The population of a village is 5000 and it increases at the rate of 2% every year. After 2 years, the population will be:

Solution:

Population after 2 years = 5000 ( 1 + 2/100)^2
5000 * 51/50 * 51/50 = 5202

A customer asks for the production of x number of goods. The company produces y number of goods daily. Out of which z% are unfit for sale. The order will be completed in:

Solution:

Daily supply = (100 –z)% of y = (100-z)y/100
Required no. of days = x * 100/(100-z)y