# Aptitude - Aptitude-Percentage

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Due to an increase in 30% in the price of eggs, 3 eggs less are available for Rs. 7.80. Find the present rate of eggs per dozen?

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Let the original price per egg be Rs x
Then increased price will be,
(130100x)=>7.80x−7.80130100x=3=>7.80x−780130x=3=>390x=234=>x=0.6Actual price was Rs 0.6Present price per dozen will beRs.(12∗130100∗0.6)=Rs.9.36

Two numbers are less than third number by 30% and 37% respectively. How much percent is the second number less than by the first?

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Let the third number is x.
then first number = (100-30)% of x
= 70% of x = 7x/10

Second number is (63x/100)

Difference = 7x/10 - 63x/100 = 7x/10

So required percentage is, difference is what percent of first number

=> (7x/100 * 10/7x * 100 )% = 10%

Total number of boys and girls in a school is 150. If the number of boys is x, then girls become x% of the total number of students. The number of boys is?

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If x% of y is 100 and y% of z is 200, then find the relation between x and z?

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It is , y% of z = 2(x% of y)
=> yz/100 = 2xy/100
=> z = 2x

A student multiplied a number by 3/5 instead of 5/3. What is the percentage error?

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