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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.

  • Rs. 9.36
  • Rs. 10.36
  • Rs. 11.36
  • Rs. 12.36

Answer: Option A

Explanation:

Let the original price per egg be Rs x
Then increased price will be,
\begin{aligned}
\left(\frac{130}{100}x\right) \\
=> \frac{7.80}{x}-\frac{7.80}{\frac{130}{100}x} = 3\\
=> \frac{7.80}{x}-\frac{780}{130x} = 3 \\
=> 390x = 234 \\
=> x = 0.6 \\

\text{Actual price was Rs 0.6} \\
\text{Present price per dozen will be} \\
Rs.\left(12*\frac{130}{100}*0.6 \right) \\
= Rs. 9.36
\end{aligned}

Similar Questions :

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

  • 8%
  • 9%
  • 10%
  • 11%

Answer: Option C

Explanation:

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%

2. If sales tax is reduced from 5% to 4%, then what difference it will make if you purchase an item of Rs. 1000

  • 10
  • 20
  • 30
  • 40

Answer: Option A

Explanation:

Clue: Answer will be 5% of 1000 - 4% of 1000

3. If number x is 10% less than another number y and y is 10% more than 125, then find out the value of x

  • 123.55
  • 123.65
  • 123.75
  • 123.85

Answer: Option C

4. 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

  • 50
  • 60
  • 70
  • 80

Answer: Option B

Explanation:

Clearly,
x% of 150 = 150 - x [as x is number of boys]

\begin{aligned}
=> x + \frac{x}{100} * 150 = 150 \\

=> \frac{5}{2}x = 150 \\

=> x = 60 \\
\end{aligned}

5. Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are

  • 42,30
  • 42,31
  • 42,32
  • 42,33

Answer: Option D

Explanation:

Let their marks be (x+9) and x.
Then, x+9 = 56/100(x + 9 +x)
=> 25(x+9)
=> 14 (2x + 9)
=> 3x = 99
=> x = 33.
So, their marks are 42 and 33

Read more from - Percentage Questions Answers
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