IPMAT Rohtak 2019 (QA) - Due to increase of 20% in the price of eggs, 2 eggs less are available for Rs 24. The present rate of eggs per dozen is | PYQs + Solutions

IPMAT Rohtak 2019

Arithmetic

Profit & Loss

Medium

Due to increase of 20% in the price of eggs, 2 eggs less are available for Rs 24. The present rate of eggs per dozen is

Rs 28.8/dozen

Rs 24.8/dozen

Rs 25.8/dozen

Rs 30/dozen

Correct Option: 1

Let original price per egg be

x

rupees

Initially:

\newline

For Rs

24

, number of eggs =

\frac{24}{x}

After

20\%

increase:

\newline

New price per egg =

1.2x

rupees

New number of eggs =

\frac{24}{1.2x}

Given that difference =

2

eggs

\frac{24}{x} - \frac{24}{1.2x} = 2

\frac{24}{x} - \frac{20}{x} = 2

\frac{4}{x} = 2

\newline

x = 2

rupees per egg

Present price =

1.2 \times 2 = 2.4

rupees per egg

For one dozen eggs =

2.4 \times 12 = 28.8

rupees

Therefore, the present rate is Rs

28.8

per dozen.