At the beginning of day 1 of a month, Rajesh has 500 eggs…

At the beginning of day 1 of a month, Rajesh has 500 eggs. He sells 20% of the eggs by the end of the day and added b% of the eggs at the beginning of the next day and sold 20% of the eggs at the end of the next day. This pattern continued up to the end of the third day of the month when he was left with 1024 eggs. The value of b is equal to:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 100.

Given:

Eggs at the beginning of day 1 = 500

Explanation:

According to the given question,

He sold 20% eggs and hence eggs left = $\frac{80}{100}$ × 500

He adds b% of this the next day

Hence, eggs at the beginning of the next day = $\frac{100 + b}{100}$ × $\frac{80}{100}$ × 500

This cycle continued till the end of day 3 when he was left with 1024 eggs

Hence, $\frac{80}{100}$ × $\frac{100 + b}{100}$ × $\frac{80}{100}$ × $\frac{100 + b}{100}$ × $\frac{80}{100}$ × 500 = 1024

Solving for b we get b = 100

Hence, the value of b is 100.

SSC CHSL 2024 PYQ — Question 66