The problem presented in the image states the following:

• Piyush earned 40% more than Akash.
• Akash earned 20% less than Manan.
• The question asks: By what percentage does Piyush earn more than Manan?

Let's break it down step by step.

Step 1: Let Manan's earnings be 100 units.

If Akash earns 20% less than Manan, Akash earns: $Akash = 100 - 20\% \times 100 = 100 - 20 = 80 \text{ units}.$

Step 2: Piyush earns 40% more than Akash.

If Piyush earns 40% more than Akash, Piyush earns: $Piyush = 80 + 40\% \times 80 = 80 + 32 = 112 \text{ units}.$

Step 3: Percentage difference between Piyush and Manan.

Now, we calculate the percentage by which Piyush earns more than Manan. This is given by: $\text{Percentage increase} = \frac{Piyush - Manan}{Manan} \times 100 = \frac{112 - 100}{100} \times 100 = \frac{12}{100} \times 100 = 12\%.$

Thus, Piyush earns 12% more than Manan.

The correct answer is option B. 12%.

Would you like further details, or do you have any questions?

Here are some related questions to explore:

1. If Akash earned 10% more than Manan, how much would Piyush earn?
2. What would happen if Piyush earned 50% more than Akash instead of 40%?
3. If Manan’s earnings increased by 10%, how would that impact the percentage Piyush earns more than Manan?
4. How much less does Akash earn compared to Piyush in percentage terms?
5. What is the ratio of Akash’s earnings to Piyush’s earnings?

Tip: Always verify step-by-step whether the percentages refer to a base value before calculating increases or decreases.