In the semester break Golu's weight increases by 25%. By what percent should he reduce his weight so as to retain his original weight

Questions : In the semester break Golu's weight increases by 25%. By what percent should he reduce his weight so as to retain his original weight ?

Answer:  

 We can use a direct shortcut approach:

1. Let Golu's original weight be 100 kg (assuming for easy calculation).

2. His weight increases by 25%, so his new weight becomes:

   $$100 + 25 = 125 \text{ kg}$$

3. To return to 100 kg, the percentage decrease needed is:

   $$\frac{\text{Decrease}}{\text{New Weight}} \times 100 = \frac{25}{125} \times 100$$ $$= \frac{1}{5} \times 100 = 20\%$$

Final Answer:

Golu must reduce his weight by 20% to retain his original weight.

Additional Approach 

Here's how to solve this problem:

1. Assume an initial weight:

• To make the calculation easier, let's assume Golu's original weight was 100 kg.

2. Calculate the increased weight:

• A 25% increase means his weight increased by 25% of 100 kg, which is 25 kg.
• His new weight is 100 kg + 25 kg = 125 kg.

3. Calculate the weight loss needed:

• To return to his original weight, Golu needs to lose 25 kg.

4. Calculate the percentage decrease:

• The percentage decrease is the weight loss divided by the new weight, multiplied by 100.
• Percentage decrease = (25 kg / 125 kg) * 100 = 20%

Answer: Golu needs to reduce his weight by 20% to return to his original weight.

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