Aditi’s capital is ₹5,00,000, and the interest rate is \(10\% \text{ p.a.}\). However, if the interest is calculated for 9 months instead of the full year, the calculation becomes: \[ \text{Interest on Capital} = ₹5,00,000 \times 10\% \times \frac{9}{12}. \]
Step 1: Calculate annual interest:
Annual interest = \( ₹5,00,000 \times 10\% = ₹50,000. \)
Step 2: Adjust for 9 months:
Interest for 9 months: \[ ₹50,000 \times \frac{9}{12} = ₹45,000. \]
Conclusion:
The interest on Aditi’s capital for 9 months is \( ₹45,000 \).

A ladder of fixed length \( h \) is to be placed along the wall such that it is free to move along the height of the wall.
Based upon the above information, answer the following questions:
(iii) (b) If the foot of the ladder, whose length is 5 m, is being pulled towards the wall such that the rate of decrease of distance \( y \) is \( 2 \, \text{m/s} \), then at what rate is the height on the wall \( x \) increasing when the foot of the ladder is 3 m away from the wall?