Let Harsh's inheritance be $x$ rupees.

Step 1: Loss due to film production

Harsh loses 32.5% of his inheritance in his effort to produce a film. Therefore, after this loss, the remaining amount is: $\text{Remaining after film production} = x - 0.325x = 0.675x$

Step 2: Loss due to theft

A taxi driver stole ₹1,00,000 from the remaining amount. Therefore, the amount left after this theft is: $\text{Remaining after theft} = 0.675x - 1,00,000$

Step 3: Donation to charity

Harsh donates 20% of the remaining amount to charity. Therefore, the donation is: $\text{Donation} = 0.20 \times (0.675x - 1,00,000)$ Thus, the amount left after the donation is: $\text{Remaining after donation} = (0.675x - 1,00,000) - 0.20 \times (0.675x - 1,00,000)$ This simplifies to: $\text{Remaining after donation} = 0.80 \times (0.675x - 1,00,000) = 0.54x - 80,000$

Step 4: Purchase of a flat

Harsh purchases a flat for ₹7,50,000. Therefore, the amount left after the purchase is: $\text{Remaining after flat purchase} = (0.54x - 80,000) - 7,50,000 = 0.54x - 8,30,000$

Step 5: Final amount left

We are told that after all these expenses, Harsh is left with ₹2,50,000. Therefore, we can set up the equation: $0.54x - 8,30,000 = 2,50,000$

Step 6: Solve for $x$

Now, solve for $x$: $0.54x = 2,50,000 + 8,30,000$ $0.54x = 10,80,000$ $x = \frac{10,80,000}{0.54} = 20,00,000$

Conclusion

The value of Harsh's inheritance was ₹20,00,000.

Would you like further explanation on any part of this solution? Here are some related questions:

1. What would happen if Harsh donated 30% instead of 20% to charity?
2. How much money did Harsh lose in total due to theft and donations combined?
3. What is the percentage of his inheritance that Harsh spent on purchasing the flat?
4. If Harsh had saved the ₹1,00,000 that was stolen, how much would he have left after all the expenses?
5. What percentage of his total inheritance is Harsh left with?

Tip: Always double-check percentage calculations, as small errors can significantly impact your final answer.