Navaneet has three times as much money as Poonam, and Poonam has 25% more money than Hebah. If the average amount of money possessed by the three of them is Rs 350, how much money does Navaneet have?

Introduction:
This question connects ratios, percentages and averages. Three people, Navaneet, Poonam and Hebah, have related amounts of money. Using these relationships and the given average, we must determine the exact amount that Navaneet has.

Given Data / Assumptions:
Let Hebah's money be H rupees. Poonam has 25% more than Hebah, so Poonam's money = H + 0.25H = 1.25H. Navaneet has three times as much money as Poonam, so Navaneet's money = 3 * 1.25H = 3.75H. Average money of the three is Rs 350.

Concept / Approach:
The average of three numbers is: Average = (Sum of the three amounts) / 3. We express all three amounts in terms of H, compute the sum, equate it to 3 * 350 and solve for H. Then we find Navaneet's money using the relation Navaneet = 3.75H.

Step-by-Step Solution:
Step 1: Express all amounts in terms of H. Hebah = H. Poonam = 1.25H. Navaneet = 3.75H. Step 2: Compute the sum of their amounts. Sum = H + 1.25H + 3.75H. Sum = (1 + 1.25 + 3.75)H = 6H. Step 3: Use the average condition. Average = 350, so (Sum) / 3 = 350. 6H / 3 = 350. 2H = 350. H = 350 / 2 = 175. Step 4: Find Navaneet's money. Navaneet = 3.75H = 3.75 * 175. Compute 3.75 * 175 = (375 * 175) / 100 = 656.25. So Navaneet has Rs 656.25.

Verification / Alternative Check:
Hebah = 175. Poonam = 1.25 * 175 = 218.75. Navaneet = 656.25. Sum = 175 + 218.75 + 656.25 = 1050. Average = 1050 / 3 = 350, which matches the given average.

Why Other Options Are Wrong:
Rs 175: This is Hebah's amount, not Navaneet's. Rs 220.75 and Rs 218.55: These are close to Poonam's figure but do not match the required multiple of 175. Rs 525: This would give a total and average inconsistent with Rs 350.

Common Pitfalls:
Students often misinterpret “25% more” as simply adding 25 instead of adding 25% of Hebah's amount. Another mistake is to attempt to work only with the averages without translating everything into a single variable. Always set one of the amounts as a base variable and express all others in terms of it.

Final Answer:
Navaneet has Rs 656.25.