correct answer is: d) Rs 9.6

Explanation

To find the required least amount, we need to find the LCM of the given Rupees.
Let,
Rs 2.4 = Rs 24
Rs 4.8 = Rs 48
Rs 9.6 = Rs 96
So, the LCM of Rs 24,48 and 96 is:
\rightarrow2\times2\times2\times2\times2\times3=96
So that, LCM of Rs 2.4, Rs 4.8 and Rs 9.6 is = Rs 9.6
\therefore Rs 9.6 is the least amount that will give integral quotients when divided by Rs 2.4, Rs 4.8, and Rs 9.6.
Ans: Rs 9.6.

An additional variation of this particular math query can be considered:

1. What is the smallest sum that, when divided by Rs 2.4, Rs 4.8, and Rs 9.6, yields integral quotients?
2. Find the least total that, upon division by Rs 2.4, Rs 4.8, and Rs 9.6, produces integer quotients.
3. What is the smallest possible value that, when divided by Rs 2.4, Rs 4.8, and Rs 9.6, gives integral answers?
4. Calculate the minimum amount needed so that when divided by Rs 2.4, Rs 4.8, and Rs 9.6, the result is a whole number.