A profit of Rs. 1,35,200 has to be divided among three partners Aashay, Bhairav and Chetan in the ratio 4 : 3 : 6. How much money, in rupees, does Chetan receive from this profit?

Introduction / Context:
This is a straightforward ratio-based profit-sharing question. The total profit is known and the ratio in which it must be divided among three partners is given. Students must apply the concept of proportional division to determine the exact amount each partner receives. Here, we are specifically asked for Chetan's share. Such questions are common in basic arithmetic and partnership topics and help reinforce the idea of distributing a total amount according to a given ratio.

Given Data / Assumptions:
- Total profit to be shared = Rs. 1,35,200.- Profit-sharing ratio among Aashay, Bhairav and Chetan is 4 : 3 : 6.- We need to find Chetan's share of the profit.- No time factor or extra conditions such as working or sleeping partners are mentioned.

Concept / Approach:
The core concept is division of a total quantity in a given ratio. If a total S is to be divided in the ratio p : q : r, then the sum of the parts is p + q + r. Each person's share is the fraction of the total given by their ratio part divided by the total of the parts. Here, we compute the total of the ratio 4 + 3 + 6, then calculate Chetan's fractional share as 6 divided by this sum, and apply it to the profit of Rs. 1,35,200.

Step-by-Step Solution:
Step 1: Ratio of shares is Aashay : Bhairav : Chetan = 4 : 3 : 6.Step 2: Sum of the ratio parts = 4 + 3 + 6 = 13.Step 3: Chetan's fraction of the total profit is 6 / 13.Step 4: Total profit = Rs. 1,35,200.Step 5: Chetan's share = (6 / 13) * 1,35,200.Step 6: First compute 1,35,200 / 13.- 13 * 10,000 = 1,30,000, leaving 5,200.- 13 * 400 = 5,200.So 1,35,200 / 13 = 10,400.Step 7: Now multiply by 6: Chetan's share = 10,400 * 6 = 62,400.Therefore, Chetan gets Rs. 62,400.

Verification / Alternative check:
We can verify by calculating all three shares.Each part value = 1,35,200 / 13 = 10,400.Aashay's share = 4 * 10,400 = 41,600.Bhairav's share = 3 * 10,400 = 31,200.Chetan's share = 6 * 10,400 = 62,400.Check the sum: 41,600 + 31,200 + 62,400 = 1,35,200, which matches the total profit. Hence, the distribution is correct.

Why Other Options Are Wrong:
- 31200: This corresponds to Bhairav's share (3 parts), not Chetan's share.- 41600: This is Aashay's share (4 parts), not Chetan's share.- 93600: This would require Chetan to have 9 parts out of 13, which he does not; it is more than his entitled share based on the ratio.

Common Pitfalls:
- Adding the ratio numbers incorrectly or forgetting to include one of the partners when summing.- Failing to divide the total profit by the sum of the ratio parts before assigning individual shares.- Mixing up whose ratio part corresponds to which partner while matching the options.- Performing percentage calculations instead of direct ratio-based division, which is more straightforward here.

Final Answer:
Chetan receives Rs. 62,400 from the profit.