A sum of money is divided among A, B, and C so that to each rupee A gets, B gets 65 paise and C gets 35 paise. If C’s share is Rs. 28, what is the total sum?

Introduction / Context:
This is a direct ratio problem with mixed units (rupees and paise). Convert all to a consistent unit or scale up by 100 to avoid decimals, then apply the part-to-total logic using the known share of C.

Given Data / Assumptions:

• A : B : C = 1.00 : 0.65 : 0.35
• C’s amount = Rs. 28

Concept / Approach:
Scale the ratio by 100 to eliminate decimals: 100 : 65 : 35, which simplifies by 5 to 20 : 13 : 7. With C corresponding to 7 parts, find the value of one part and then the total.

Step-by-Step Solution:
Scaled ratio = 100 : 65 : 35 = 20 : 13 : 7C corresponds to 7 parts = Rs. 28 ⇒ 1 part = 28 / 7 = Rs. 4Total parts = 20 + 13 + 7 = 40Total sum = 40 * Rs. 4 = Rs. 160

Verification / Alternative check:
Compute A = 20 * 4 = Rs. 80, B = 13 * 4 = Rs. 52, C = 7 * 4 = Rs. 28; sum = 160 and proportions 1 : 0.65 : 0.35 hold when normalized.

Why Other Options Are Wrong:
120, 140, 180, 200 do not align with C = 28 at 7 parts when the ratio is correctly simplified.

Common Pitfalls:
Forgetting to convert paise to rupees or not simplifying the ratio, leading to incorrect part values.

Final Answer:
Rs. 160