5/12 of an amount equals 3 3/4 of ₹100. Find the amount.

Introduction / Context:
This restatement clarifies the same computation: turning a mixed fraction into an improper fraction and solving a simple linear equation for the unknown total amount.

Given Data / Assumptions:

• (5/12) * X = (3 3/4) * 100.

Concept / Approach:
Compute the right-hand side and multiply by the reciprocal of 5/12 to isolate X. Keep arithmetic exact to avoid rounding errors in currency problems.

Step-by-Step Solution:
3 3/4 = 15/4; (15/4) * 100 = 375.(5/12) * X = 375 → X = 375 * (12/5).Compute: 375 * 12 = 4500; 4500 / 5 = 900.

Verification / Alternative check:
(5/12) of 900 is 375, which matches (3 3/4) of ₹100, so the solution is consistent.

Why Other Options Are Wrong:
All other listed amounts do not yield 375 when multiplied by 5/12.

Common Pitfalls:
Misreading 3 3/4; arithmetic errors when multiplying by reciprocals; attempting unnecessary decimal conversions before finishing fraction arithmetic.

Final Answer:
₹ 900