Monthly-to-annual income via ratio scaling: Sita, Riya, and Kunal earn monthly incomes in the ratio 84 : 76 : 89. If Riya’s annual income is ₹ 456000, find the sum of Sita’s and Kunal’s annual incomes.

Introduction / Context:
Transforming a ratio into actual figures starts by finding the value of one “ratio part.” Since we know Riya’s annual total, we can deduce her monthly, compute the part value, and then obtain the others’ annual amounts.

Given Data / Assumptions:

• Monthly ratio S : R : K = 84 : 76 : 89.
• Riya’s annual = ₹ 456000 ⇒ monthly = ₹ 38000.
• Find annual(Sita) + annual(Kunal).

Concept / Approach:
Each “part” equals Riya’s monthly divided by 76. Multiply the part by 84 for Sita’s monthly and by 89 for Kunal’s monthly; then annualize (×12) and add.

Step-by-Step Solution:
Value per part = 38000 / 76 = 500.Sita monthly = 84 * 500 = 42000; Kunal monthly = 89 * 500 = 44500.Annuals: Sita = 42000 * 12 = 504000; Kunal = 44500 * 12 = 534000.Sum = 504000 + 534000 = ₹ 1038000.

Verification / Alternative check:
Riya monthly = 76 * 500 = 38000 ⇒ annual 456000 matches the given. Ratios hold exactly when all are divided by 500.

Why Other Options Are Wrong:

• ₹ 195000 is far too small (monthly-level figure).
• ₹ 983500 and ₹ 1130000 are off the computed sum from exact parts.

Common Pitfalls:

• Using annual ratio parts directly without first converting Riya’s annual to monthly.

Final Answer:
₹ 1038000