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Check whether a savings goal gained purchasing power

Real returns · Fictional case

The situation

Savings rise from ₹2 lakh to ₹2.16 lakh over one year and the relevant price basket rises 6%. Ignore tax.

Your task

Find the exact real return and ending value in starting-year rupees.

Reveal step-by-step solution
  1. Set up the problem

    Nominal growth factor is 2.16 ÷ 2.00 = 1.08. Price growth factor is 1.06.

  2. Work through the numbers

    Real return = 1.08 ÷ 1.06 − 1 ≈ 1.89%. Real ending value ≈ ₹2.16 lakh ÷ 1.06 = ₹2.038 lakh.

  3. Interpret the result

    Purchasing power rose by about ₹3,774. Use a price basket relevant to the actual goal.

What to remember

Divide growth factors over the same period. Subtracting rates is an approximation.

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