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The ladder / Level 2 · Dealer/ Business math

Return on investment and payback for a dealership

ROI on the total investment, payback with equal and uneven cash flows, and comparing two showrooms.

How numbers are rounded on these pages. Calculations are done at full precision and rounded only at the end, half up. Rupee amounts are rounded to the nearest rupee unless shown with paise, in which case to the nearest paisa. Percentages are shown to two decimal places, days to one decimal place, and payback periods in years to two decimal places. Interest for a number of days uses a 365-day year (simple interest). Break-even job counts and units needed to cover a cost are rounded up to the next whole number. All examples and quiz questions are Hypothetical: they show the method, not real prices or rates.

Return on investment and payback for a dealership

Before opening or upgrading a showroom, ask two questions. Return on investment (ROI): each year, how much profit does the business earn for every ₹100 put in? Payback period: how many years until the cash coming in has repaid the money put in?

Count everything you invest: fit-out to brand standards, security deposit, opening stock and other working capital. For payback, use cash coming in, which is net profit plus depreciation (depreciation is a cost in the accounts but not a cash payment). Both measures are simple and ignore the timing of money; for that, see NPV on the new-products investment page.

The standard formulas

Return on investment (accounting rate of return)ROI % = Average annual net profitTotal investment × 100
Annual net cash inflow = Net profit + Depreciation
PaybackPayback period = InvestmentAnnual net cash inflow  (equal yearly cash flows)
Uneven cash flows: Payback = Years before full recovery + Amount still to recoverCash flow in the next year

Terms used

Investment
All the money put in at the start: fit-out, equipment, deposits, opening stock and working capital.
Net profit
Profit after all expenses, including depreciation and interest (before or after tax; be consistent).
Depreciation
The share of the cost of fixed assets, such as showroom fit-out, charged as an expense each year.
Payback period
Time for cumulative cash inflows to equal the investment.

Worked examples

HypotheticalBasicROI on a new showroom

A dealer invests ₹50,00,000: fit-out ₹20,00,000, security deposit ₹10,00,000, stock and working capital ₹20,00,000. Expected annual net profit is ₹7,50,000.

  • ROI = ₹7,50,000 ÷ ₹50,00,000 × 100 = 15.00%

HypotheticalIntermediatePayback with equal cash flows

Same showroom. Depreciation on the fit-out is ₹2,50,000 a year.

  • Annual net cash inflow = ₹7,50,000 + ₹2,50,000 = ₹10,00,000
  • Payback = ₹50,00,000 ÷ ₹10,00,000 = 5.00 years

HypotheticalAdvancedPayback with uneven cash flows

A ₹40,00,000 dealership expects net cash inflows of ₹6,00,000, ₹9,00,000, ₹12,00,000, ₹14,00,000, ₹15,00,000 in years 1 to 5.

  • End of year 1: cumulative ₹6,00,000
  • End of year 2: cumulative ₹15,00,000
  • End of year 3: cumulative ₹27,00,000
  • End of year 4: cumulative ₹41,00,000
  • After year 3, ₹13,00,000 is still to recover; year 4 brings ₹14,00,000.
  • Payback = 3 + ₹13,00,000 ÷ ₹14,00,000 = 3.93 years

Quiz: return on investment and payback for a dealership

Pick an answer to see at once whether it is right, with a short explanation. Each question takes one try; your score appears at the end. No answers are sent anywhere. (Without JavaScript, open “Show answer” under each question.)

  1. ROI and payback · BasicYou invest ₹30,00,000 and expect an annual net profit of ₹4,50,000. What is the ROI?
    Show answer

    Answer: (a) 15.00%

    ₹4,50,000 ÷ ₹30,00,000 × 100 = 15.00%.

    Why the other options are wrong:

    • (b) That divides the wrong way round.
    • (c) A decimal slip.
    • (d) A slip of ten.
  2. ROI and payback · BasicYou invest ₹24,00,000. Net profit is ₹4,00,000 a year and depreciation ₹2,00,000 a year. Payback period?
    Show answer

    Answer: (b) 4.00 years

    ₹24,00,000 ÷ (₹4,00,000 + ₹2,00,000) = 4.00 years.

    Why the other options are wrong:

    • (a) That uses profit only; payback uses cash flow (profit + depreciation).
    • (c) That divides the wrong way round.
    • (d) That uses depreciation only.
  3. ROI and payback · IntermediateInvestment ₹20,00,000; cash inflows ₹5,00,000, ₹7,00,000, ₹8,00,000 and ₹10,00,000 in years 1 to 4. Payback period?
    Show answer

    Answer: (b) 3.00 years

    Cumulative: ₹5L, ₹12L, ₹20L. Fully recovered at the end of year 3: 3.00 years.

    Why the other options are wrong:

    • (a) That uses the average cash flow; with uneven flows, add up year by year.
    • (c) Recovery is complete at the end of year 3.
    • (d) That divides by one year's cash flow.
  4. ROI and payback · IntermediateInvestment ₹35,00,000; cash inflows ₹8,00,000, ₹10,00,000, ₹12,00,000 and ₹15,00,000 in years 1 to 4. Payback period?
    Show answer

    Answer: (c) 3.33 years

    After year 3: ₹30 lakh back, ₹5 lakh to go. Year 4 brings ₹15 lakh. 3 + 5 ÷ 15 = 3.33 years.

    Why the other options are wrong:

    • (a) After 3 years only ₹30 lakh is back.
    • (b) Recovery finishes part-way through year 4.
    • (d) That divides by one year's cash flow.
  5. ROI and payback · AdvancedFit-out ₹18,00,000 (depreciated straight line over 5 years), security deposit ₹7,00,000, working capital ₹15,00,000. Net profit after depreciation is ₹6,00,000 a year. ROI on total investment?
    Show answer

    Answer: (c) 15.00%

    Total investment = ₹40,00,000. ₹6,00,000 ÷ ₹40,00,000 × 100 = 15.00%.

    Why the other options are wrong:

    • (a) That counts only the fit-out; deposit and working capital are investment too.
    • (b) That uses cash flow (profit + depreciation); ROI uses net profit.
    • (d) That leaves out the security deposit; it is money locked in too.
  6. ROI and payback · AdvancedShowroom A needs ₹60,00,000 and earns 14% ROI. Showroom B needs ₹40,00,000 and earns ₹6,00,000 a year. Which has the higher ROI?
    Show answer

    Answer: (c) B: 15.00% against 14.00%

    B: ₹6,00,000 ÷ ₹40,00,000 × 100 = 15.00%, higher than A's 14.00%.

    Why the other options are wrong:

    • (a) Bigger profit on a bigger investment is not a higher return.
    • (b) B is 15.00%, A is 14.00%.
    • (d) That divides the wrong way round.