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The ladder / Level 1 · Trader/ Business math

Trader business math: mixed quiz

Twelve questions across margins, discounts, GST, break-even, interest, stock, cash cycle, reordering, average cost and units.

12 questions drawn from all the trader business-math topics, from basic to advanced. Each answer links back to its topic page if you want to revise.

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, and days to one decimal place. Break-even quantities and reorder levels are rounded up to the next whole unit, because rounding down would leave you short. Economic order quantity is rounded to the nearest whole unit. Interest for a number of days uses a 365-day year. All examples and quiz questions are Hypothetical: they show the method, not real prices or rates.

Mixed quiz

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. Break-even · BasicFixed costs are ₹24,000 a month. You buy at ₹70 and sell at ₹82, with no other variable costs. What is the break-even quantity?
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    Answer: (c) 2,000 units

    Contribution = ₹82 − ₹70 = ₹12. Break-even = ₹24,000 ÷ ₹12 = 2,000 units.

    Why the other options are wrong:

    • (a) That divides by the selling price, not the contribution.
    • (b) That divides by the cost price.
    • (d) A decimal slip: ₹24,000 ÷ ₹12 is 2,000.

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  2. Discounts · IntermediateList price ₹8,000 with a chain discount of 20% + 5%. What is the net price?
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    Answer: (d) ₹6,080

    ₹8,000 × 0.80 = ₹6,400; ₹6,400 × 0.95 = ₹6,080.

    Why the other options are wrong:

    • (a) That takes a flat 25% off.
    • (b) That applies only the 20%.
    • (c) That applies only the 5%.

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  3. Margin and markup · AdvancedYou buy a case for ₹950. Freight is ₹30 and handling ₹20 per case. What price gives a 12% margin on landed cost?
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    Answer: (c) ₹1,136.36

    Landed cost = ₹950 + ₹30 + ₹20 = ₹1,000. Price = ₹1,000 ÷ 0.88 = ₹1,136.36.

    Why the other options are wrong:

    • (a) That is a 12% markup on landed cost.
    • (b) That ignores freight and handling.
    • (d) That is a 12% markup on the purchase price only.

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  4. Stock turnover · BasicYour stock turns over 8 times a year. About how many days does stock sit with you?
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    Answer: (b) 45.6 days

    365 ÷ 8 = 45.6 days.

    Why the other options are wrong:

    • (a) That is the turnover, not days.
    • (c) That multiplies instead of dividing.
    • (d) A decimal slip.

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  5. GST · IntermediateA price of ₹1,180 includes 18% GST. How much GST is inside it?
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    Answer: (b) ₹180.00

    GST = ₹1,180 × 18 ÷ 118 = ₹180. Taxable value = ₹1,000.

    Why the other options are wrong:

    • (a) That takes 18% of the inclusive price; GST is 18% of the taxable value.
    • (c) That is the taxable value, not the GST.
    • (d) A decimal slip on the wrong method (1.8% of ₹1,180).

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  6. Simple interest · AdvancedYou get ₹1,00,000 today and must repay ₹1,05,000 after 45 days. What simple annual rate is that (365-day year)?
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    Answer: (d) 40.56%

    R = ₹5,000 × 100 ÷ (₹1,00,000 × 45 ÷ 365) = 40.56% per annum.

    Why the other options are wrong:

    • (a) 5% is for 45 days, not a year.
    • (b) That treats 45 days as a month.
    • (c) That uses a 360-day year.

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  7. Cash cycle · BasicInventory days 25, debtor days 40, creditor days 30. Cash conversion cycle?
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    Answer: (b) 35.0 days

    25 + 40 − 30 = 35 days.

    Why the other options are wrong:

    • (a) Creditor days are subtracted, not added.
    • (c) That subtracts debtor days.
    • (d) That leaves out creditor days.

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  8. Reorder and order quantity · IntermediateAnnual demand 4,800 units, cost per order ₹300, holding cost ₹8 per unit per year. What is the EOQ?
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    Answer: (a) 600 units

    √(2 × 4,800 × 300 ÷ 8) = √3,60,000 = 600 units.

    Why the other options are wrong:

    • (b) That forgets the square root.
    • (c) That leaves out the 2 in the formula.
    • (d) That is a quarter of annual demand, not the EOQ.

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  9. Compound interest · AdvancedA finance company charges 18% per annum compounded monthly (1.5% a month). Effective annual rate?
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    Answer: (c) 19.56%

    1.015¹² − 1 = 19.56%.

    Why the other options are wrong:

    • (a) That ignores compounding.
    • (b) That is quarterly compounding.
    • (d) That multiplies 18% by 12.

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  10. Weighted average cost · BasicYou buy 60 units at ₹100 and 40 units at ₹110. What is the weighted average cost per unit?
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    Answer: (a) ₹104

    (₹6,000 + ₹4,400) ÷ 100 = ₹104.

    Why the other options are wrong:

    • (b) That is the simple average of the two prices.
    • (c) That swaps the quantities.
    • (d) That adds the prices.

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  11. Units and unit prices · IntermediateA 400 g pack costs ₹48 and a 1.5 kg pack costs ₹172.50. Which is cheaper per kg?
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    Answer: (b) The 1.5 kg pack: ₹115 per kg against ₹120

    ₹48 ÷ 0.4 = ₹120 per kg; ₹172.50 ÷ 1.5 = ₹115 per kg.

    Why the other options are wrong:

    • (a) Compare per kg, not the pack price.
    • (c) ₹120 and ₹115 are not the same.
    • (d) ₹172.50 ÷ 1.5 is ₹115, not ₹125.

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  12. Cash cycle · AdvancedCredit sales are ₹1,09,50,000 a year. You cut debtor days from 45 to 30. Your bank limit costs 12% a year. What is the yearly interest saving?
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    Answer: (c) ₹54,000

    Daily credit sales = ₹30,000. 15 days × ₹30,000 = ₹4,50,000 released. × 12% = ₹54,000 a year.

    Why the other options are wrong:

    • (a) That is the cash released, not the interest saved.
    • (b) That applies 12% to all receivables at 45 days.
    • (d) That uses 10 days instead of 15.

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