Ch 5 · Unit 5 · Group C (20 marks) · Numerical

Business
Arithmetic

75 MCQs 50 Flashcards Numerical + worked examples NCERT Class 12
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Chapter Overview

Chapter 5 is the only fully numerical chapter in CBSE Class 12 Entrepreneurship. It teaches the math an entrepreneur must run before, during, and after launching a venture: how to price a product, how many units must sell to break even, how much inventory to order, what return investors will earn, and how much working capital is needed to keep the lights on month-to-month.

The core building blocks are Unit Cost (Total Cost ÷ Units), Unit Price / Sale, Fixed vs Variable Costs, and the Contribution per Unit (Selling Price − Variable Cost). These feed into the most-tested formula in the chapter: the Break-Even Point — the number of units a venture must sell to cover all fixed costs, beyond which every additional unit generates profit equal to contribution.

Other formulas covered: Margin of Safety (Actual Sales − BEP Sales), EOQ (Economic Order Quantity, balancing ordering cost vs holding cost), ROI (Return on Investment), ROE (Return on Equity), Working Capital (Current Assets − Current Liabilities), and Cash Flow (Inflow − Outflow). Every formula is paired with a worked Indian-rupee example so the maths is grounded in real numbers.

What You'll Learn
Key Formulas
Formula 1
Break-Even Point
BEP (units) = Fixed Cost ÷ Contribution per Unit · Contribution = SP − VC. e.g. FC ₹2L, SP ₹100, VC ₹60 → BEP = 2,00,000 ÷ 40 = 5,000 units.
Formula 2
Margin of Safety
MoS = Actual Sales − BEP Sales · The buffer between current sales and the break-even line. Higher MoS = more cushion against a downturn.
Formula 3
Contribution
Contribution = Selling Price − Variable Cost · The amount each unit contributes towards covering Fixed Costs (and then to Profit, after BEP is crossed).
Formula 4
EOQ
EOQ = √(2 × A × O ÷ C) where A = annual demand, O = ordering cost / order, C = carrying cost / unit / year. Order quantity that minimises total inventory cost.
Formula 5
ROI & ROE
ROI = (Profit ÷ Total Investment) × 100 · ROE = (PAT ÷ Shareholders' Equity) × 100 · ROI is total-capital efficiency; ROE is owner-only return.
Formula 6
Working Capital
WC = Current Assets − Current Liabilities · Positive WC = liquid; negative WC = at risk of cash crunch. Decides if rent + salaries can be paid next month.
Sample MCQs
Q1. A venture has Fixed Costs of ₹3,00,000, Selling Price per unit ₹150 and Variable Cost per unit ₹90. Its Break-Even Point in units is:
A. 2,000 units
B. 3,333 units
C. 5,000 units
D. 6,000 units
Contribution per unit = 150 − 90 = ₹60. BEP = Fixed Cost ÷ Contribution per Unit = 3,00,000 ÷ 60 = 5,000 units. Below this volume the venture loses money; above it, every unit adds ₹60 to profit.
Q2. A firm has annual demand of 8,000 units, ordering cost of ₹100 per order, and carrying cost of ₹4 per unit per year. The Economic Order Quantity is:
A. 200 units
B. 400 units
C. 632 units
D. 800 units
EOQ = √(2 × A × O ÷ C) = √(2 × 8,000 × 100 ÷ 4) = √4,00,000 ≈ 632 units. This is the order size that minimises the sum of ordering cost (more orders = more setup cost) and holding cost (bigger orders = more storage cost).