CMA Foundation Paper 3 case studies
CMA Foundation Paper 3 · Put your knowledge to work in context.
Paper 3 of the CMA Foundation is the quantitative paper of the ICMAI entry-level programme: Business Mathematics and Statistics. It exists to check that a candidate who intends to move on to Cost and Management Accountancy can handle the numerical reasoning that later papers assume - ratio and proportion, equations, interest and annuity logic, area and volume, basic differentiation and its business uses, and then the descriptive statistics toolkit of averages, dispersion, correlation, regression and elementary probability. The CMA Foundation Paper 3 case studies are 5 cases and about 3,457 words.
1Partnership Profit Sharing and a Working-Capital Loan Choice
A trading firm has three partners. In the year just ended, A contributed ₹4,00,000 for the full 12 months, B contributed ₹6,00,000 but kept it invested for only 9 months, and C joined at the start of the fifth month with ₹8,00,000, which stayed in the business for the remaining 8 months.
633 words, about 3 min2Tank Geometry: Cylinder Versus Square-Base Cuboid
A fabrication workshop has won an order for a closed cylindrical steel tank to hold 20 m³ of edible oil. The site clearance fixes the cylindrical height at 4.0 m, and the client's available floor area is 22 m².
665 words, about 3 min3Optimal Output, a Specific Tax and a Proposed Price Cut
A furniture unit sells a single chair model. Weekly demand is modelled as p = 600 − 2q, where p is price in rupees and q is chairs sold per week.
679 words, about 3 min4Two Shaft Lines: Combined Standard Deviation, Consistency and Recalibration
Two production lines machine the same shaft, with a target diameter of 25.00 mm and a customer tolerance of 25.00 ± 0.20 mm. A random sample of 100 shafts from Line A gave a mean of 25.02 mm and a standard deviation of 0.08 mm.
721 words, about 4 min5Advertising, Sales and Two Regression Lines
A retailer has ten months of records on monthly advertising spend (x, ₹ lakh) and sales (y, ₹ lakh). The summary totals are: n = 10, Σx = 50, Σy = 400, Σx² = 280, Σy² = 16,600, Σxy = 2,120.
759 words, about 4 min