AIOU Solved Assignment Code 1429 Business Mathematics & Statistics Autumn 2025 & Spring 2026 PDF Free Download

Are you looking for the updated and complete AIOU Solved Assignment Code 1429 Business Mathematics & Statistics for the Autumn 2025 and Spring 2026 academic semesters? You have arrived at the official, student-verified study resource portal! At aiou.net.pk, we provide 100% accurate, syllabus-aligned, and top-scoring solved assignments in free downloadable PDF format tailored specifically for BA / B.Com / Associate Degree (ADC / ADA) students of Allama Iqbal Open University (AIOU).

Every assignment solution below has been meticulously prepared by seasoned educationists and subject matter experts in accordance with the official 9-unit textbook syllabus issued by the university. Whether you need model answers for Assignment No. 1 (Units 1–5) or Assignment No. 2 (Units 6–9), this comprehensive study guide equips you with authentic questions, in-depth academic solutions, textbook syllabus outlines, submission deadline tables, and step-by-step submission instructions to help you secure 80+ marks in your continuous coursework assessment.

Course Code 1429 Specification & Academic Overview

Before preparing and submitting your coursework, review the official academic parameters for Course Code 1429 outlined in the university prospectus:

Course Parameter	Official Academic Specification
Course Code	Code 1429
Subject Name	Business Mathematics & Statistics
Academic Program	BA / B.Com / Associate Degree (ADC / ADA)
Program Level	Bachelor / Undergraduate
Credit Hours	6 Credit Hours (Core Commerce)
Minimum Passing Marks	40% (Continuous Assessment + Exam)
Assignment Submission Mode	Handwritten (Dispatch to Assigned Tutor via Post)
Official Textbooks & Soft Books	Download Code 1429 Book PDF
Tutor Allocation & Address Check	Find Assigned Tutor on CMS Portal
CMS Portal Student Login	AIOU CMS Portal Login Guide

Download AIOU Solved Assignment Code 1429 Free PDF

Students can download both solved assignments for Course Code 1429 for the current academic session completely free of charge. Click on the respective download buttons below to access high-quality reference solutions:

AIOU Solved Assignment Code 1429 Solved Questions & Model Answers

To assist students who wish to understand the conceptual depth required for university examinations, we have transcribed verified model solutions to key assignment questions below:

Assignment No. 1 – Question 1

Question: Derive the compound interest formula and calculate the accumulated amount on Rs. 250,000 invested at 9% per annum compounded semi-annually for 4 years.

Model Answer:

The compound interest formula is A = P(1 + r/n)^(nt), where P is principal (Rs. 250,000), r is annual interest rate (0.09), n is compounding periods per year (2 for semi-annual), and t is time in years (4). Here, r/n = 0.09 / 2 = 0.045, and total compounding cycles nt = 4 * 2 = 8. Calculating: A = 250000 * (1.045)^8. Since (1.045)^8 ≈ 1.4221006, the accumulated future value A = 250,000 * 1.4221006 = Rs. 355,525.15. The compound interest earned equals A – P = Rs. 105,525.15.

Assignment No. 1 – Question 2

Question: Solve the following system of linear equations using Cramer’s Rule: 3x + 2y = 22 and 5x – y = 15.

Model Answer:

To solve using Cramer’s Rule, form the coefficient matrix A = [[3, 2], [5, -1]]. Determinant |A| = (3)(-1) – (2)(5) = -3 – 10 = -13. Matrix A_x replaces the x-column with constants [[22, 2], [15, -1]], giving determinant |A_x| = (22)(-1) – (2)(15) = -22 – 30 = -52. Matrix A_y replaces the y-column with constants [[3, 22], [5, 15]], giving determinant |A_y| = (3)(15) – (22)(5) = 45 – 110 = -65. By Cramer’s Rule: x = |A_x| / |A| = -52 / -13 = 4; y = |A_y| / |A| = -65 / -13 = 5. Checking: 3(4) + 2(5) = 12 + 10 = 22 (Verified).

Assignment No. 1 – Question 3

Question: Define the Arithmetic Mean, Median, and Mode for grouped frequency data and evaluate their relative strengths.

Model Answer:

For grouped frequency data, the Arithmetic Mean is calculated as X̄ = Σ(fm) / Σf, where f is class frequency and m is class midpoint; it utilizes every numeric observation but remains vulnerable to extreme outliers. The Median is the 50th percentile value, computed via L + [(h/f) * (N/2 – c)]; it is resistant to skewness and ideal for income distributions. The Mode is the most frequent value, determined by L + [ (f_m – f_1) / ((f_m – f_1) + (f_m – f_2)) ] * h; it provides rapid modal identification in retail merchandising.

Assignment No. 2 – Question 1

Question: Compute the Standard Deviation and Coefficient of Variation for a dataset with Σf = 50, Σfx = 1250, and Σfx² = 34500.

Model Answer:

First, find the arithmetic mean X̄ = Σfx / Σf = 1250 / 50 = 25. The variance s² = (Σfx² / Σf) – (X̄)² = (34500 / 50) – (25)² = 690 – 625 = 65. The standard deviation s is the positive square root: s = √65 ≈ 8.062. The Coefficient of Variation (CV) measures relative risk or dispersion: CV = (s / X̄) * 100% = (8.062 / 25) * 100% = 32.25%. A lower CV indicates higher consistency across comparative datasets.

Assignment No. 2 – Question 2

Question: Explain the difference between Laspeyres Price Index and Paasche Price Index with standard algebraic formulas.

Model Answer:

Both indices quantify macroeconomic price level movements relative to a base period. Laspeyres Price Index uses base-period quantities (q₀) as fixed weights: P_L = [Σ(p₁ * q₀) / Σ(p₀ * q₀)] * 100; it tends to overestimate inflation because it ignores consumer substitution toward cheaper alternatives. Conversely, Paasche Price Index employs current-period quantities (q₁) as weights: P_P = [Σ(p₁ * q₁) / Σ(p₀ * q₁)] * 100; it tends to underestimate inflation because it overweights goods whose quantities increased due to lower relative prices.

Complete 9-Unit Textbook Syllabus for Course Code 1429

Allama Iqbal Open University structures this 6-credit / 3-credit curriculum across nine cohesive instructional units. Students must thoroughly study each unit to master both assignment questions and final examination papers:

Unit Number	Official Unit Title	Core Conceptual Focus
Unit 1	Basic Mathematical Operations & Fractions	Ratios, compound proportions, percentages, markups, markdowns, and practical business discounting.
Unit 2	Linear Equations & Coordinate Systems	Solving simultaneous linear equations, slope-intercept equations, and breakeven point analysis.
Unit 3	Quadratic Equations & Optimization	Factorization, quadratic formula, revenue maximization, and total cost minimization models.
Unit 4	Mathematics of Finance: Simple & Compound Interest	Present value, future value, compounding frequencies, ordinary annuities, and sinking funds.
Unit 5	Matrix Algebra & Business Applications	Matrix addition, scalar multiplication, matrix inversion, determinants, and Cramer’s Rule.
Unit 6	Introduction to Business Statistics & Sampling	Primary vs secondary data, questionnaires, random sampling, stratified sampling, and data arrays.
Unit 7	Frequency Distributions & Visual Data	Class intervals, tallies, histograms, frequency polygons, and cumulative frequency ogives.
Unit 8	Measures of Central Tendency	Arithmetic mean (direct and short-cut methods), weighted mean, median, and mode for grouped data.
Unit 9	Measures of Dispersion & Index Numbers	Standard deviation, variance, coefficient of variation, Laspeyres and Paasche price indices.

How to Submit AIOU Solved Assignment Code 1429

Submitting your coursework in accordance with official university protocols ensures your marks are awarded without delays. Follow the mandatory procedure for your program:

Handwritten Submission Guidelines (Matric, FA & BA / Associate Degree):

1. Neat Handwriting: Write your assignments neatly on single-sided A4 lined paper using blue or black ink. Avoid cutting and overwriting.
2. Three Dispatch Slips (Partal Form): Attach three copies of the official university Assignment Dispatch Slip (Purt Form) to the front of each assignment. Clearly write your Student ID, Roll Number, Course Code (1429), Semester, and Assigned Tutor’s name and address.
3. Tutor Verification: Check your allocated tutor’s mailing address on the AIOU Tutor Search Portal.
4. Postal Dispatch: Dispatch your assignment package via Pakistan Post Registered Mail or trusted courier service (TCS, Leopards) prior to the official deadline. Retain the postal booking receipt until your final semester result is announced on CMS.

Official Assignment Submission Schedule (Spring & Autumn)

Late submissions are strictly rejected by the university examinations department. Adhere to the following submission timeline:

Assignment Number	Autumn Semester Deadline	Spring Semester Deadline	Academic Units Covered
Assignment No. 1	Mid-November	Mid-July	Units 1 to 5
Assignment No. 2	Mid-January	Mid-September	Units 6 to 9

Frequently Asked Questions (FAQs)

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