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Applied Mathematics · Class 11 Commerce

Ch 11Basics of Financial Mathematics — Class 11 Applied Mathematics, concept-first.

This concept map shows how the chapter fits together. Financial mathematics at this level covers interest (simple, compound and the effective rate), the time value of money through present and future value (including net present value), annuities (valuing a regular annuity and its applications), the calculation of tax,…

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Concept Map

This concept map shows how the chapter fits together. Financial mathematics at this level covers interest (simple, compound and the effective rate), the time value of money through present and future…

11.1

Introduction

Money is not just a medium of exchange — it is a tool that grows, shrinks, and changes value over time.

11.2

Interest & Interest Rates

Interest is the price you pay for using someone else’s money — or the reward you earn for letting them use yours.

11.3

Accumulation with Simple and Compound Interest

When money grows, the pattern of that growth matters enormously. Simple interest adds a fixed amount each period, so the total grows in a straight line — useful for short-term loans or quick calculati…

11.4

Simple and Compound Interest Rates with Equivalency

Interest is the price of using someone else’s money, but not all interest is the same. In this section, you will see the critical difference between simple interest, where the base amount never change…

11.5

Effective Rate of Interest

When you borrow or invest money, the stated annual rate — the nominal rate — is rarely the whole story.

11.6

Present Value, Net Present Value and Future Value

Money today is not the same as money tomorrow — a rupee received now can be invested to earn more, so its value is greater than a rupee received later.

11.7

Annuities, Calculating Value of Regular Annuity

Annuities are the financial engine behind everything from monthly pension payments to home loan EMIs — a stream of equal cash flows spaced at regular intervals.

11.8

Simple Applications of Regular Annuities (Upto 3 Periods)

You have already learned how an annuity builds value when payments are made regularly. Now we turn that knowledge into a practical tool.

11.9

Tax, Calculation of Tax and Simple Application of Tax Calculation in Goods and Service Tax, Income Tax

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Tax is not a penalty — it is the price of living in a society that builds roads, pays teachers, and keeps the lights on.

11.10

Bills, Tariff Rates, Fixed Charge, Surcharge, Service Charge

When you receive an electricity or utility bill, the total amount is rarely just the cost of the units you consumed.

11.11

Calculation and Interpretation of Electricity Bill, Water Supply and Other Supply Bills

We rarely think about the numbers on a utility bill until we have to pay them, but each figure tells a story of consumption, rate, and fixed charges.