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Flashcards

Compound Interest (Without Using Formula)

ICSE · Class 9 · Mathematics

Flashcards for Compound Interest (Without Using Formula) — ICSE Class 9 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.

44 questions22 flashcards5 concepts
22 Flashcards
Card 1Basic Concepts

What is the basic meaning of 'interest' in financial terms?

Answer

Interest is the extra money paid for using someone else's money. When you borrow money (principal), you must return the original amount plus interest. The total money paid back is called the amount. F

Card 2Simple Interest

Define Simple Interest and explain its key characteristic.

Answer

Simple Interest is calculated on the original principal throughout the entire loan period, regardless of how long the money is borrowed. The interest remains the same every year. Formula: S.I. = (P ×

Card 3Compound Interest Basics

What is Compound Interest and how does it differ from Simple Interest?

Answer

Compound Interest is when the interest earned is added to the principal at the end of each period, and this new amount becomes the principal for the next period. Unlike Simple Interest, the principal

Card 4Calculations

Calculate the compound interest on ₹5,000 at 10% per annum for 2 years.

Answer

Year 1: P = ₹5,000, I = (5,000 × 10 × 1)/100 = ₹500, A = ₹5,500 Year 2: P = ₹5,500, I = (5,500 × 10 × 1)/100 = ₹550, A = ₹6,050 C.I. = ₹6,050 - ₹5,000 = ₹1,050

Card 5Compound Interest Concepts

What is a 'conversion period' in compound interest?

Answer

A conversion period is the time after which the principal changes (increases) in compound interest calculations. For yearly compounding, the conversion period is one year. For half-yearly compounding,

Card 6Compound Interest vs Simple Interest

Why does compound interest increase each year while simple interest remains constant?

Answer

In Simple Interest, the principal remains the same throughout, so interest is constant. In Compound Interest, the interest earned is added to the principal, making it larger each period. Since interes

Card 7Half-yearly Compounding

Calculate the amount on ₹8,000 at 5% compound interest for 1 year, compounded half-yearly.

Answer

First 6 months: P = ₹8,000, I = (8,000 × 5 × 1)/(100 × 2) = ₹200, A = ₹8,200 Second 6 months: P = ₹8,200, I = (8,200 × 5 × 1)/(100 × 2) = ₹205, A = ₹8,405 Final Amount = ₹8,405

Card 8Compound Interest vs Simple Interest

For the first year, are Simple Interest and Compound Interest equal? Explain why.

Answer

Yes, for the first year, Simple Interest equals Compound Interest because both are calculated on the same original principal amount. The difference appears from the second year onwards when compound i

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