Arithmetic अंकगणित

Math — Grade X · Chapter 2

📚 3 Topics

🎯 TQ 9 · TM 13

🔢 K:2 · U:2 · A:3 · HA:2

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Arithmetic

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Exercise — Model 1

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Exercise — Model 2

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Exercise — Model 3

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Key Formulas

Arithmetic — essential formulas

Compound Interest

$$A = P\left(1+\frac{R}{100}\right)^T$$

$A$ = Amount, $P$ = Principal, $R$ = Rate %, $T$ = Time (years).

Compound Interest — CI

$$CI = A - P$$

Compound Interest = Final Amount minus Principal.

Growth

$$V = V_0\left(1+\frac{R}{100}\right)^T$$

Population or value growth at rate $R\%$ over $T$ periods.

Depreciation

$$V = V_0\left(1-\frac{R}{100}\right)^T$$

Value after depreciation at rate $R\%$ over $T$ periods.

Currency Exchange

$$\text{Amount} = \text{Units} \times \text{Rate}$$

Convert between currencies using the given exchange rate.

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Key Concepts

Understand beyond memorising formulas

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Compound Interest

Interest is calculated on both the principal and accumulated interest. Use $A=P(1+R/100)^T$. After each period the interest is added to principal before next calculation.

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Growth & Depreciation

Growth increases value: $(1+R/100)^T$. Depreciation decreases value: $(1-R/100)^T$. Same formula structure, only the sign inside changes.

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Currency & Exchange Rate

Exchange rate tells how many units of one currency equal one unit of another. Multiply or divide depending on direction of conversion. Always check which currency is the base.

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