Consumer Price Index (CPI) Formula

Finance
$$\text{CPI} = \left( \frac{\text{Cost of Market Basket in Current Year}}{\text{Cost of Market Basket in Base Year}} \right) \times 100$$

The Consumer Price Index (CPI) measures the average change over time in prices paid by urban consumers for a market basket of consumer goods and services.

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Credit Card Payoff Formula

Finance
$$N = -\frac{\ln\left(1 - \frac{i \cdot B}{P}\right)}{\ln(1 + i)}$$

The Credit Card Payoff Formula determines the exact number of months (N) required to liquidate a revolving credit card balance (B) at an annual interest rate (i) with a fixed monthly payment (P). Because interest compounds monthly on unpaid balances, making only minimum payments significantly extends the payoff timeline and inflates total interest costs. Paying even a small amount above the minimum drastically reduces N and cuts total interest paid.

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Cumulative Grade Point Average (GPA) Formula

Mathematics & Education
$$\text{GPA} = \frac{\sum (\text{Course Credit Hours} \times \text{Grade Point Value})}{\sum \text{Course Credit Hours}}$$

Grade Point Average (GPA) standardizes academic performance by weighting earned letter grades against total course credit hours on a standard 4.0 scale.

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Daily Water Hydration Need Formula

Health & Fitness
$$\text{Water (Liters)} = \left(\text{Weight in kg} \times 0.033\right) + \left(\frac{\text{Exercise Minutes}}{30} \times 0.35\right)$$

Daily water requirement is calculated based on body weight (approx 35 mL per kg) adjusted for sweat fluid losses incurred during physical exercise workouts.

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Debt Payoff & Snowball/Avalanche Formula

Finance
$$B_{t} = (B_{t-1} + B_{t-1} \cdot i) - (P_{\text{min}} + P_{\text{extra}} + P_{\text{rollover}})$$

The Debt Payoff Formula models the multi-debt elimination process using an amortization cascade. In every month t, interest accrues on outstanding loan balances. Mandatory minimum payments are made across all debts, while all extra funds and rolled-over payments from paid-off debts are funneled toward a single priority target debt. The priority order is determined by either the Debt Avalanche (highest APR first) or Debt Snowball (smallest balance first) method.

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Discount Formula

Finance
$$\begin{aligned} \text{Discount} &= \text{Original Price} \times \frac{\text{Discount\%}}{100} \\ \text{Final Price} &= \text{Original Price} - \text{Discount} \end{aligned}$$

The discount formula calculates the price reduction on a product or service. By subtracting the discount amount from the original price, you get the final sales price.

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EMI Formula

Finance
$$EMI = P \times r \times \frac{(1 + r)^n}{((1 + r)^n - 1)}$$

An Equated Monthly Installment (EMI) is a fixed payment amount made by a borrower to a lender at a specified date each calendar month. The EMI is structured to pay off both the interest and the principal balance of a loan over a set period. In the early stages of the loan, a larger portion of the monthly payment goes toward interest, while in later stages, more goes toward the principal. This amortization schedule helps borrowers plan their monthly budget and track their path to debt freedom.

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EPF / PF Calculation Formula

Finance
$$\text{EPF / PF Balance}_{t} = (\text{Balance}_{t-1} + \text{Emp}_{\text{12\%}} + \text{Empr}_{\text{3.67\%}}) \times \left(1 + \frac{r}{12}\right)$$

The Employee Provident Fund (EPF or PF) calculation formula computes monthly accumulation and annual interest crediting for organised sector employees in India under EPFO rules. Employees contribute 12% of Basic + DA, matched by a 12% employer contribution (split into 8.33% for Pension EPS capped at ₹1,250 and 3.67% into EPF / PF). Monthly contributions earn interest calculated monthly and credited annually at government-notified EPFO rates.

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Fahrenheit to Celsius Formula

Unit Converters
$$°C = (°F - 32) \times 5/9$$

To convert Fahrenheit (°F) to Celsius (°C), subtract 32 from the Fahrenheit temperature and then multiply by 5/9 (or divide by 1.8).

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FD Formula

Finance
$$A = P \times \left(1 + \frac{r}{n}\right)^{nt}$$

A Fixed Deposit (FD) is a secure investment offered by banks and financial institutions where you deposit a lump sum for a fixed tenure at a guaranteed interest rate. FDs usually calculate compound interest on a quarterly basis. It offers steady, predictable growth on capital.

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