# Simple interest calculator

> Calculate simple interest (I = P × r × t) and the maturity amount on a principal for a term in years, months or days.

انٹرایکٹو صورت: https://www.calcopenly.com/ur/finance/simple-interest-calculator
موضوع: مالی کیلکولیٹر

Simple interest is paid only on the original principal: I = P × r × t, where r is the yearly rate as a decimal and t the time in years. A term in months is divided by 12, and a term in days by 365 (actual/365) or by 360, the banker's year some lenders and money markets use. The amount due at maturity is A = P(1 + rt).

With the defaults, 10,000 at 6% for 3 years earns 600 a year and 1,800 in total, for a maturity amount of 11,800. Compounded yearly at the same rate, the same deposit would reach 11,910.16, which is 110.16 more.

Interest here never earns interest of its own. Savings accounts and most deposits compound, so use the compound interest calculator for them; simple interest suits short loans, flat-rate quotes and interest accrued between coupon dates.

## اندراجات

- **اصل زر**
- **Interest rate (per year)**
- **وقت**
- **Time in** (اختیارات: سال, مہینے, Days)
- **Days in a year** (اختیارات: 365 (actual/365), 360 (banker's year))

## نتائج

- سود — بنیادی نتیجہ
- Total amount
- Interest per year
- Amount if compounded yearly

## فارمولا

$$
I = P \cdot r \cdot t,\qquad A = P(1 + r t)
$$

## حل شدہ مثالیں

### 10,000 at 6% for 3 years

- اصل زر: 10,000
- Interest rate (per year): 6%
- وقت: 3
- Time in: سال
- **سود: 1,800.00**
- **Total amount: 11,800.00**
- **Amount if compounded yearly: 11,910.16**
- جانچ کا ماخذ: ⁨10000 × 0.06 × 3 by hand; 10000 × 1.06³ = 11910.16 (Python decimal)⁩

### 5,000 at 8% for 9 months

- اصل زر: 5000
- Interest rate (per year): 8%
- وقت: 9
- Time in: مہینے
- **سود: 300.00**
- **Total amount: 5,300.00**
- جانچ کا ماخذ: ⁨5000 × 0.08 × 9/12 by hand⁩

### 20,000 at 7.5% for 90 days, actual/365

- اصل زر: 20,000
- Interest rate (per year): 7.5%
- وقت: 90
- Time in: Days
- Days in a year: 365 (actual/365)
- **سود: 369.86**
- جانچ کا ماخذ: ⁨20000 × 0.075 × 90/365 = 369.8630… (Python decimal)⁩

### Same loan on a 360-day year

- اصل زر: 20,000
- Interest rate (per year): 7.5%
- وقت: 90
- Time in: Days
- Days in a year: 360 (banker's year)
- **سود: 375.00**
- جانچ کا ماخذ: ⁨20000 × 0.075 × 90/360 by hand⁩

### Zero rate

- اصل زر: 1000
- Interest rate (per year): 0%
- وقت: 5
- Time in: سال
- **سود: 0.00**
- **Total amount: 1,000.00**
- جانچ کا ماخذ: ⁨Definition: no rate, no interest⁩

## سوالات

### How do you calculate simple interest?

Multiply the principal by the yearly rate and by the time in years: I = P × r × t. 10,000 at 6% for 3 years earns 10,000 × 0.06 × 3 = 1,800, so 11,800 is repaid. For a term in months, divide by 12 first: 5,000 at 8% for 9 months earns 5,000 × 0.08 × 9/12 = 300.

### How do you calculate simple interest for a number of days?

Divide the days by the day-count basis before multiplying. 20,000 at 7.5% for 90 days earns 20,000 × 0.075 × 90/365 = 369.86 on an actual/365 basis, and 375.00 on a 360-day banker's year. Excel's ACCRINTM function uses basis 3 for actual/365 and basis 2 for actual/360.

### How do you find the rate or the time from simple interest?

Rearrange I = P × r × t. The rate is r = I ÷ (P × t): earning 1,800 on 10,000 over 3 years means 1,800 ÷ 30,000 = 6% a year. The time is t = I ÷ (P × r): earning 3,000 on 10,000 at 6% takes 3,000 ÷ 600 = 5 years.

### Is simple interest better than compound interest?

For a borrower, yes; for a saver, no. Simple interest grows in a straight line, while compound interest also earns interest on interest. On 10,000 at 6%, the gap is only 110.16 after 3 years (1,800 against 1,910.16), but after 20 years simple interest totals 12,000 while yearly compounding adds 22,071.35.

### “⁨Simple interest calculator⁩” کتنا درست ہے؟

درستی آپ کی درج کردہ قدروں اور طریقے کے مفروضوں پر منحصر ہے۔ اعشاری حساب 50 بامعنی ہندسے استعمال کرتا ہے، مگر تخمینے، عددی طریقے اور ماخذ کا ڈیٹا کم درست ہو سکتے ہیں؛ دکھائی گئی قدروں کو راؤنڈ کرنے سے یہ حدود ختم نہیں ہوتیں۔ آزاد ذرائع کی حل شدہ مثالوں سے جانچ: 5۔ مثلاً، “⁨10,000 at 6% for 3 years⁩” کو ⁨10000 × 0.06 × 3 by hand; 10000 × 1.06³ = 11910.16 (Python decimal)⁩ سے جانچا جاتا ہے۔

### اس طریقے کا ماخذ کیا ہے؟

OpenStax Prealgebra 2e — Simple Interest Applications (I = Prt); Brealey, Myers & Allen — Principles of Corporate Finance, ch. 2 (simple vs compound interest); Microsoft Excel ACCRINTM function (simple interest accrued to maturity, basis 2 = actual/360, 3 = actual/365).

## ماخذ

- [OpenStax Prealgebra 2e — Simple Interest Applications (I = Prt)](https://openstax.org/books/prealgebra-2e/pages/6-4-solve-simple-interest-applications)
- Brealey, Myers & Allen — Principles of Corporate Finance, ch. 2 (simple vs compound interest)
- [Microsoft Excel ACCRINTM function (simple interest accrued to maturity, basis 2 = actual/360, 3 = actual/365)](https://support.microsoft.com/en-gb/office/accrintm-function-f62f01f9-5754-4cc4-805b-0e70199328a7)

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