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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.

تازہ کاری جانچی گئی مثالیں: 5

$
%
آزمائیں
سود
$
سود: $1,800.00
اعشاری مقامات: 2؛ قریب ترین؛ برابر فاصلے پر جفت ہندسے کی طرف
Total amount
$11,800.00
Interest per year
$600.00
Amount if compounded yearly
$11,910.16

At 6% simple interest, $10,000.00 earns $600.00 a year, so $1,800.00 over the term. Compounding yearly at the same rate would give $110.16 more.

Amount at maturity

$11.8Kat maturity
اصل زر84.7%سود15.3%

Balance over time

$10K$10.5K$11K$11.5K0123Years
Simple interestCompounded yearly
Interest by year قطاریں: 3
PeriodInterest in periodInterest so farبقایا
Year 1$600.00$600.00$10,600.00
Year 2$600.00$1,200.00$11,200.00
Year 3$600.00$1,800.00$11,800.00
حساب کا طریقہ S

  1. Time in years

    t=3=3t = 3 = 3

  2. سود

    I=Prt=10,000.00×0.06×3=1,800.00I = P r t = 10{,}000.00 \times 0.06 \times 3 = 1{,}800.00

  3. Total amount

    A=P+I=10,000.00+1,800.00=11,800.00A = P + I = 10{,}000.00 + 1{,}800.00 = 11{,}800.00

    Rounded half-to-even to 2 decimals for display only.

Simple interest calculator کے بارے میں

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.

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

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).

اس کیلکولیٹر کے بارے میں

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

ماخذ

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

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