Simple and Compound Interest for Competitive Exam – Quantitative Aptitude

Simple and Compound Interest (साधारण और चक्रवृद्धि ब्याज) In Hindi

साधारण ब्याज (Simple Interest) और चक्रवृद्धि ब्याज (Compound Interest) दो अलग-अलग तरीके हैं जिनसे किसी ॠण या जमा पर ब्याज की गणना की जाती है।

साधारण ब्याज:

1. यह केवल मूलधन पर ही लगाया जाता है।
2. ब्याज की दर (Rate of Interest) समय के साथ स्थिर रहती है।
3. ब्याज की गणना निम्न सूत्र का उपयोग करके की जाती है:

• साधारण ब्याज = मूलधन × ब्याज दर × समय / 100

चक्रवृद्धि ब्याज:

1. यह मूलधन और पहले से अर्जित ब्याज (Interest Earned) दोनों पर लगाया जाता है।
2. ब्याज की दर समय के साथ बदल सकती है।
3. ब्याज की गणना निम्न सूत्र का उपयोग करके की जाती है:

• चक्रवृद्धि ब्याज = मूलधन × (1 + ब्याज दर/100)^{समय – मूलधन}

Simple and Compound Interest In English

Simple interest and compound interest are two different ways of calculating interest on a loan or investment. Understanding the difference between them is crucial for making informed financial decisions.

Simple Interest:

Definition: Simple interest is calculated only on the principal amount (the initial amount borrowed or invested).
Formula: Simple interest (SI) is calculated using the following formula:

• SI = P x R x T / 100

where:

1. P is the principal amount

2. R is the interest rate (as a percentage)

3. T is the time period (in years)

Example: You borrow Rs. 10,000 at a 5% interest rate for 2 years. The simple interest earned would be:

SI = 10,000 x 5 x 2 / 100 = Rs. 1,000

Compound Interest:

Definition: Compound interest is calculated on the principal amount and all the accumulated interest from previous periods. This means you earn interest on your interest, leading to a faster growth of your investment over time.
Formula: Compound interest (CI) is calculated using the following formula:

• CI = P x (1 + R/100)^{T – P}

where:

P is the principal amount

R is the interest rate (as a percentage)

T is the time period (in years)

Example: You invest Rs. 10,000 at an annual interest rate of 5% compounded annually for 2 years. Here’s the breakdown:

Year 1: Interest earned = 10,000 × 5/100 = Rs. 500

Amount after year 1: 10,000 + 500 = Rs. 10,500

Year 2: Interest earned = 10,500 × 5/100 = Rs. 525 (calculated on the new amount, including interest from year 1)

Total amount after 2 years: 10,500 + 525 = Rs. 11,025