what are all the formulas used to solve questions in the chapter simple and compund interest
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Answers
Answer:
Interest formulas mainly refer to the formulas of simple and compound interests. The simple interest (SI) is a type of interest that is applied to the amount borrowed or invested for the entire duration of the loan, without taking any other factors into account, such as past interest (paid or charged) or any other financial considerations. Simple interest is generally applied to short-term loans, usually one year or less, that are administered by financial companies. The same applies to money invested for a similarly short period of time. The simple interest rate is a ratio and is typically expressed as a percentage.
On the other hand, the compound interest is the interest which is calculated on the principal and the interest that is accumulated over the previous tenure. Thus, the compound interest (CI) is also called as “interest on interest”. It plays an important role in determining the amount of interest on a loan or investment. The formulas for both the compound and simple interest is given below.
Step-by-step explanation:
Question 1: A sum of Rs 4000 is borrowed and the rate is 7%. What is the simple and compound interest for 2 years?Solution:Simple Interest = Principle × Rate × Time = PTR/100⇒ Simple Interest = 4000 × (7 ⁄ 100) × 2⇒ Simple Interest = 560∴ The simple Interest for 2 years is Rs. 560Compound Interest = Principal × (1 + Rate)Time − PrincipalSo, Compound Interest = 4000 × (1 + 7 ⁄ 100)2 − 4000⇒ Compound Interest = (4000 × 1.1449) − 4000⇒ Compound Interest = 580
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