Question

math word promblem . 14. In what time will ₹8000 amount at ₹8405 at 5%per annum interest being compounded half yearly?​

Answer 1

Answer:

T = 1

Step-by-step explanation:

This question can be done with 2 methods

Principle = (P) = 8,000

Amount = (Amt) = 8,405

CI = 405

Rate = 5% Compounded half yearly = 0.05/2 = 0.025

Method 01

CI = P[(1+i)ⁿ-1]

405 = 8,000[(1+0.025)²ⁿ-1]

(⁴⁰⁵/₈₀₀₀) = [(1.025)²ⁿ-1]

1.050625 =  [(1.025)²ⁿ]

(1.025)² = (1.025)²ⁿ

2n = 2    ⇒ n = 1

Method 02

Amt = P(1+i)ⁿ

8405 = 8000(1+0.025)²ⁿ

(⁸⁴⁰⁵/₈₀₀₀) = (1.025)²ⁿ

(1.050625) = 1.025)²ⁿ

(1.025)² = (1.025)²ⁿ

2n = 2    ⇒ n = 1