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(i) ₹2100
(ii) ₹2155
Step-by-step explanation:
(i) Principal (P) = ₹10000
Rate (R) = 10%
Time (n) = 2 years
Amount (A) = P (1 + R/100)ⁿ
=> A = 10000 (1 + 10/100)²
=> A = 10000 (11/10)²
=> A = ₹12100
Compound Interest = A-P = ₹12100 - ₹10000 = ₹2100
(ii) When compounded half-yearly, the rate is halved and the time is doubled.
Principal (P) = ₹10000
Rate (R) = (10÷2)% = 5%
Time (n) = (2×2) years = 4 years
Amount (A) = P (1 + R/100)ⁿ
=> A = 10000 (1 + 5/100)⁴
=> A = 10000 (21/20)⁴
=> A = ₹12155
Compound Interest = A-P = ₹12155 - ₹10000 = ₹2155
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