find the annual interest rate if the simple interest on R1050 for 3years and 6 months is R514.50?
1. 16%
2. 1%
3. 14%
4. 49%
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Solution :-
Principal = Rs. 1050
Time = 3 years and 6 months = 3 1/2 years = 7/2 years
Simple Interest = Rs. 514.50
Rate of Interest = ?
Simple Interest = (P*R*T)/100
⇒ 514.50 = (1050*R*7)/(100*2)
⇒ 514.50 = 7350R/200
⇒ 7350R = 514.50*200
⇒ 7350R = 102900
⇒ R = 102900/7350
⇒ R = 14 %
Hence, the annual rate of interest is 14 %.
So, option (3) is correct.
Answer.
Principal = Rs. 1050
Time = 3 years and 6 months = 3 1/2 years = 7/2 years
Simple Interest = Rs. 514.50
Rate of Interest = ?
Simple Interest = (P*R*T)/100
⇒ 514.50 = (1050*R*7)/(100*2)
⇒ 514.50 = 7350R/200
⇒ 7350R = 514.50*200
⇒ 7350R = 102900
⇒ R = 102900/7350
⇒ R = 14 %
Hence, the annual rate of interest is 14 %.
So, option (3) is correct.
Answer.
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