Question : Sashi took a loan of Rs. 700 on simple interest for as many years as the rate of interest per annum. If he paid Rs. 343 as interest at the end of the loan period, what was the rate of interest?
Option 1: 6%
Option 2: 4%
Option 3: 10%
Option 4: 7%
Correct Answer: 7%
Solution :
Given,
Loan amount = Rs 700
Interest amount = Rs 343
We know, Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$
According to the question,
Time of interest = Rate of interest
⇒ Simple interest = $\frac{700×\text{Rate × Time}}{100}$
⇒ 343 = 7 × Rate
2
⇒ Rate
2
= $\frac{343}{7}$
⇒ Rate
2
= 49
⇒ Rate = 7%
Hence, the correct answer is 7%.
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