What is the principal sum? I.The sum amounts to Rs. 690 in 3 years at S.I. II.The sum amounts to Rs. 750 in 5 years at S.I. III.The rate of interest is 5% p.a. a. II and III only b. I and II only c. any two of the three d. I and II only
Question
What is the principal sum?
I.The sum amounts to Rs. 690 in 3 years at S.I.
II.The sum amounts to Rs. 750 in 5 years at S.I.
III.The rate of interest is 5% p.a.
a. II and III only
b. I and II only
c. any two of the three
d. I and II only
Solution
The principal sum can be calculated using the formula for Simple Interest (SI) which is SI = (PRT)/100, where P is the principal amount, R is the rate of interest, and T is the time in years.
From statement I, we have 690 = (P53)/100. Solving this gives P = Rs. 4600.
From statement II, we have 750 = (P55)/100. Solving this gives P = Rs. 3000.
Since the principal amount calculated from statement I and II are not the same, there seems to be a mistake.
Therefore, we cannot determine the principal sum based on the given information. The correct answer should be none of the options given.
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