Mathematics
Assertion (A) : On ₹ 8,750 at 8% p.a., the simple interest for 1st year is equal to the simple interest for 4th year.
Reason (R) : Simple interest for 4th year = Amount at the end of 4th year - original sum.
Both A and R are correct, and R is the correct explanation for A.
Both A and R are correct, and R is not the correct explanation for A.
A is true, but R is false.
A is false, but R is true.
Simple Interest
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Answer
In simple interest, the interest is calculated only on the original principal and remains the same every year.
Thus, SI for the 1st year is equal to SI for the 4th year—in fact, it's equal for every year.
So, assertion (A) is true.
Amount at the end of 4th year - original sum = Total simple interest for 4 years
That formula gives the total simple interest for 4 years, not just for the 4th year.
So, reason (R) is false.
Hence, option 3 is the correct option.
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Related Questions
Assertion (A) : The simple interest on ₹ 15,000 in 2 years at 6% p.a. is ₹ 1,800. Then compound interest on the same sum at the same rate of interest for 2 years will never be less than ₹ 1,800.
Reason (R) : For a given principal, rate and time, both simple interest and compound interest are equal for the 1st year.
Both A and R are correct, and R is the correct explanation for A.
Both A and R are correct, and R is not the correct explanation for A.
A is true, but R is false.
A is false, but R is true.
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Reason (R): Compound interest for 2 years = Amount at the end of 2nd year - original sum.
Both A and R are correct, and R is the correct explanation for A.
Both A and R are correct, and R is not the correct explanation for A.
A is true, but R is false.
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