Mathematics
Statement 1: Rate of C.I. accrued in 3rd year
=
Statement 2: Amount at the end of 3 years = Amount at the end of 2nd year + Interest on it.
Both the statements are true.
Both the statements are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.
Compound Interest
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Answer
Let ₹ P be the principal amount, R be the rate of interest and n be time.
Rate of C.I. accured =
⇒ Rate of C.I. accured in 3rd year =
So, statement 1 is true.
⇒ Amount of 3 years = Amount of 2 years + C.I.
Amount at the end of 3 years = Amount at the end of 2nd year + Interest on it.
So, statement 2 is true.
∴ Both the statements are true.
Hence, option 1 is correct option.
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Related Questions
Assertion (A): On a certain sum and at a certain rate,
C.I. for 3rd year = Amount of 3rd year - Amount of 2nd year
Reason (R): A in 3 years = Principal + C.I. for 3 years and A in 2 years = Principal + C.I. for 2 years
⇒ A in 3 years - A in 2 years = C.I. for 3rd year
A is true, but R is false.
A is false, but R is true.
Both A and R are true, and R is the correct reason for A.
Both A and R are true, and R is the incorrect reason for A.
Assertion (A): Interest for 5th year = Interest in 5 years - Interest in 4 years
Reason (R): Interest of 5th year = Amount in 5 years - Amount in 4 years
A is true, but R is false.
A is false, but R is true.
Both A and R are true, and R is the correct reason for A.
Both A and R are true, and R is the incorrect reason for A.
Statement 1: If P is the sum invested for 2 years at 20% rate of interest
= ₹ P x
Statement 2: Interest accrued in 2 years = ₹ (P x
Both the statements are true.
Both the statements are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.
What sum will amount to ₹ 6,593.40 in 2 years at C.I., if the rates are 10 percent and 11 percent for the two successive years ?