Mathematics
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.
Compound Interest
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Answer
We know that,
A in 3 years = Principal + C.I. for 3 years ………….(1)
A in 2 years = Principal + C.I. for 2 years ………….(2)
Subtracting equation (2) from (1), we get :
A in 3 years - A in 2 years = Principal + C.I. for 3 years - (Principal + C.I. for 2 years)
A in 3 years - A in 2 years = C.I. for 3 years - C.I. for 2 years
A in 3 years - A in 2 years = C.I. for 3rd year
∴ Both A and R are true, and R is the correct reason for A.
Hence, option 3 is correct option.
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Related Questions
In how many years, will a sum of money double itself at 10% C.I.:
5 years
10 years
8 years
none of these
The cost of a machine depreciates every year by 10%; the percentage decrease during two years will be:
20%
18%
19%
21%
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: 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.