Q. 14.1( 14 Votes )
Out of the four options, only one is correct. Write the correct answer.
Suppose for the principal P, rate R% and time T, the simple interest is S and compound interest is C. Consider the possibilities.
(i) C > S
(ii) C = S
(iii) C < S
A. only (i) is correct.
B. either (i) or (ii) is correct.
C. either (ii) or (iii) is correct.
D. only (iii) is correct.
Let the principal (P) = ₹100
Rate of interest (R) = 100% and time period (T) = nyr
Then, simple interest = = = ₹20
We know that,
A = P
= 100 × = ₹121
∴ compound interest, CI = A – P = ₹121 – ₹100 = ₹21
So, C > S
Hence, option (a) is correct.
In option (b), It says either c>s or c = s. Therefore, we can see that according to assumption it is not correct
In option (c), It says either c = s or c<s. Therefore, we can see that according to assumption it is not correct
In option (d), It says either c<s. Therefore, we can see that according to assumption it is not correct
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