Q1 of 96 Page 287

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


Then

Let the principal (P) = ₹100


Rate of interest (R) = 100% and time period (T) = 2yr


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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