Discussion Forum



Each of the following question is followed by three statements, numbered I, II and III. Please read the question and all the three statements carefully and decide whether the question can be answered with any one or two statements or all the three statements. The answer number bearing the statements, which can be dispensed with, if any, while answering the question is your answer.

1)

Find out the compound interest earned at the end of $3$ years?

I. $S.I.$ earned on that amount at the same rate and for the same period is Rs. $4500$.

II. The rate of interest is $10$ p.c.p.a.

III. $C.I.$ for $3$ years is more than the simple interest for that period by Rs. $465$.


A) I and II only

B) II and III only

C) I and III only

D) I and Either II or III only

E) Any two of the three

Answer:

Option D

Explanation:

I. gives, $S.I$ for $3$ years = Rs. $4500$.

II. gives, Rate $=10\%$ p.a.

III. gives, $(C.I.)-(S.I.)$ = Rs. $465$.

Clearly, using I and III we get $C.I.$ = Rs. $(465+4500)$.

Thus, II is redundant.

Also, from I and II, we get sum $=\left(\frac{100\times 4500}{10\times 3}\right)$ $=15000$.

Now $C.I.$ on Rs. $15000$ at $10\%$ p.a. for $3$ years may be obtained.

Thus, III is redundant.

$\therefore$ Either II or III is redundant.