Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data rovided in the statements are sufficient to answer the question. Read both the statements and-
Give answer a: if the data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question
Give answer b: if the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question
Give answer c: if the data either in statement I alone or in statement II alone is sufficient to answer the question.
Give answer d: if the data in both the statements I and II together are not sufficient to answer the question.
Give answer e: if the data in both the statements I and II together are necessary to answer the question.
What is the rate of interest p.c .p. a.?
I. Simple interest earned in 3 years is Rs. X.
II. The amount increases by 80% in 5 years.
I : Since, we do not know the principal amount, thus I alone is not sufficient to find the rate of interest.
II : Let principal be $$100x$$
=> Amount after 5 years = $$\frac{180}{100} * 100x = 180x$$
=> interest after 5 years = $$180x - 100x = 80x$$
$$\because$$ $$r = \frac{S.I. \times 100}{P \times T}$$
=> $$r = \frac{80x \times 100}{100x \times 5}$$
=> $$r = 16$$%
Thus, II alone is sufficient.
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