Question

Neeraj invested a certain amount in schemes A and B for 2 years in the ratio of 3 : 5 respectively. The schemes A and B offer compound interest compounded annually and simple interest respectively. What is the amount invested in scheme A?
I. The rate of interest offered by scheme A is 20% per annum and the rate of interest offered by scheme B is 5% less than that offered by scheme A.
II. Amount of interest accrued from scheme B is more than the amount of interest accrued from scheme A by Rs 900.

• 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.
• B. If the data in the statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
• C. If the data either in statement I alone or in statement II alone is sufficient to answer the question.
• D. If the data in both the statements I and II together are not sufficient to answer the question.
• E. If the data in both the statements I and II together are necessary to answer the question.

Answer 1

The correct option is E If the data in both the statements I and II together are necessary to answer the question.


$=\frac{5x\times 15\times 2}{100}-\{3x{(1+\frac{20}{100})}^2-3x\}=900=\frac{3x}{2}-\{3x\times \frac{36}{25}-3x\}=900=\frac{3x}{2}-\left\{\frac{108x-75x}{25}\right\}=900\frac{75x-66x}{50}=900=9x=900\times 50x=Rs5000$
Amount invested in scheme A = 3 $\times$ 5000 = 15000