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Each of the question below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question. What is the rate of interest? I. Sum A becomes double in 4 years when invested at a certain rate interest per annum. (Consider simple interest) II. Mamta invests Rs. 5000 for t years and sajan invests Rs 3000 for T years at same rate of interest. Ratio of interest earned is 4 : 7. (Consider simple interest) III. Sum S becomes quadruple when invested in compound interest for 2 years at a certain rate of interest per annum.

Each of the question below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question. What is the rate of interest? I. Sum A becomes double in 4 years when invested at a certain rate interest per annum. (Consider simple interest) II. Mamta invests Rs. 5000 for t years and sajan invests Rs 3000 for T years at same rate of interest. Ratio of interest earned is 4 : 7. (Consider simple interest) III. Sum S becomes quadruple when invested in compound interest for 2 years at a certain rate of interest per annum. Correct Answer Either statement I alone or statement III alone is sufficient.

From I:

Let the rate of interest be R%.

A × R × 4/100 = 2A –A

⇒ R = 25%

Hence statement I is alone sufficient

From II:

Let the rate of interest be R%.

Simple interest earned by mamta = 5000Rt/100

Simple interest earned by sajan = 3000RT/100

5000Rt/3000RT = 4/7

⇒ 5t/3T = 4/7

⇒ But we cannot determine the rate of interest.

Hence, statement II alone is not sufficient.

From III:

Let the rate of interest be R%.

S2 = 4S

⇒ = 2

R = 100%

Hence, statement III is alone sufficient.

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