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### Question

There are two simple interest investment options I and II. The rate of interest in option I is ${4/11}$ times the rate for option II. The time period in option I is 11 times that for the option II. What is the ratio of interest of option I to option II, if the same amount is invested in either?

**A**

4.

**B**

5.

**C**

3.

**D**

7.

**Soln.**

**Ans: a**

Let P, R and T have their usual meanings. For option II we have I_{2} = PRT/100. For option I we have I_{1} = P × ${4/11} × {R/100}$ × 11 × T. The ratio I_{1} to I_{2} is $4/11$ × 11 = 4.