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### Question

There are two simple interest investment options I and II. The rate of interest in option I is ${5/16}$ times the rate for option II. The time period in option I is 16 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**

5.

**B**

6.

**C**

4.

**D**

8.

**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 × ${5/16} × {R/100}$ × 16 × T. The ratio I_{1} to I_{2} is $5/16$ × 16 = 5.