the compound interest on a sum for 2 years is rs. 832 and the simple interest on the same sum for the same period is rs. 800. the difference between the compound and simple interest for 3 years will be
Choose the correct answer
A) rs . 48 B) rs . 98.56 C) rs . 66.56 D) rs . 66.58 E) none of these
<gadget id="calculator">832 - 800</gadget>
<output>32</output>

<gadget id="calculator">800 / 2</gadget>
<output>400</output>

<gadget id="calculator">32 / 400</gadget>
<output>2/25 = around 0.08</output>

<gadget id="calculator">832 * (2/25)</gadget>
<output>1_664/25 = around 66.56</output>

<gadget id="calculator">32 + (1_664/25)</gadget>
<output>2_464/25 = around 98.56</output>

<result>B</result>
the compound interest on a sum for 2 years is rs. 832 and the simple interest on the same sum for the same period is rs. 800. the difference between the compound and simple interest for 3 years will be
add(subtract(832, 800), multiply(832, divide(subtract(832, 800), divide(800, 2))))
explanation : given that simple interest for 2 years is rs . 800 i . e . , simple interest for 1 st year is rs . 400 and simple interest for 2 nd year is also rs . 400 compound interest for 1 st year will be 400 and compound interest for 2 nd year will be 832 - 400 = 432 you can see that compound interest for 2 nd year is more than simple interest for 2 nd year by 432 - 400 = rs . 32 i . e , rs . 32 is the interest obtained for rs . 400 for 1 year rate , r = 100 × si / pt = ( 100 × 32 ) / ( 400 × 1 ) = 8 % difference between compound and simple interest for the 3 rd year = simple interest obtained for rs . 832 = prt / 100 = ( 832 × 8 × 1 ) / 100 = rs . 66.56 total difference between the compound and simple interest for 3 years = 32 + 66.56 = rs . 98.56 answer : option b