mr. jones gave 40 % of the money he had to his wife. he also gave 20 % of the remaining amount to his 3 sons. and half of the amount now left was spent on miscellaneous items and the remaining amount of rs. 12000 was deposited in the bank. how much money did mr. jones have initially? Choose the most appropriate option: A) 40000 B) 45000 C) 50000 D) 62000 E) none of these
<gadget id="calculator">100 / 2</gadget>
<output>50</output>

<gadget id="calculator">50 / 100</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>

<gadget id="calculator">1 - (2/5)</gadget>
<output>3/5 = around 0.6</output>

<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>

<gadget id="calculator">1 - (1/5)</gadget>
<output>4/5 = around 0.8</output>

<gadget id="calculator">(3/5) * (4/5)</gadget>
<output>12/25 = around 0.48</output>

<gadget id="calculator">(1/2) * (12/25)</gadget>
<output>6/25 = around 0.24</output>

<gadget id="calculator">12_000 / (6/25)</gadget>
<output>50_000</output>

<result>C</result>
mr. jones gave 40 % of the money he had to his wife. he also gave 20 % of the remaining amount to his 3 sons. and half of the amount now left was spent on miscellaneous items and the remaining amount of rs. 12000 was deposited in the bank. how much money did mr. jones have initially?
divide(12000, multiply(divide(divide(const_100, const_2), const_100), multiply(subtract(const_1, divide(40, const_100)), subtract(const_1, divide(20, const_100)))))
explanation : let the initial amount be x , amount given to his wife = ( 40 / 100 ) x = 2 x / 5 balance = ( x - ( 2 x / 5 ) ) = 3 x / 5 amount given to his wife = ( 20 / 100 ) * ( 3 x / 5 ) = 3 x / 25 balance = 3 x / 5 - 3 x / 25 = 12 x / 25 amountt spent on miscellaneous items = ( 1 / 2 ) * ( 12 x / 25 ) = 6 x / 25 which is equal to 12000 hence , = > 6 x / 25 = 12000 = > x = 50000 answer : c