a, b and c started a business with a total investment of rs. 72000. a invests rs. 6000 more than b and b invests rs. 3000 less than c. if the total profit at the end of a year is rs. 8640, find a ' s share.  Choose the correct answer:
A) rs . 3240
B) rs . 2520
C) rs . 2880
D) rs . 3360
E) none of these
<gadget id="calculator">6_000 + 3_000</gadget>
<output>9_000</output>

<gadget id="calculator">72_000 - 9_000</gadget>
<output>63_000</output>

<gadget id="calculator">63_000 / 3</gadget>
<output>21_000</output>

<gadget id="calculator">21_000 + 6_000</gadget>
<output>27_000</output>

<gadget id="calculator">27_000 / 72_000</gadget>
<output>3/8 = around 0.375</output>

<gadget id="calculator">8_640 * (3/8)</gadget>
<output>3_240</output>

<result>A</result>
a, b and c started a business with a total investment of rs. 72000. a invests rs. 6000 more than b and b invests rs. 3000 less than c. if the total profit at the end of a year is rs. 8640, find a ' s share.
multiply(8640, divide(add(divide(subtract(72000, add(6000, 3000)), const_3), 6000), 72000))
explanation : let c ' s investment = rs . x b ' s investment = rs . ( x - 3000 ) a ' s investment = rs . ( x - 3000 + 6000 ) = rs . ( x + 3000 ) now , ( a + b + c ) ' s investment = rs . 72000 = > x + ( x - 3000 ) + ( x + 3000 ) = 72000 = > 3 x = 72000 = > x = 24000 hence , a ' s investment = rs . 27000 b ' s investment = rs . 21000 c ' s investment = rs . 24000 ratio of the capitals of a , b and c = 27000 : 21000 : 24000 = 9 : 7 : 8 a ' s share = rs . [ ( 9 / 24 ) × 8640 ] = rs . 3240 answer : option a