a and b enterd into a partnership investing rs. 16000 and rs. 12000 respectively. after 3 months, a withdrew rs. 5000 while b invested rs. 5000 more. after 3 more months. c joins the business with a capital of rs. 21000. the share of b exceeds that of c, out of a total profit of rs. 26400 after one year by Choose the most appropriate option
A) rs . 2400 B) rs . 3000 C) rs . 3600 D) rs . 4800 E) none of these
<gadget id="calculator">12_000 * 3</gadget>
<output>36_000</output>

<gadget id="calculator">12_000 + 5_000</gadget>
<output>17_000</output>

<gadget id="calculator">12 - 3</gadget>
<output>9</output>

<gadget id="calculator">17_000 * 9</gadget>
<output>153_000</output>

<gadget id="calculator">36_000 + 153_000</gadget>
<output>189_000</output>

<gadget id="calculator">16_000 * 3</gadget>
<output>48_000</output>

<gadget id="calculator">16_000 - 5_000</gadget>
<output>11_000</output>

<gadget id="calculator">11_000 * 9</gadget>
<output>99_000</output>

<gadget id="calculator">48_000 + 99_000</gadget>
<output>147_000</output>

<gadget id="calculator">147_000 + 189_000</gadget>
<output>336_000</output>

<gadget id="calculator">9 - 3</gadget>
<output>6</output>

<gadget id="calculator">21_000 * 6</gadget>
<output>126_000</output>

<gadget id="calculator">336_000 + 126_000</gadget>
<output>462_000</output>

<gadget id="calculator">189_000 / 462_000</gadget>
<output>9/22 = around 0.409091</output>

<gadget id="calculator">26_400 * (9/22)</gadget>
<output>10_800</output>

<gadget id="calculator">126_000 / 462_000</gadget>
<output>3/11 = around 0.272727</output>

<gadget id="calculator">26_400 * (3/11)</gadget>
<output>7_200</output>

<gadget id="calculator">10_800 - 7_200</gadget>
<output>3_600</output>

<result>C</result>
a and b enterd into a partnership investing rs. 16000 and rs. 12000 respectively. after 3 months, a withdrew rs. 5000 while b invested rs. 5000 more. after 3 more months. c joins the business with a capital of rs. 21000. the share of b exceeds that of c, out of a total profit of rs. 26400 after one year by
subtract(multiply(26400, divide(add(multiply(12000, 3), multiply(add(12000, 5000), subtract(const_12, 3))), add(add(add(multiply(16000, 3), multiply(subtract(16000, 5000), subtract(const_12, 3))), add(multiply(12000, 3), multiply(add(12000, 5000), subtract(const_12, 3)))), multiply(21000, subtract(subtract(const_12, 3), 3))))), multiply(26400, divide(multiply(21000, subtract(subtract(const_12, 3), 3)), add(add(add(multiply(16000, 3), multiply(subtract(16000, 5000), subtract(const_12, 3))), add(multiply(12000, 3), multiply(add(12000, 5000), subtract(const_12, 3)))), multiply(21000, subtract(subtract(const_12, 3), 3))))))
solution a : b : c = ( 16000 x 3 + 11000 x 9 ) : ( 12000 x 3 + 17000 x 9 ) : ( 21000 x 6 ) = 147 : 180 : 126 = 7 : 9 : 6 . ∴ difference of b and c ’ s shares = rs . ( 26400 x 9 / 22 - 26400 x 6 / 22 ) = rs . 3600 . answer c