Rs.460 was divided among 41 boys and girls such that each boy Rs.12 and each girl got Rs.8. What is
the number of boys?	Select the correct option
A) 33	B) 30	C) 36	D) 28	E) 26
Explanation :   -------------------------------------------------------------------   Solution 1   -------------------------------------------------------------------   33ssume that the number of boys = b and number of girls is g   number of boys + number of girls = 41   =&gt; b + g = 41 ------------ (Equation 1)   Given that each boy got Rs.12 and each girl got Rs.8 and Total amount = Rs.460   =&gt; 12b + 8g = 460 -------- (Equation 2)   Now we need solve Equation 1 and Equation 2 to get b and g   (Equation1)×8=&gt;8b+8g=8×41=328−−−−−−−−(Equation3)   (Equation 2) - (Equation 3) = 4b = 460 - 328= 
<gadget id="calculator">460 - 328</gadget>
<output>132</output>
132=&gt;b=1324=33   -------------------------------------------------------------------   Solution 2   -------------------------------------------------------------------   Given that 33mount received by a boy = Rs.12 and   33mount received by a girl =Rs.8   Total amount = 460   Given that number of boys + Number of girls = 41   Hence mean amount = 460/41   By the rule of alligation, we have   33mount received by a boy 33mount received by a girl   12 8   Mean amount   460/41   460/41 - 8 =132/41 12 - 460/41 = 32/41   Number of boys : Number of girls = 132/41 : 32/41 = 132 : 32 = 66 : 16 = 33 : 8   Given that number of boys + Number of girls = 41   Hence number of boys = 41×3341=33   33nswer : Option 33
<result>A</result>
Rs.460 was divided among 41 boys and girls such that each boy Rs.12 and each girl got Rs.8. What is
the number of boys?