In Sivakasi, each boy’s quota of match sticks to fill into boxes is not more than 200 per session. If he reduces the number of sticks per box by 25, he can fill 3 more boxes with the total number of sticks assigned to him. Which of the following is the possible number of sticks assigned to each boy ?	Choose one.
A) 200	B) 150	C) 100	D) 175	E) None
Explanation :   Let no. of matchstick assigned to boy=n;   no. of matchsticks he put in each box=x;   And, the no. of boxes=y;   Initially we have;   =&gt; n / x = y. -----------------------(i)   After he reduces no. of matchsticks in each box by 25, we have :-   =&gt; n / x - 25 = y + 3. -----------------------(ii)   On solving eq (i) and (ii), we have;   =&gt; n= 3* x * ( x - 25 ) / 25;   i.e. no. of stick must be a multiple of 25;   Let x=50, we have;   =&gt;3 * 50 * (50-25) /25.   =&gt; 3 * 50= 
<gadget id="calculator">3 * 50</gadget>
<output>150</output>
150.   Hence, the required number of sticks is 150.   Answer : 150
<result>B</result>
In Sivakasi, each boy’s quota of match sticks to fill into boxes is not more than 200 per session. If he reduces the number of sticks per box by 25, he can fill 3 more boxes with the total number of sticks assigned to him. Which of the following is the possible number of sticks assigned to each boy ?