Three friends sai, vani and ram divide $1020 amongs them in such a way that if $10, $20 and $15 are removed from the sums that sai, vani and ram received respectively, then the share of the sums that they got will be in the ratio of 8 : 4 : 2. How much did ram receive?
Pick one
A) $147
B) $142
C) $242
D) $122
E) $143
Explanatory Answer   Let the sums of money received by A, B and C be x, y and z respectively.   Then x - 10 : y - 20 : z -15 is 8a : 4a : 2a   When $10, $20 and $15 are removed, we are removing a total of $45 from $1020.   Therefore, 8a + 4a + 2a = 1020 - 45= 
<gadget id="calculator">1020 - 45</gadget>
<output>975</output>
975   i.e., 14a= 975   or a = 70.   We know that z - 2 = 70a = 2 * 70= 
<gadget id="calculator">2 * 70</gadget>
<output>140</output>
140   Therefore, z= 140 + 2= 
<gadget id="calculator">140 + 2</gadget>
<output>142</output>
$142   The correct choice is ($142)
<result>B</result>
Three friends sai, vani and ram divide $1020 amongs them in such a way that if $10, $20 and $15 are removed from the sums that sai, vani and ram received respectively, then the share of the sums that they got will be in the ratio of 8 : 4 : 2. How much did ram receive?