From a number of mangoes, a man sells half the number of existing mangoes plus 1 to the first customer, then sells 1/3rd of the remaining number of mangoes plus 1 to the second customer, then 1/4th of the remaining number of mangoes plus 1 to the third customer and 1/5th of the remaining number of mangoes plus 1 to the fourth customer. He then finds that he does not have any mangoes left. How many mangoes did he have originally?	Pick one.
A) 12	B) 14	C) 15	D) 13	E) 16
Let the No. of mangoes that the man had originally = X   No. of mangoes sold balance   1st customer = (X/2) + 1 (X - 2)/2   2nd customer = (X - 2)/6 + 1 (X - 5)/3   3rd customer = (X - 5)/12 + 1 (X - 9)/4   4th customer = (X - 9)/20 + 1 0   (X - 9)/20 + 1= (X - 9)/4 =&gt; X = 14   ANSWER:14
<result>B</result>
From a number of mangoes, a man sells half the number of existing mangoes plus 1 to the first customer, then sells 1/3rd of the remaining number of mangoes plus 1 to the second customer, then 1/4th of the remaining number of mangoes plus 1 to the third customer and 1/5th of the remaining number of mangoes plus 1 to the fourth customer. He then finds that he does not have any mangoes left. How many mangoes did he have originally?