Rajiv can do a piece of work in 10 days , Venky in 12 days and Ravi in 15 days. They all start the work together, but Rajiv leaves after 2 days and Venky leaves 3 days before the work is completed. In how many days is the work completed ?  Choose the most appropriate option.
A) 7
B) 6
C) 5
D) 4
E) 3
(Rajiv +venky+ravi) 2 days work= 2(1/10+1/12+1/15)=1/2   ravi works alone for last 3 days = 3*1/15=1/5   total work 1/2+1/5=7/10   remaining work=1-7/10=3/10   (venky+ravi) 1 days work=1/12+1/15=9/60=3/20   3/10 work will be done by venky and ravi in  3/10*20/3= 
<gadget id="calculator"> 3/10*20/3</gadget>
<output>2</output>
2 days   total days is the work completed= 2+3+2= 
<gadget id="calculator">2+3+2</gadget>
<output>7</output>
7 days   7NSWER:7
<result>A</result>
Rajiv can do a piece of work in 10 days , Venky in 12 days and Ravi in 15 days. They all start the work together, but Rajiv leaves after 2 days and Venky leaves 3 days before the work is completed. In how many days is the work completed ?