A starts a business with Rs.40,000. After 2 months, B joined him with Rs.60,000. C joined them after some more time with Rs.1,20,000. At the end of the year, out of a total profit of Rs.3,75,000, C gets Rs.1,50,000 as his share. How many months after B joined the business, did C join? Pick: A) 4 months B) 5 months C) 6 months D) 7 months E) 8 months
Explanation:   Assume that C was there in the business for x months   A:B:C   =40000×12:60000×10:120000 × x   =40×12:60×10:120x   =40:5×10:10 x   =8:10:2x   =4:5:x   C's share =375000 x/ 9+x=375000 x/9+x   ⇒375000 x/9+x=150000   ⇒375x9+x=150   ⇒15x=6(9+x)   ⇒5x=18+2x   ⇒3x=18   ⇒x=6   It means C was there in the business for 6 months. Given that B joined the business after 2 months. Hence C joined 4 months after B joined.   4 monthsnswer: Option 4 months
<result>A</result>
A starts a business with Rs.40,000. After 2 months, B joined him with Rs.60,000. C joined them after some more time with Rs.1,20,000. At the end of the year, out of a total profit of Rs.3,75,000, C gets Rs.1,50,000 as his share. How many months after B joined the business, did C join?