# Two friends P and Q started a business investing in the ratio of 5 : 6. R joined them after 6 months investing an amount equal to that of Q's. At the end of the year, 20% profit was earned which was equal to Rs. 98,000. What was the amount invested by R?

A.  Rs. 1,00,000

B.  Rs. 1,05,000

C.  Rs. 1,10,000

D.  Rs. 1,15,000

1
Rs. 1,05,000
Explanation :

=> Ratio of investment of P and Q = 5 : 6

=> Say money invested by P and Q = Z

=> The amount invested by Q = 6Z / ( 5 + 6 ) = 6Z / 11

=> Similarly, the amount invested by P = 5Z / 11

=> R invested the amount after 6 months and he invested the amount same as Q

=> So, R's investment = 6Z / 11

=> Total Investment Y =  P's Investment for 12 months x Q's investment for 12 months x R's investment for 6 months

=> Y = (5Z / 11) x 12 + (6Z / 11) x 12 +  (6Z/11) x 6

=> Y = 168Z / 11

=> Profit = 20% of total investment Y

=> 98000 = (20 / 100) x Y

=> Y = 490000

=> 490000 = 168Z / 11

=> Z = 490000 x 11 / 168

=> R's investment = 36Z / 11 = 105000

## Interview Questions

 MongoDB Java Script Node JS PHP JQuery Python