Two friends P and Q started a business investing in the ratio of 5 6. R joined them after six 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? `R s .105000` b. `R s .175000` c. `R s .210000` d. Data inadequate e. none of these

Options

A. `₹1,05,000`
B. `₹1,75,000`
C. `₹2,10,000`
D. Data inadequate

Answer

C

Explanation

Let the total investment be `₹x`.
Then, `20%` of `x =98000`.
`rArr x=((98000xx 100)/(20))=490000`.
Let the capitals of P,Q and R be `₹5x, ₹6x and ₹6x` respectively. Then,
`(5x xx 12)+(6x xx 12)+(6x xx 6)=490000 xx 12`
` rArr 168x = 490000xx 12 rArr x=((490000 xx 12)/(168))=35000`.
`therefore` R's investment `=6x=₹ (6xx 35000)= ₹ 210000`.