Raj invested Rs 10000 in the first year. Assuming the loss he faced was x%.
The amount after 1 year is
10,000×(1−).=10000−100×x Given the balance was greater than Rs 5000 and hence
x<50 When Raj invested this amount in the second year he earned a profit which is five times that of the first-year percentage.
Hence the amount after the second year is :
(10000−100x)(1+). Raj gained a total of 35 percent over the period of two years and hence the 35 percent is Rs 3500.
Hence the final amount is Rs 13,500.
(10000−100x)(1+)=13,500 (100+5.x).(100−x)=13500 10000−100×x+500×x−5×x2=13500 x2−40x+3500=0 Solving the equation the roots are :
x=10,x=70 Since
x<50,x=10%.