What is the rate of interest pcpa ?Statements:I. The difference between the compound interest and simple interest earned in two years on the amount invested is Rs.100.II. The amount becomes Rs.19,500 in three years on simple interest.III. The simple interest acquired in two years on the same amount at the same rate of interest is Rs. 3,000.

What is the rate of interest pcpa ?Statements:I. The difference betwee

1.	What is the rate of interest pcpa ?Statements:I. The difference between the compound interest and simple interest earned in two years on the amount invested is Rs.100.II. The amount becomes Rs.19,500 in three years on simple interest.III. The simple interest acquired in two years on the same amount at the same rate of interest is Rs. 3,000.
Answer» <P>only I and II only I and III only II and III only I and either II or III Solution :From statement I, If the investment AMOUNT be Rs.P and rate of interest be R p.c.p. a. then Difference `=P((R)/(100))^(2)==(PR^(2))/(10000)=100""...(i)` From Statement II, `(PR_(1)xx3)/(100)=19500-P""(ii)` From Statement III, `(PRxx2)/(100)=3000""(iii)` DIVIDING equation (i) by (iii), `(PR^(2))/(PR)=(1000000)/(150000)=20/3` `impliesR=30/3p.c.p.a`