1.SI=A-P=Rs.2125.50-Rs.1950

=Rs.175.50

R=5%

T=100*SI/(R*P)=100*175.50/(5*1950)

or, T=1.8 years.

=1 year +0.8 years.

=1 year + 8/10*365 days

=1 year and 292 days.

The required date will be 1 year and 292 days later 5th Jan 2011.

The next year is 2012 .

__Note that the number of days (in total) is 365+292=657 but here we will take 658 days into account since a leap year has 1 extra day.__

The required date=(30-5)+31+31+30+31+30+31+31+**29+**31+30+31+30+31+31+30+31+30+31+31+**28**+(31-7) By trial and error method is __24th March 2013.__

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2.Let the rate be x%.

1st case:

P=Rs.2400 ,T=3 y , R=x%

⇒SI=P*R*T⇒2400*3*x/100=72x.

2nd case:

P=Rs.2000 ,T=3y , R=x%

⇒SI=P*R*T⇒2000*3*x/100=60x.

Given , 72x-60x=60.

⇒12x=60

⇒x=60/12=5.

__Ans:The rate is 5% p.a.__

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