1.

Rajni invested ₹15000 at simple interest for 2 years at the rate of R% and gets an interest of ₹2100.He invested total amount (Principal+Interest) in a scheme.which offered compound interest at the rate of (R%+x%) for two years.→What are the possible integral values of 'x%' so that obtained compound interest is less than ₹3000. (i) 1% (ii) 2% (iii) 3% (iv) 4% (v) 5%

Answer»

only (i)
only (i).(ii)
only (i).(ii)and(III)
only (i).(ii).(iii) and (iv)

Solution :`(2R)/100 xx 15000 = 2100`
R = 7%
Now for x =1
R = 8%for CI
EquivalentCI at rate of 8%for 2 yrs = 8+ 8+ ` 64/100` = 16.64%
CI at 8%for 2 yr ` = ( 16.64)/100 xx 12100 = 16.64 xx 121`
APPROXIMATELY=` 16.64 xx 121 = 2013`
For9%
` Cl = ( 20 .13)/100 xx 12100 = 20.13 xx 121`
Approx =` 20 xx 121 = 2420`
For `10 % = 24/100 xx 12100 = 2904`
So, 3 values of x are possible i.e, 1,2, and 3 .


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