Question

4. If the simple interest on a sum of money at 5% p.a. annum for 3 years is Rs. 1200, find the
compound interest for the same sum for the same period at the same rate.
5. If the difference between the compound interest and simple interest on a certain sum of
money for 2 years at 12 % per annum is Rs. 150. The sum is :
(a) Rs.9000 (b) Rs.9200 (c) Rs.9500 (d) Rs.9600​

Answer 1

Step-by-step explanation:

4 . Rate = 5% p.a., Time = 3 years, S.I.= Rs. 1200. . .

So principal=RS [100*1200]/3*5=RS 8000

Amount = Rs. 8000 x [1 +5/100]^3 - = Rs. 9261.

.. C.I. = Rs. (9261 - 8000) = Rs. 1261.

5. Let the amount be x,

then

simple interest for 1.5 years

= PRT/100=x×12×1.5/100=18x /100 ---(1)

compound interest for 1 year

CI=x(1+r)=x(1+0.12)=1.12x

for neat 6 months

CI= 1.12x(1+0.06)=1.872x

net compound interest

CI=1.872x-x=0.1872x

now given CI-SI=150

0.1872x - 0.18x =150

0.0072x=150

x=

0.0072

150

=20,833.33 RS.

∴ The total amount is 20,833.33 RS.

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