RRB Paramedical Staff Nurse Model Paper 6

Question : 59 of 100

Marks: +1, -0

A man invested Rs. 32000 in a scheme in which the rate of interest p.a. get increased by 5% after every year and interest is compounded half yearly.
If rate of interest at the start is 15%, then find man will get how much less amount after two years, if the same sum is compounded annually at uniform rate p.a. which is 15% more than given rate earlier after same period of time(approximate)?

Rs. 8235
Rs. 9235
Rs. 63581
Rs. 9335

Validate

Solution:

Rate for first year

=15%

Half yearly rate

=15{/}2%

Rate for second year

=15 \%+5 \%=20 \%

Half yearly rate

=10\%

Amount after two years

=32000(1+\;{15}/{200})^{2} ×(1+\;{10}/{100})^{2}

=32000 × \;{43}/{40} × \;{43}/{40} × \;{11}/{10} × \;{11}/{10}

=44745.8 ≈ Rs. 44745

Amount if rate

=2020+15=30 \%

Amount

=32000 ×(1+\;{30}/{100})^{2}

=32000 × \;{13}/{10} × \;{13}/{10}

= \Rs.54080

Required difference

=54080-44745=\Rs 9335

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