Q85 of 96 Page 287

If principal = Rs 1,00,000. rate of interest = 10% compounded half yearly. Find

(i) Interest for 6 months.


(ii) Amount after 6 months.


(iii) Interest for next 6 months.


(iv) Amount after one year.

Given that, principal(P) = Rs 1,00,000. Rate of interest(R) = 10% compounded half yearly.

⇒ We have, Compound interest = Amount - Principal



(i) (∵ n = 1 for 6 months)




= Rs.1,05,000


⇒∵ Compound interest = A - P


⇒ Interest for 6 months = 105000 - 100000


= Rs. 5,000


(ii)Amount after 6 months = Rs.1,05,000 (calculated above)


(iii)For this, P = Amount after 6 months = Rs.1,05,000


⇒ (∵ n = 1 for 6 months)




= Rs.1,10,250


⇒∵ Compound interest = A - P


⇒ Interest for next 6 months = 110250 - 105000


= Rs. 5,250


(iv) Amount after one year = Rs.1,10,250 (calculated above)


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