Please solve 21 Find Compound interest paid when a sum of Rs 10000 is invested for - Maths - Comparing Quantities

Question

Please solve

21 Find Compound interest paid when a sum of Rs
10000 is invested for 1 year and 3 months at 8 5% per annum
compounded annually Would this interest be more than the interest
he would get if it was compounded half yearly?

22 The cost of production plant is Rs 90000 If its
value depreciates at 10% annually, find the value of the plant
after 4 years

Shruti Tyagi · Accepted Answer

Dear student,

Principal P=Rs 10000Time t=1+312=114yearsRate R=8
5%Now Amount to be paid after 1 yearA=P1+R100t⇒A=100001+8
51001⇒A=100001+851000⇒A=100001+17200⇒A=10000×217200⇒A=50×217⇒A=Rs 10850CI =A-P=10850-10000=Rs 850Amount to be paid after 14 yearSI=PRT100SI=10000+850×8
5×1100×4SI=10850×85×11000×4SI=Rs 230
56Total interest to be paid in componded annually=Rs 850+Rs 230
56=Rs 1080
56For compounded half yearlyPrincipal P=Rs 10000Time t=1+312=54×2=52years=2 years and 5 monthsRate R=172×12=174%Amount to be paid after 2 yearsA=100001+174002=100004174002=10000×417400×417400=17388916=10868
06CI =A-P=10868 06-10000=Rs 868
06Amount to be paid after 5 monthsSI=10000+868
06×8 5×5100×12=10868 06×8
5×5100×12=Rs 384
91Total interest to be paid in half yearly=868
06+384 91=Rs 1252
97No, interest would be more in half yearly case

Regards