## Answers

### This Is a Certified Answer

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__p=Rs.2000__

__R=20% p.a__

__T=1 1/2 y.__

__2ND P compounded half yearly=__

__Rs.2000+Rs.2000*20/100*1/2__

__=200+2000__

__=Rs.2200__

__3RD:__

__Rs 2200+Rs.2200*20/100*1/2__

__=Rs.2420__

__4th and final (if compounded 1/2 yearly)__

__=Rs.2420+Rs.2420*20/100*1/2__

**=Rs.2662**

__CI=Rs.2662-2000=__

__Rs.662__

__===================================================__

__iF IT IS Quarterly:__

__.p=Rs.2000__

__R=20% p.a__

__T=1 1/2 y.__

__2ND P compounded quarterly=__

__Rs.2000+Rs.2000*20/100*1/4__

__=100+2000__

__=Rs.2100__

__3RD:__

__Rs 2100+Rs.2100*20/100*1/4__

__=Rs.2205__

__4TH:__

__Rs.2205+Rs.2205*20/100*1/4__

__=2315.25__

__5TH:__

__Rs.2315.25+Rs.2315.25*20/100*1/4__

__=Rs.2431.0125__

__=Rs.2431.01(approx)__

__6th:__

__Rs.2431.01+Rs.2431.01*20/100*1/4__

__=Rs.2552.5605__

__=Rs.2552.56 (approx)__

__7th and last=__

__Rs.2552.56+Rs.2552.56*1/4*20/100__

__=2680.18 (approx)__

__CI=Rs.680.18__### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

*Compounded half yearly:*P = Rs 2,000. r = 20% per annum.. r = 10% per half year.

n = number of times compounded = 1.50 yrs / 0.50 yrs = 3 times

Sum = P (1+r/100)^n = 2, 000 (1 + 10/100)³ = Rs 2,000 * 1.1³

Compound interest = sum - P = Rs 2, 000 (1.1^3 - 1) = Rs 662

**:**

*Compounded quarterly*n = 1.50 yrs / 0.25 yrs = 6

Sum = Rs 2, 000 (1 + 10/100)⁶ = Rs 2, 000 * 1.1⁶

compound interest = Rs 1, 543.12

*So the interests are : Rs 662, and Rs 1, 543.12 respectively.*
P = Rs 2,000. r = 20%

n = number of times compounded = 1.50 yrs / 0.50 yrs = 3 times

Sum = P (1+r/100)^n = 2, 000 (1 + 20/100)^3 = Rs 2,000 * 1.2^3

Compound interest = sum - P = Rs 2, 000 (1.2^3 - 1) = Rs 1, 456

compounded quarterly:

n = 1.50 yrs / 0.25 yrs = 6

Sum = Rs 2, 000 ( 1 + 20/100)^6 = Rs 2, 000 * 1.2^6

interest = Rs 3, 971.97

============

P = Rs 2,000. r = 20% per annum.. r = 10% per half year.

n = number of times compounded = 1.50 yrs / 0.50 yrs = 3 times

Sum = P (1+r/100)^n = 2, 000 (1 + 10/100)^3 = Rs 2,000 * 1.1^3

Compound interest = sum - P = Rs 2, 000 (1.1^3 - 1) = Rs 662

compounded quarterly:

n = 1.50 yrs / 0.25 yrs = 6

Sum = Rs 2, 000 ( 1 + 10/100)^6 = Rs 2, 000 * 1.1^6

compound interest = Rs 1, 543.12