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Find the Amount Which Ram Will Get on Rs 4,096, He Gave It for 18 Months at `12 1by2` %Per Annum, Interest Being Compounded Half Yearly. - CBSE Class 8 - Mathematics

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Question

Find the amount which Ram will get on Rs 4,096, he gave it for 18 months at `12 1/2` %per annum, interest being compounded half yearly.

Solution

P = Rs 4,096

R =  `12 1/2` % per annum = `25/4` % per half year

n = 18 months

There will be 3 half years in 18 months.

Therefore,

A = Rs`[4096(1 + 25/400)^3] =  Rs[4096(1 + 1/16)^3]`

= Rs `(4096xx 17/16 xx 17/16  xx 17/16)` = Rs 4913

Thus, the required amount is Rs 4,913.

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APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 8 (2018 to Current)
Chapter 8: Comparing Quantities
Ex. 8.30 | Q: 9 | Page no. 134

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Solution Find the Amount Which Ram Will Get on Rs 4,096, He Gave It for 18 Months at `12 1by2` %Per Annum, Interest Being Compounded Half Yearly. Concept: Rate Compounded Annually Or Half Yearly (Semi Annually).
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