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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 7

A sum of ₹ 48,000 was lent out at simple interest and at the end of 2 years and 3 months the total amount was ₹ 55,560. Find the rate of interest per year. - Mathematics

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Question

A sum of ₹ 48,000 was lent out at simple interest and at the end of 2 years and 3 months the total amount was ₹ 55,560. Find the rate of interest per year

Sum

Solution

Given Principal P = ₹ 48,000

Time n = 2 years 3 months

= `2 + 3/12` years

= `2 + 1/4` years

= `8/4 + 1/4` years

= `9/4` years

Amount A = ₹ 55,560

A = P + I

55560 = 48000 + I

I = 55560 – 48000 = ₹ 7560

∴ Interest for `9/4` years = ₹ 7560

Simple intrest = `"Pnr"/100`

7560 = `48000 xx 9/4 xx "r"/100`

r = `(7560 xx 4 xx 100)/(9 xx 48000)`

= 7.09%

= 7%

Rate of interest = 7% Per annum

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Chapter 2: Percentage and Simple Interest - Exercise 2.4 [Page 44]

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Samacheer Kalvi Mathematics - Term 3 [English] Class 7 TN Board
Chapter 2 Percentage and Simple Interest
Exercise 2.4 | Q 7 | Page 44
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