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

A sum of ₹ 46,900 was lent out at simple interest and at the end of 2 years, the total amount was ₹ 53,466. Find the rate of interest per year - Mathematics

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Question

A sum of ₹ 46,900 was lent out at simple interest and at the end of 2 years, the total amount was ₹ 53,466. Find the rate of interest per year

Sum
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Solution

Here principal P = ₹ 46900

Time n = 2 years

Amount A = ₹ 53466

Let r be the rate of interest per year

Interest I = `"Pnr"/100`

A = P + I

53466 = 46900 + `(46900 xx 2 xx "r")/100`

53466 – 46900 = `(46900 xx 2 xx "r")/100`

6566 = 469 × 2 × r

r = `6566/(2 xx 469)%`

= 7%

Rate of interest = 7% per year

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Chapter 2: Percentage and Simple Interest - Exercise 2.5 [Page 46]

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Samacheer Kalvi Mathematics - Term 3 [English] Class 7 TN Board
Chapter 2 Percentage and Simple Interest
Exercise 2.5 | Q 25 | Page 46

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