Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10th
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The value of a motorcycle depreciates at a rate of 15% per year. What will be the value of the motorcycle for 3 year hence, which is now purchased for ₹ 45,000? - Mathematics

Sum

The value of a motorcycle depreciates at a rate of 15% per year. What will be the value of the motorcycle for 3 year hence, which is now purchased for ₹ 45,000?

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Solution

a = ₹ 45000
Depreciation = 15% for ₹ 45000

= `45000 xx 15/100`

d = ₹ 6750 since it is depreciation

d = – 6750

At the end of 1st year its value = ₹ 45000 – ₹ 6750

= ₹ 38250,

Again depreciation = `38250 xx 15/100` = 5737.50

At the end of 2nd year its value

= ₹ 38250 – ₹ 5737.50 = 32512.50

Again depreciation = `32512.50 xx 15/100` = 4876.88

At the end of the 3rd year its value

= 32512.50 – 4876.88

= 27635.63

∴ The value of the motorcycle at the 3rd year

= ₹ 27636

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APPEARS IN

Samacheer Kalvi Mathematics Class 10 SSLC Tamil Nadu State Board
Chapter 2 Numbers and Sequences
Unit Exercise – 2 | Q 10 | Page 83
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