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The value of a house appreciates 5% per year. How much is the house worth after 6 years if its current worth is ₹ 15 Lac. [Given: (1.05)5 = 1.28, (1.05)6 = 1.34]

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प्रश्न

The value of a house appreciates 5% per year. How much is the house worth after 6 years if its current worth is ₹ 15 Lac. [Given: (1.05)5 = 1.28, (1.05)6 = 1.34]

योग
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उत्तर

Since the current worth of the house is ₹ 15 Lac and it appreciates 5% per year, the value of the house in every successive year form a G.P. with a = 15 Lac and r = `1 + 5/100` = 1.05

∴ value of the house after 6 years

= t7 = ar7–1

= 15(1.05)6

= 15 × 1.34

= 20.1 Lac

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अध्याय 2: Sequences and Series - Exercise 2.2 [पृष्ठ ३२]

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बालभारती Mathematics and Statistics (Arts and Science) Part 2 [English] Standard 11 Maharashtra State Board
अध्याय 2 Sequences and Series
Exercise 2.2 | Q 12 | पृष्ठ ३२

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