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During Every Financial Year, the Value of a Machine Depreciates by 12%. Find the Original Cost of a Machine Which Depreciates by Rs. 2,640 During the Second Financial Year of Its Purchase. - Mathematics

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प्रश्न

During every financial year, the value of a machine depreciates by 12%. Find the original cost of a machine which depreciates by Rs. 2,640 during the second financial year of its purchase.

योग
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उत्तर

Let original value of machine = Rs. 100
For 1st year
P = Rs. 100; R = 12% and T = 1 year
Depreciation in 1st year = Rs `[100 xx 12 xx 1]/[100]` = Rs.12

Value at the end of 1st year = Rs. 100 - Rs. 12 = Rs. 88

For 2nd year

P = Rs. 88;  R = 12% and T = 1 year

Depreciation in 2nd year = Rs.`[88 xx 12 xx 1]/[100]` = Rs. 10.56

When depreciation in 2nd year is Rs.10.56, original cost is Rs.100

When depreciation in 2nd year is Rs.2,640, original cost = `[100 xx 2640 ]/[10.56]` = Rs. 25,000

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अध्याय 2: Compound Interest (Without using formula) - Exercise 2 (D) [पृष्ठ ३९]

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सेलिना Concise Mathematics [English] Class 9 ICSE
अध्याय 2 Compound Interest (Without using formula)
Exercise 2 (D) | Q 5 | पृष्ठ ३९

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