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The Cost of a Scooter Depreciated by Rs 5100 During the Second Year and by Rs 4,335 During the Third Year. Calculate - Mathematics

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प्रश्न

The cost of a scooter depreciated by Rs 5100 during the second year and by Rs 4,335 during the third year. Calculate

The original cost of the scooter.

योग
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उत्तर

Depreciation for first year = Rs 5, 100 + 15 % of Rs 5, 100 
Here, 15 % of Rs 5, 100 = Rs 765 
Hence, Depreciation for first year= Rs 5, 100 +Rs 765 =Rs 5,865 
Total depreciation for 3 years

= Rs (5,865 + 5,100 + 4335) =Rs 15,300 

A = P - Rs 15300 ;  P=x

`"A" = "P" (1 + "r"/100)^"n"`

`"x" - 15300 = x (1 - 15/100)^3`

x -15,300 =x ×  0.85 × 0.85 × 0.85

x (1 - 0.614) = Rs 15,300

`"x" = "Rs"  15300/0.386` 

x = Rs 39, 637.31

⇒  x = Rs 40,000 (approx)

Oriqinal cost of soooter =Rs 40,000 

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Use of Formula
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Compound Interest - Exercise 1.4 [पृष्ठ १३]

APPEARS IN

फ्रैंक Mathematics - Part 2 [English] Class 10 ICSE
अध्याय 1 Compound Interest
Exercise 1.4 | Q 11.2 | पृष्ठ १३

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