The value of a machine depreciates at the rate of 25% each year. If th

1.	The value of a machine depreciates at the rate of 25% each year. If the difference between its value at the end of the second year and the third year is Rs.24,000, then what is the value (in Rs.) of the machine at the end of the first year?1. 1,28,0002. 1,00,0003. 1,35,0004. 1,12,000
Answer» Correct Answer - Option 1 : 1,28,000 Given: The value of a machine depreciates at the rate of 25% each year. Concept Used: Price after depreciation = Original price × (100 - depreciation %)/100 Calculation: Let value of the machine at the end of first year be Rs.a The value of the machine at the end of second year = a × 75/100 The value of the machine at the end of third year = a × 75/100 × 75/100 Accordingly, a × 75/100 - a × 75/100 × 75/100 = 24000 ⇒ a = 128000 ∴ The value of machine at the end of first year is Rs.128000.

The value of a machine depreciates at the rate of 25% each year. If the difference between its value at the end of the second year and the third year is Rs.24,000, then what is the value (in Rs.) of the machine at the end of the first year?1. 1,28,0002. 1,00,0003. 1,35,0004. 1,12,000

Answer» Correct Answer - Option 1 : 1,28,000

Given:

The value of a machine depreciates at the rate of 25% each year.

Concept Used:

Price after depreciation = Original price × (100 - depreciation %)/100

Calculation:

Let value of the machine at the end of first year be Rs.a

The value of the machine at the end of second year = a × 75/100

The value of the machine at the end of third year = a × 75/100 × 75/100

Accordingly,

a × 75/100 - a × 75/100 × 75/100 = 24000

⇒ a = 128000

∴ The value of machine at the end of first year is Rs.128000.

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