# Ex.8.3 Q12 Comparing Quantities Solutions - NCERT Maths Class 8

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## Question

A scooter was bought at \( \rm{Rs}\, 42,000\). Its value depreciated at the rate of \(8\%\) per annum. Find its value after one year

Video Solution

Comparing Quantities

Ex 8.3 | Question 12

## Text Solution

**What is known?**

Original Value, Rate of Depreciation

**What is unknown?**

The value of scooter after \(1\) year

**Reasoning:**

Original value of the scooter \(= \rm{Rs}\, 42,000\)

Rate of depreciation \(= 8\%\)

**Steps:**

The value of the scooter after \(1\) year

\[\begin{align} &= 42000 - \left( {42000 \times \frac{8}{{100}}} \right) \\ &= 42000 - \left( {42000 \times \frac{2}{{25}}} \right) \\ &= 42000 - \left( {1680 \times 2} \right) \\ &= 42000 - 3360 \\ &= 38640 \\ \end{align}\]

The value of the scooter after \(1\) year (\(8\%\) depreciation rate) \(= \rm{Rs}\, 38640.\)