Question

(b)The value of a car purchased 2 years ago depreciates by 10% every year. It’s present value is Rs 121500. Find the cost price of the car. What will be its value after 2 years?

Answer 1

Step-by-step explanation:

1. present value: 121500
2. cost price =121500±20%of 121500 =121500±24300=145800
3. cost price after 2 years=121500-20%of 121500=121500-24300=97200

Answer 2

★ Solution :-

First, we should find the value of the car, 1 year ago.

Value of car (1 year later) :-

$\sf \leadsto 121500 - (10\% \: of \: 121500)$

$\sf \leadsto 121500 - \bigg( \dfrac{10}{100} \times 121500 \bigg)$

$\sf \leadsto 121500 - \bigg( \dfrac{10}{1} \times 1215 \bigg)$

$\sf \leadsto 121500 - (10 \times 1215)$

$\sf \leadsto 121500 - 12150$

$\sf \leadsto rs.119350$

Value of car (2 years later) :-

$\sf \leadsto 119350 - (10\% \: of \: 119350)$

$\sf \leadsto 119350 - \bigg( \dfrac{10}{100} \times 119350 \bigg)$

$\sf \leadsto 119350 - \bigg( \dfrac{10}{2} \times 2387 \bigg)$

$\sf \leadsto 119350 - (5 \times 2387)$

$\sf \leadsto 119350 - 11935$

$\sf \leadsto rs.107415$

Therefore, the value of the car, 2 years later will be ₹107415.