Question

the value of a machine, purchased two years ago, depreciates at 12 per annum. if its present worth is rupees 4840, for how much was it purchased.​

Answer 1

$\large\mathcal{\red{QUESTION:–}}$

The value of a machine, purchased two years ago, depreciates at 12 per annum. if its present worth is rupees 4840, for how much was it purchased.?

$\large\mathcal{\red{GIVEN:–}}$

present value=Rs 4840

Rate of depreciation=12%

time=2years

$\large\mathcal{\red{FIND:–}}$

value of machine 2 years ago.

$\large\mathcal{\red{SOLUTION:–}}$

Let the required value be x.Then,

4840=x{1 ‐ (12/100)}²

=>4840=x{(25‐3)/25}²

=>4840=x{22/25}²

=>4840=x × (22/25) × (22/25)

=>4840 × (25/22) × (25/22)=x

=>6,250=x

$\large\mathcal{\red{ANSWER:–}}$

Value of machine 2 years ago =Rs 6250.