Question

Answer the following inter-related questions.A) An item was $800 new. Its value has depreciated 70% since then, so that it is worth 30% of its original value. Give its current value. Answer: $B) An item is worth $240 now. This is 30% of what it was originally worth. What was it originally worth? Answer: $C) An item is worth $240 now. This is after a 70% decrease in value. What was its original worth?

Answer 1

Answer:

a) The current price = $240

b) original worth = $800

c) Its original worth = $800

Step-by-step explanation:

Given:

An item was $800

depreciation = 70%

To find:

Answer the following inter-related questions.

a) Initial value = $800

amount depreciated = 70% (800) = 0.7(800)

amount depreciated = $560

The current price = initial price - amount depreciated

The current price = 800 - 560

The current price = $240

b) the present worth of the item = $240

240 = 30% of the original worth

240 = 0.3 × original worth

divide both sides by 0.3:

240/0.3 = original worth

original worth = $800

c) current worth = $240

let the original worth = y

70% decrease in value = 70% × y

= 0.7 × y = 0.7y

A 70% decrease in the original worth = original worth - the decrease

A 70% decrease in the original worth = y - 0.7y

A 70% decrease in the original worth = 0.3y

The question says after a 70% decrease in value, we have $240

0.3y = 240

divide both sides by 0.3:

y = 240/0.3

y = 800

Its original worth = $800