a refrigerator has purchased one year ago for rupees 20000. it value depreciates at the rate of 15% per annum. find :
(i) it's present value
(ii) it's value after 1 year.
please tell me the answer
Answers
Answer:
The present value of the refrigerator after 1 year is 23529.41 whereas its value after 1 year is 17000.
Step-by-step explanation:
Step 1: We first write down the necessary formulas in this question.
Formula for present value = PV
Where P = Principal value.
V = the present value factor and in this case its equal to :
V = 1/(1 - i)ⁿ
n = Time in years
I = rate of depreciation.
Value after n years = P(1 - i)ⁿ
Step 2: Identify the given values.
i = 15%
P = Rupees 20000
Step 3 : Answer the questions.
I) The present value after 1 year
= 20000 × 1/(1 - 0.15)¹
= 23529.41
Ii) Value after 1 year.
= 20000(1 - 0.15)¹ = 17000
Answer:
a)Cost price of Refrigerator 20,000
Cost price of Refrigerator 20,000Rate of decrease is 15%
Decreased amount is
15/100 ×20,000=3,000
So the present price is 20,000−3,000=17,000
b)Decrease amount a year after is
Decrease amount a year after is 15/100 ×17,000=2550
Decrease amount a year after is 15/100 ×17,000=2550So the price is 17,000−2,550=14,450Rs.