Question

The value of a flat worth rs 500000 is depreciated at the rate of 10 persent p.a in how many years will its value be reduced to 364500 rs

Answer 1

Answer:

TIME = 3 YEARS

Step-by-step explanation:

Given

Original value of flat = Rs 500000

depreciated value = 10 % p.a

To Find

Time of reduction when it's value will be 364500

_______________________________________________________________

Let's take present value as 364500.

We know the formula :

$\bold {a = p {\bigg(1 - \dfrac{depriciation \: \% \: age}{100} \bigg)}^{2} }$

We know amount and principal both.

$\bf{ \implies \: 500000 = 364500 \bigg(1 - \frac{10}{100} \bigg)^{2} }$

$\bf { \implies \dfrac{364500}{500000} = \bigg(1 - \dfrac{10}{100} \bigg)^{2} }$

$\bf { \implies \: \dfrac{364500}{500000} = \bigg( \dfrac{90}{100} \bigg) ^{t} }$

$\bf{ \implies \: \dfrac{729}{1000} = \bigg( \dfrac{9}{10} \bigg) ^{t} }$

$\bf \implies \bigg( \dfrac{9}{10} \bigg)^{3} = \bigg( \dfrac{9}{10} \bigg)^{t}$

$\bf \implies \: 3 = t$

Time = 3 years.

Tips

• Do not round off answers in your calculations until you get the final answer.

• If a value keeps on depreciating with same percentage , this is the most convenient formula used.

• The formula has many day life application.

Finance : Finding Compound Interest.

Prediction : It is used to predict on population after a particular period of time.

Business : Rise and fall of amount of an item.

Answer 2

Step-by-step explanation:

⭐!! Heya Friends !!⭐

⭐!! Question !!⭐

• The value of a flat worth rs 500000 is depreciated at the rate of 10 persent p.a in how many years will its value be reduced to 364500 rs.

⭐!! Given !!⭐

• Machine Principal = 500000
• Machine Amount = 364500
• the rate = 10 %

⭐!! To Find !!⭐

• how many years

⭐!! Solution !!⭐

Amount = Principal (1-R/100)^n

putting values

364500 = 500000(1 - 10/100)^n

364500/500000 = (90/100)^n

729/1000 = (9/10)^n

(9/10)^3 = (9/10)^n

n = 3

Hence , In 3 years machine value be reduced to 364500 Rs

Internal Information:-

Compound Interest = Amount – Principal

• A = amount
• P = principal
• R = rate of interest
• n = number of years