Question

The price of imobile increases by 16.66% in the 1st year of its launch over the basic orice decreases by 37.5% in the second year and then increases by 57 14% in 3rd year at 3 years imobile's price is Rs. 1,65,000 then what was the basic price of imobile apptomatyta​

Answer 1

Q-The price of mobile increases by 16.66% in the 1st year of its launch. over the basic price decreases by 37.5% in the second year and then increases by 57.14% in 3rd year. After 3 years mobile's price is Rs. 1,65,000 then what was the basic price of the mobile at the time of launch?

Given,

In first-year price increase = 16.66%

In the second year price decreased = 37.5%

In the third year, the price increase = 57.14%

Price of the mobile in third year = 165000

To Find,

The basic price of the mobile in the first year =?

Solution,

Let the cost of the mobile in the first year be x

In first-year price increase = 16.66% of x

In first-year price increase = 16.66x / 100

Total price after increase in first year = x + 16.66x / 100

Total price after increase in first year = x + 0.1666x

Total price after increase in first year = 1.17x

In the second year price decrease = 37.5%

In the second year price decrease = 37.5% of 1.17x

In the second year price decrease = 1.17x * 37.5/100

In the second year price decrease = 0.438x

In the second year price decrease = 0.44x

Total price after the decrease in the second year =1.17x - 0.44x

Total price after the decrease in the second year = 0.73x

In the third year, the price increase = 57.14%

In the third year, the price increase = 57.14% of 0.73x

In the third year, the price increase = 0.73x * 57.14 / 100

In the third year, the price increase = 0.42x

Total price after the increase in the third year = 0.73x + 0.42x

Total price after the increase in the third year = 1.147x

The price in the third year = 165000 = Total price after the increase in the third year

1.147x = 165000

x = 165000 / 1.147

x = Rs. 143853.5

Hence, the basic price of the mobile at the time of launch is

Rs. 143853.53.

Answer 2

Concept Introduction:-

It could take the shape of a word or a numerical representation of a quantity's arithmetic value.

Given Information:-

We have been given that In first-year price increase$= 16.66\%$

In the second year price decreased $= 37.5\%$

In the third year, the price increase$= 57.14\%$

Price of the mobile in third year $= 165000$

To Find:-

We have to find that the basic price of the mobile in the first year$=?$

Solution:-

According to the problem

Let the cost of the mobile in the first year be $x$

In first-year price increase $= 16.66\%$ of $x$

In first-year price increase $= 16.66x / 100$

Total price after increase in first year$= x + 16.66x / 100$

Total price after increase in first year $= x + 0.1666x$

Total price after increase in first year $= 1.17x$

In the second year price decrease $= 37.5\%$

In the second year price decrease $= 37.5\%$ of $1.17x$

In the second year price decrease$= 1.17x \times 37.5/100$

In the second year price decrease$= 0.438x$

In the second year price decrease $= 0.44x$

Total price after the decrease in the second year$=1.17x - 0.44x$

Total price after the decrease in the second year $= 0.73x$

In the third year, the price increase $= 57.14\%$

In the third year, the price increase $= 57.14\%$ of $0.73x$

In the third year, the price increase $= 0.73x \times 57.14 / 100$

In the third year, the price increase$= 0.42x$

Total price after the increase in the third year$= 0.73x + 0.42x$

Total price after the increase in the third year $= 1.147x$

The price in the third year $= 165000 =$Total price after the increase in the third year

$1.147x = 165000\\x = 165000 / 1.147\\x = Rs. 143853.5$

Final Answer:-

The basic price of the mobile at the time of launch is Rs. $143853.53$.

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