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Q.

The cost of a T.V. set was quoted Rs. 17000 at the beginning of 1999. In the beginning of 2000, the price was hiked by 5 %. Because of decrease in demand the cost was reduced by 4 % in the beginning of 2001. What was the cost of the T.V. set in 2001?

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a

Rs. 17,816

b

Rs. 57,136

c

Rs. 17,136

d

Rs. 27,136

answer is D.

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Detailed Solution

Given,
Cost of T.V at beginning of 1999 is (P) = Rs. 17000,
Hiked in price in the year 2000 is = 5%,
Depreciation rate in the year 2001 is = 4%.
The depreciation rate is the percentage rate at which asset is depreciated across the estimated productive life of the asset.
Using the formula,

A = P 1 + R 1 100 1 − R 2 100

,
Here,

R 1

is hike in price,

R 2

is depreciation rate.
Since it is hiked & depreciated, we use for purchase price.

A = 17000 1 + 5100 1 − 4100 ⇒ A = 17000 1.05 0.96 ⇒ A = 17136

Thus, the cost of TV set in the year 2001 is Rs. 17,136.
Therefore, option (4) is correct.

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