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The Cost of a T.V. Set Was Quoted Rs 17000 at the Beginning of 1999. - Mathematics

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Question

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?

Sum
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Solution

Cost of the TV = P \[\left( 1 + \frac{R}{100} \right)\left( 1 - \frac{R}{100} \right)\]
\[ \Rightarrow 17, 000\left( 1 + \frac{5}{100} \right)\left( 1 - \frac{4}{100} \right)\]
\[ = 17, 000\left( 1 . 05 \right)\left( 0 . 96 \right)\]
\[ = 17, 136\]
Thus, the cost the TV in 2001 was Rs 17, 136.

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Chapter 14: Compound Interest - Exercise 14.5 [Page 31]

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RD Sharma Mathematics [English] Class 8
Chapter 14 Compound Interest
Exercise 14.5 | Q 7 | Page 31

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