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The Production of a Mixi Company in 1996 Was 8000 Mixies. Due to Increase in Demand It Increases Its Production by - Mathematics

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Question

The production of a mixi company in 1996 was 8000 mixies. Due to increase in demand it increases its production by 15% in the next two years and after two years its demand decreases by 5%. What will be its production after 3 years?

Sum

Solution

Production after three years = P \[\left( 1 + \frac{R_1}{100} \right)^2 \left( 1 - \frac{R_2}{100} \right)\]
\[ = 8, 000 \left( 1 + \frac{15}{1, 000} \right)^2 \left( 1 - \frac{5}{100} \right)\]
\[ = 8, 000 \left( 1 . 15 \right)^2 \left( 0 . 95 \right)\]
\[ = 10, 051\]
Thus, the production after three years will be 10, 051.

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Chapter 14: Compound Interest - Exercise 14.4 [Page 28]

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RD Sharma Mathematics [English] Class 8
Chapter 14 Compound Interest
Exercise 14.4 | Q 14 | Page 28

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