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There are two book shops owned by Suresh and Ganesh. Their sales (in Rupees) for books in three subject – Physics, Chemistry and Mathematics for two months, July and August 2017 are given by two mat

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Question

There are two book shops owned by Suresh and Ganesh. Their sales (in Rupees) for books in three subject – Physics, Chemistry and Mathematics for two months, July and August 2017 are given by two matrices A and B.

July sales (in Rupees), Physics Chemistry Mathematics.

A = `[(5600, 6750, 8500),(6650, 7055, 8905)]"First Row Suresh"/"Second Row Ganesh"`

August sales(in Rupees), Physics Chemistry Mathematics

B = `[(6650, 7055, 8905),(7000, 7500, 10200)]"First Row Suresh"/"Second Row Ganesh"` then,

Find the increase in sales in Rupees from July to August 2017.

Sum
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Solution

Increase in sales in rupees from July to August 2017

For Suresh:

Increase in sales for Physics books

= 6650 – 5600 = ₹ 1050

Increase in sales for Chemistry books

= 7055 – 6750 = ₹ 305

Increase in sales for Mathematics books

= 8905 – 8500 = ₹ 405

For Ganesh:

Increase in sales for Physics books

= 7000 – 6650 = ₹ 350

Increase in sales for Chemistry books

= 7500 – 7055 = ₹ 445

Increase in sales for Mathematics books

= 10200 – 8905 = ₹ 1295

Hence, total increase in sales for suresh book shop is ₹ 1760 and for Ganesh book shop is ₹ 2090.

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Chapter 4: Determinants and Matrices - Exercise 4.5 [Page 87]

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