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Tom purchases 7 keyboards and 8 mice for Rs. 7000. Jerry buys 8 keyboards and 6 mice for Rs. 6900. How much it will cost Oggy, if he wants to buy 6 keyboards and 5 mice?

Tom purchases 7 keyboards and 8 mice for Rs. 7000. Jerry buys 8 keyboards and 6 mice for Rs. 6900. How much it will cost Oggy, if he wants to buy 6 keyboards and 5 mice? Correct Answer Rs. 5350

Given:

Tom purchases 7 keyboards and 8 mice for Rs. 7000

Jerry buys 8 keyboards and 6 mice for Rs. 6900

Calculation: 

Let the price of a Keyboard be "K" and the price of a mouse be "M".

For Tom, 

7K + 8M = 7000      ---- (I)

And for Jerry,

8K + 6M = 6900      ---- (ii)

Multiplying eq (i) by 3 and multiplying eq (ii) by 4, we get

21K + 24M = 21000      ---- (iii)

32K + 24M = 27600      ---- (iv)

Now subtracting eq (iii) from eq (iv), we get

⇒ 11K = 6600

⇒ K = 600 

Now putting this value of K in eq (i) we get, 

⇒ 7 × 600 + 8M = 7000 

⇒ 8M = 7000 - 4200

⇒ M = 2800/8

⇒ M = 350

The value for Oggy for 6 keyboards and 5 mice = 6K + 5M

⇒ 6 × 600 + 5 × 350

⇒ 3600 + 1750

⇒ 5350

∴ The required value is Rs. 5350.

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