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Types of Linear Programing Problems

The cost of a...

Question

The cost of a pencil is $25 %$ more than the cost of an eraser. If the cost of $8$ pencil and $10$ eraser is $R s 12.80$ . Find the cost of each.

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Solution

$T h e cos t o f e r a s e r i s x$
$cos t o f a p e n c i l i s 25 %$
$m o r e t h a n i t$
$s o cos t o f a p e n c i l i s$
$x + x \times 25 / 100 = 5 x / 4$
$n o w,$
$cos t o f 8 p e n c i l s a r e 8 \times 5 x / 4 = 10 x$
$a n d cos t o f 10 e r a s e r s a r e 10 \times x = 10 x$
$10 x + 10 x = 12.80$
$o r x = 0.64$
$a n d 5 x / 4 = 0.8$
$s o cos t o f e r a s e r s R s . 0.64$
$cos t o f p e n c i l s R s . 0.80$

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