Question

A shopkeeper buys certain quantity of tomatoes for Rs. 60 and the number of kilos that he buys is 5 more than the number of paise that each kilo costs him.Find the price per kg

Answer 1

Hope u like my process
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=> Let the cost if 1 kilo tomatoes be Rs x

=> Total kilos he bought = (100x +5)

=> Total costs =x(100x+5) paise

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So,.
$= > x(100x + 5) = 60 \\ \\ = > 100 {x}^{2} + 5x - 60 = 0 \\ \\ = > 20 {x}^{2} + x - 12= 0 \\ \\ = > 20 {x}^{2} + 16x - 15x - 12 = 0 \\ \\ = > 4x(5x + 4) - 3(5x + 4) = 0 \\ \\ = > (4x - 3)(5x + 4) = 0 \\ \\ \bf \underline{since \: \: costs \: \: cant \: \: be \: \: negative} \\ \\ = > 4x - 3 = 0 \\ \\ = > \bf x = \frac{3}{4} = 0.75$


So..

Cost of 1 kilo of tomatoes =Rs 0.75
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