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Solving Equations Algebraically

A fruit vendo...

Question

A fruit vendor buy some oranges @ rupees 5 per Orange. he also buys an equal number of Bananas at the rate of 2 per banana. he also makes up 20% profit on oranges and a 15 percentage on bananas on us at the end of the day all the fruits is sold out he is total profit is rupees 390 find the number of oranges purchased.

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Solution

let the no. of oranges purchased be x.

cost price of oranges=5x.

he buys equal no. of bananas.

so no. of bananas=x.

cost price of x bananas=2x.

Now, he makes a profit of 20% on oranges.

therefore, selling price of oranges=5x+20%of 5x

=6x

profit on oranges=6x-5x=x

he makes a profit of 15% on bananas

therefore, selling price of bananas=2x+15% of 2x

=23x upon 10

profit on bananas=23x /10-2x=3x /10

Total profit made =x+3x /10=13x /10

According to ques,,, 13x /10=Rs 390

therefore x=300----Answer

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