Question

a mixture of petrol and Kerosene petrol is only 99 litres. if this same quantity of petrol would be presented in another mixture of petrol and Kerosene where total volume would be 198 litres less than the actual mixture then the concentration of petrol in the actual mixture would have been 13.33 % point less than that of the new mixture. What is the concentration of petrol in actual mixture?

Answer 1

hey friend here is your answer

Petrol --------------Kerosene --------------Total Mixture

99---------------------x-------------------99+x

99--------------------x--------------------(x-99)

Again 99/((x-99) )×100- 99/((x+99) )×100=13.33

Or 9900((x+99-x+99)/(x^2-〖99〗^2 ))=13.33

Or 9900/(x^2-〖99〗^2 )=40/3

⟹x^2-〖99〗^2=〖99〗^2×15

⟹x^2=(99)^2×15

⟹x^2=(99)^2×(16)

⟹x=99×4=396litres

Therefore the actual concentration of petrol

=99/((99+396) )=20

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