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Here, itâ€™s given that a vessel contains \[100{\rm{ }}litres\] of salt and sugar solution in the ratio of \[22:3\]

So, salt is \[22\] out of \[25\] and sugar is \[3\] out of \[25\].

We have to find the initial amount of salt

To find the initial amount of salt in the given \[100{\rm{ }}litres\] we should multiply it with \[\dfrac{{22}}{{25}}\].

That is initial amount of salt in \[100{\rm{ }}litres = \dfrac{{22}}{{25}} \times 100 = 88{\rm{ }}litres\]

Again we should find the initial amount of sugar

To find the initial amount of sugar in the given \[100{\rm{ }}litres\] we should multiply it with \[\dfrac{3}{{25}}\].

So, initial amount of sugar in \[100{\rm{ }}litres = 100 - 88 = 12\,litres\]

Here we have taken out \[40{\rm{ }}litres\] of mixture from the total mixture and added \[4.8{\rm{ }}litres\] of pure salt and sugar solution to it.

Then we have to find the amount of sugar and salt in the newly formed mixture by adding \[4.8{\rm{ }}litres\] of salt and sugar.

Initially we have found that amount of salt is \[{\rm{88 }}litres\] now we have taken 40 liters from the original mixture therefore the amount of salt present in the \[40{\rm{ }}litres\] taken out is found by multiplying it with \[\dfrac{{22}}{{25}}\].

To find the amount of salt in the newly formed mixture we should subtract the initial amount of salt with salt present in the \[40litres\] and finally add it to \[4.8{\rm{ }}litres\] of salt.

Final amount of salt in solution \[ = 88 - \dfrac{{22}}{{25}} \times 40 + 4.8 = 57.6\,litres\]

Initially we have found that amount of sugar is \[{\rm{88 }}litres\] now we have taken 40 liters from the original mixture therefore the amount of sugar present in the \[40{\rm{ }}litres\] taken out is found by multiplying it with \[\dfrac{3}{{25}}\].

To find the amount of sugar in the newly formed mixture we should subtract the initial amount of sugar with sugar present in the \[40litres\] and finally add it to \[4.8{\rm{ }}litres\] of sugar.

Final amount of sugar in solution \[ = 12 - \dfrac{3}{{25}} \times 40 + 4.8 = 12\;litres\]

We have to find the percentage of sugar solution in final mixture

So, Percentage of sugar solution in final mixture less that quantity of salt solution \[ = \dfrac{{57.6 - 12}}{{57.6}} \times 100 = 79.16\% \]

Hence, Percentage of sugar solution in the final mixture is less than the quantity of salt solution is \[79.16\% \].

Also while finding the amount of sugar and salt present in the small quantity we should add 4.8 to the found value because we are given that 4.8 liters of solution is added to the small quantity.

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