Percentage - 03

Explanation:-

$$\eqalign{ & {\text{Quantity of salt in 6L of sea water,}} \cr & = \frac{{\left( {6 \times 4} \right)}}{{100}} = 0.24 \cr & {\text{Percentage of salt in 5L of sea water,}} \cr & = \frac{{\left( {0.24 \times 100} \right)}}{5} = 4\frac{4}{5}\% \cr}$$

Explanation:-

No. of population who are literate = 50% 296000 = 148000
No. of male = 166000
No. of female = 296000 - 166000 = 130000
No. of literate male = 70% of 166000 = 116200
No. of literate women = 148000 - 116200
= 31800.

Explanation:-

They covered the distance in this way together in different hours.
6+6.5+7+7.5+8+8.5+9+9.5+10 = 72 Means,they'll meet at the 9^th hr.
So,In that time A will cover = 4*9 = 36km.
They will meet in Midway.

Explanation:-

$$\eqalign{ & {\text{Let the basic salaries of A and B be x and y respectively}}. \cr & {\text{Now}}, \cr & x + 65\% \,of\,x = y + 80\% \,{\text{of}}\,y \cr & x + \frac{{\left( {65x} \right)}}{{100}} = y + \frac{{\left( {80y} \right)}}{{100}} \cr & \frac{x}{y} = \frac{{180}}{{165}} = 12:11 \cr}$$

Explanation:-

Let his original salary be Rs. 100.
Salary after increment = Rs. 120
Let the tax on original salary be 20% and now tax on increased salary (Rs. 20) will be 22% i.e. Rs. 4.40.
Thus, increase in tax liability = (6.60 /20)/100 = 22%

Explanation:-

$$\eqalign{ & \frac{{\left( {ax} \right)}}{{100}} = \frac{{\left( {by} \right)}}{{100}} \cr & or,\,ax = by \cr & \Rightarrow y = \frac{{\left( {ax} \right)}}{b} \cr & c\% \,{\text{of}}\,y = \frac{{\left( {cy} \right)}}{{100}} \cr & or,\,\frac{{\left( {cy} \right)}}{{100}} = \frac{{\left( {cax} \right)}}{{100b}} \cr & {\text{Thus}}, \cr & c\% \,{\text{of}}\,y = \frac{{ca}}{b}\% \,{\text{of}}\,x \cr}$$

Explanation:-

Quantity of water in 250 kg dry grapes,
= (10 /100) *250 = 25 kg
Then, pulp of grapes = 225 kg
We get 20 kg pulp in 100 kg fresh grapes.
To get 225 kg pulp , we need fresh grapes,
= (100 *225)/20 = 1125 kg.

Explanation:-

$$\eqalign{ & {\text{Total number all three got together is}}, \cr & = \left( {1136 + 7636 + 11628} \right) \cr & = 20400 \cr & \% {\text{ of vote the winning candidate got is}}, \cr & = \left( {\frac{{11628}}{{20400}}} \right) \times 100 \cr & = 57\% \cr}$$

Explanation:-

Let the number of candidates appearing from each state be X.
Then,
7% of X - 6% of X = 80
Or, 1% of X = 80
Or, X = 80 * 100
X = 8000.

Explanation:-

$$\eqalign{ & {\text{Let the total number of applicants be x}}. \cr & {\text{Number of eligible candidates}} \cr & = {\text{ }}95\% {\text{ }}of{\text{ }}x \cr & {\text{Eligible candidates of other categories}}, \cr & = 15\% \,of\,\left( {95\% {\text{ }}of{\text{ }}x} \right) \cr & = \left( {\frac{{15}}{{100}}} \right) \times \left( {\frac{{95}}{{100}}} \right) \times x \cr & = \frac{{57}}{{400}}x \cr & or,\left( {\frac{{57}}{{400}}} \right)x \cr & x = \frac{{\left( {4275 \times 400} \right)}}{{57}} \cr & \,\,\,\,\,\, = 30000 \cr}$$