Percentage - 02

Explanation:-

$$\eqalign{ & 1\% \,{\text{of}}\,1\% \,{\text{of}}\,25\% \,1000 \cr & = 1\% \,{\text{of}}\,1\% \,{\text{of}}\,\left[ {\frac{{\left( {25 \times 1000} \right)}}{{100}}} \right] \cr & = 1\% \,{\text{of}}\,1\% \,{\text{of}}\,250 \cr & = 1\% \,{\text{of}}\,\left[ {\frac{{\left( {1 \times 200} \right)}}{{100}}} \right] \cr & = 1\% \,{\text{of}}\,2.5 \cr & = \frac{{2.5}}{{100}} \cr & = 0.025 \cr}$$

Explanation:-

36% marks = 113 + 85.
=> 36% marks = 198.
So,
=> 1% marks = 198/36 = 5.5.
=> 100% marks = 5.5 *100 = 550.

Explanation:-

$$\eqalign{ & {\text{Let third number is x}}. \cr & {\text{Then}}\,{\text{first}}\,{\text{no}}{\text{.}} \cr & 20\% \,{\text{of}}\,x = \frac{{20x}}{{100}} \cr & {\text{Second}}\,{\text{number}} \cr & = 50\% \,{\text{of}}\,x = \frac{{50x}}{{100}} \cr & {\text{Percent of first no of second no,}} \cr & = \left[ {\frac{{\left( {\frac{{20x}}{{100}}} \right)}}{{\left( {\frac{{50x}}{{100}}} \right)}}} \right] \times 100 \cr & = \frac{{\left( {2 \times 100} \right)}}{{20}} \cr & = 40\% \cr}$$

Explanation:-

Money spent originally = Rs. 140.
Less Money to be spent now,
= 10% of 140
= Rs. 14
Rs. 14 now yield 500gm sugar.
So, Present rate of sugar = Rs. 28 per kg.
If the present value is Rs. 90, the original value
= Rs. 100.
If the present value is Rs. 28 the original value,
= Rs. (1 0 0/9 0)*2 8 = Rs. 31.11.

Explanation:-

No. of boys = 75%.
No. Girls = 25% = 420.
Now comparing,
25% = 420
1% = 420/25
So, 75% = (420*75)/25 = 1260.
No. of boys = 1260.

Explanation:-

100/3 % of 600 = (100*600)/(3*100) = 200.

Explanation:-

50 = x% of 24*60
x = 3.472%
x = 3.5% approx.

Explanation:-

Minimum pass percentage for Boys = 60%
A boy gets 767 and failed by 313, it means
767 + 313 = 60%
1080 = 60%
60% = 1080
Or, 1% = 1080/60
Or, 45% = (1080*45)/60 = 810.
So minimum passing marks for girls = 810.

Explanation:-

Total Passengers = 600
No. of females = (600*34)/100 = 204.
No. of male passengers = 600-204 = 396.
Fare of each male = Rs. 20
Fare of female, 15% less, so,
= (20*75)/100 = Rs. 15 each.
Total revenue generated by male = 396*20 = Rs. 7920
Total revenue generated by female = 204*15 = 3060
Total Revenue = 7920+3060 = Rs. 10980.

Explanation:-

Yearly subscription rate = Rs. 1785.
Charge for 12 month as rate Rs. 175 per month,
= 12*175 = Rs. 2100.
Discount = 2100-1785 = Rs 315
% discount = (315*100)/2100 = 15%.