Total no. of votes = 100%

Votes not cast = 10%

Invalid votes = 20%

Valid votes = 90/100 × 80 = 72%

Votes received by winner = 72 × 75/100 = 54%

Votes received by Loser = 72 – 54 = 18%

So, difference = 36% votes = 10800

100% = 10800/36 × 100 = 30,000 votes.

According to question,

(XY /100) + (YX /100)

= 2XY /100

= 2% of XY.

Let Rs. 100 be spend on rice initially for 20 kg.

As the price falls by 20%, new price for 20 kg rice, = (100 -20% of 100) = 80

New price of rice = 80/20 = Rs. 4 per kg.

Rice can bought now at = 100/4 = 25 kg.

Let the number be x. Then, x-(2/5)x = 510

=> 3x/5 =510

=>x =[510 * ( 5/3)] =850

10 % 0f 850 = 85.

Let the total number of voters be x

Let the present population of the town be P.

Using compound interest formula
Then, P = x(1+(R/100)); ——(i)
And y = P(1+(R/100)) = P*P/x; ——-(ii)
P² = xy;
Hence, P = √xy.

From the given statement pass percentage is 42% – 12% = 30%

By hypothesis, 30% of x – 20% of x = 10 (marks)

i.e., 10% of x = 10

Therefore, x = 100 marks.

Let the length of the rectangle = l
Let the breadth of the rectangle = b
Then the area of the rectangle(A) = length x Breadth
= l*b
According to the question,
Length = l + 100/100*l
= l+l
= 2l
Breadth = b + 100/100*b
= b+b
= 2b
New Area(A’) = length x breadth
= 2l x 2b
= 4lb
= 4A
Increase in area = 4A-A
= 3A
Increase percentage = Increase in amount/Original Amount*100 %
= 3A/A*100 %
= 300%

Therefore area is increased by 300%

Let the number be x and (2490 – x).

x = 80 % of y

=> x =(80/100 )y

=> y/x = 5/4

Required percentage =  [(y/2x)*100] %

= (5/8*100) %

= 62.5%

Let the initial expenditure on the commodity be Rs. 100.

Now, the price decreases by 20%,

Current Price = (100 – 20% of 100) = Rs. 80

Same time due to decrement in price 20% consumption has been increased.

So, Current expenses on commodity = (80 + 20% of 80)= Rs. 96.

Here, the initial expenditure was Rs. 100 which became 96 at the end, it means there is 4% decrement in the expenditure of the commodity.

Other Method:

100===20%↓(Decrement in Price)===>80===20%↑(Increment in Consumption)===>96.
Thus, there is a decrement of 4%.

Let the number of apples be 100.

On the first day he sells 60% apples ie.,60 apples. Remaining apples =40.

He throws 15% of the remaining i.e., 15% of 40 = 6.Now he has 40 – 6 = 34 apples

The next day he throws 50% of the remaining 34 apples i.e., 17.

Therefore, in all, he throws 6 + 17 =23 apples.

Let the total number of valid votes be ‘x’

70% of x = 70/100 *x = 7x/10

Number of votes secured by the other candidate = x-7x/10 = 3x/10

Given, 7x/10-3x/10 = 172

4x/10 = 172

4x = 1720

x = 1720/4 = 430

(60/100) * 50 – (40/100) * 30
30 – 12 = 18

Clearly, the numbers which have 1 or 9 in the unit’s digit, have squares that end in the digit 1.

Such numbers from 1 to 70 are 1, 9, 11, 19, 21, 29, 31, 39, 41, 49, 51, 59, 61, 69.

Number of such number =14

Required percentage = (14/70 x 100)% = 20%.

Excess of B’s height over A’s = [(40/(100 – 40)] x 100% =  66.66%