If x earns 25% more than y. What percent less does y earn than x?
16
10
20
25
Show Answer
Correct Answer is: 20
Explanation:
Let y’s income = Rs 100
x’s income = 100 + 25% of 100 = Rs 125
y’s income is less than that of x by = (125 – 100)/125 x 100 = 100/5 = 20%
X has twice as much money as that of Y and Y has 50% more money than that of Z. If the average money of all of them is Rs. 110, then the money, which X has, is….
Rs. 55
Rs. 60
Rs. 90
Rs. 180
Show Answer
Correct Answer is: Rs. 180
Explanation:
x = 2y ----------(1)
y = 1.5 z -------(2)
x + y + z = 110 x 3 = 330 --------------(3)
Substituting values of x and z from eqns (1) and (2) in eqn (3)
2y + y + 2/3 y = 330
6y + 3y + 2y = 330 x 3
11y = 990 => y = 90 => x = 2y = 2 x 90 = Rs 180
The price of sugar is increased by 20%. As a result, a family has decreased its consumption by 20%. The expenditure of the family on sugar is decreased by….
0%
2.5%
4%
5%
Show Answer
Correct Answer is: 4%
Explanation:
Method I:
a+b+ab/100 = 20 – 20 + 20*(-20)/100 = -4%
Method II:
Initial expenditure = 100 x 100 = 10000
Final Expenditure = 120 x 80 = 9600
Decrease in Expenditure = (10000 – 9600)/10000 x 100 = (400 x 100)/10000 = 4%
The population of a village was 9800. In a year, with the increase in population of males by 8% and that of females by 5%, the population of the village became 10458. What was the number of males in the village before increase?
4200
4410
5600
6048
Show Answer
Correct Answer is: 5600
Explanation:
Let number of males = M and number of females = F
M + F = 9800 ---------------(1)
After increase in population
1.08M + 1.05F = 10458 -----------(2)
Solving equation 1 & 2:
1.08M + 1.05F – 1.05M – 1.05F = 10458 – 10290
0.03M = 168
M = 5600
The price of sugar is increased by 20%. If the expenditure on sugar has to be kept the same as earlier, the ratio between the reduction in consumption and the original consumption is….
1 : 3
1 : 4
1 : 6
1 : 5
Show Answer
Correct Answer is: 1 : 6
Explanation:
a + b + ab/100 = 0 (as the expenditure has to be same)
20 + b + 20b/100 = 0 => 1.2b = -20 => b = -20/1.2 = 50/3
Reduction in quantity of sugar (in percentage) = 50/3%
Original Consumption = 100 units or 100%
Desired Ratio = (50/3)/100 = 1/6 = 1 : 6
The length, breadth and height of a cuboid are in the ratio 1 : 2 : 3. If they are increased by 100%, 200% and 200% respectively, then, compared to the original volume the increase in the volume of the cuboid will be….
5 times
18 times
12 times
17 times
Show Answer
Correct Answer is: 17 times
Explanation:
Initial volume = a x 2a x 3a = 6a3
Increased volume = 2a x 6a x 9a = 108a3
Increase in volume = 108a3 - 6a3 = 102a3
Increased volume as compared to original volume = 108a3/ 6a3 = 17 times
If each side of a rectangle is increased by 50%, its area will be increased by..…
50%
125%
100%
250%
Show Answer
Correct Answer is: 125%
Explanation:
Method I:
Initial area = ab where a = length and b = breadth of rectangle
Increased area = 1.5a x 1.5b = 2.25ab
Increase% = (2.25ab – ab)/ab x 100 = 1.25 x 100 = 125%
Method II:
Increase/decrease in area = a + b + ab/100 = 50 + 50 + 50*50/100 = 125%
If the sides of an equilateral triangle are increased by 20%, 30% and 50% respectively to form a new triangle, the increase in the perimeter of the equilateral triangle is….
25%
33.3%
75%
100%
Show Answer
Correct Answer is: 33.3%
Explanation:
Original Perimeter = 3a
Increased perimeter = 1.2a + 1.3a + 1.5a = 4a
Percentage Increase in perimeter = (4a – 3a)/3a x 100 = 100/3 = 33.3%
The school result is increasing year after year. Forecast the result of 2012 from the following information.
Year 2006 2007 2008 2009 2010 2011 2012
Result 34.25% 36.75% 39.75% 43.25% 47.25% 51.75% ?
51.75%
56.75%
48.00%
57.25%
Show Answer
Correct Answer is: 56.75%
Explanation:
As per the trend every year there is an increase of 0.5% in the previous year’s percentage increase.
So in 2012 the result will be 51.75 + 5.00 = 56.75%
Rama’s expenditures and savings are in the ratio 5 : 3. If her income increases by 12% and expenditure by 15%, then by how much percent do her savings increase?
12
7
8
13
Show Answer
Correct Answer is: 7
Explanation:
Rama’s expenditure = 5x and Savings = 3x, Income = 5x + 3x = 8x
New income = 8x + 12% of 8x = 8x + 0.96x = 8.96x
New expenditure = 5x + 15% of 5x = 5x + 0.75x = 5.75x
New Savings = New Income – New Expenditure = 8.96x – 5.75x = 3.21x
