Saturday, 7 March 2015

Types of Questions Asked in Exams on Percentage

TYPE 1.
If there is increase of X% and subsequently X% decrease then there is always loss / decrease in the condition.

Example. If rohan salary is increase by 50% and subsequently decrease by 50%. How much percentage loss?
Ans. By trick ---- 50x50/100= 25% decrease/loss

TYPE 2.
if A is P% more than B. then B is less than by A with P/(100+P)x100

Example: If radha earning is 25% more than sita. Then sita earning is how many percentage less then by radha?

Ans. By trick ---- 25/(100+25)x100=20%

TYPE 3.
If A is P% less than B. then B is more than by A with P/(100-P)x100

Example: If golu age is 20% less than gita than gita age is how many percentage more than golu?
Ans. By trick ---- 20/(100-20)x100=25%

TYPE 4.
If there is p% increase in price . how much % decrease his consumption so that his expenditure on it does not change.
formula P/(100+P)x100

Example. If petrol price increase by 25%. How much percentage a person reduced his consumption so that his expenditure on it does not increase?
Ans. 25/(100+25)x100=20%

TYPE 5.
if there is p% decrease in price . how much % increase his consumption so that his expenditure on it does not change.
formula P/(100-P)x100

Example. If there is 30% decrease in eggs price. How much a person increased his consumption so that his expenditure on it does not increase?
Ans. 30/(100-30)x100=42.85

TYPE 6.

Example. If suman need 36% minimum mark to passed a exam but she score 24% mark and fail by 9 marks. What is the total mark?
Ans. Difference in % = difference in mark

In that 36%-24%=12%
that is 12%=9marks
so, total mark = 9/12x100= 75

Geomatry lines & Angles Notes and Quiz

Dear Readers,

As you know lines and angles is critical in the study of geometry. Whether we know it or not, we see all sorts of angles on an everyday basis. In order to continue our study of geometry, it will be necessary to learn about the different properties of lines, angles, and their measures. The sections below introduce the different classifications of angles (acute, obtuse, right, or straight).

Right angle: An angle of 90° is called a right angle.
Acute angle: An angle of less than 90° is called an acute angle.
Obtuse angle: An angle of greater than 90° is called an obtuse angle.
Reflex angle: An angle of greater than 180° is called reflex angle.
Complementary angles: If the sum of the two angles is 90°, then they are called complementary angles.
Supplementary angles: If the sum of the two angles is 180°, then they are called supplementary angles.

Angle Relations: Vertically opposite angles: If two lines intersect each other, then the vertically opposite angles are equal. ∠a = ∠c and ∠b = ∠d
a, c and b, d are vertically opposite angles.

Angles in parallel lines: If a transversal intersects two parallel lines:

a. each pair of consecutive interior angles are supplementary.
∠4 + ∠5 = 180°
∠3 + ∠6 = 180°
b. each pair of alternate interior angles are equal.
∠5 =∠3, ∠6 = ∠4
∠5 = ∠3 =∠1 =∠7
∠6 = ∠4 = ∠2 = ∠8

Collinear: Three or more than three points are said to be collinear, if there is a line which contains them all.

Concurrent: Three or more than three lines are said to be concurrent, if there is a point which lies on them all.

Proportionality Theorem: