Boats And Streams: Formula and Tricks with Problem (Question) and Solutions

Boats and streams is an application of concept of speed, time and distance. Some terms frequently used in questions based on boats and streams are(i) Still water It implies that the speed of water is zero. (ii) Stream It implies that the water is moving (iii) Downstream motion If the motion of boat or swimmer … Read more

Speed Time And Distance: Formula and Tricks with Problem (Question) and Solutions

Speed The distance travelled or covered by a person or object in unit time, is called its speed.  Distance Covered TimeTaken TimeThe duration in hours, minutes or seconds spent to cover a certain distance is called time. Distance The length of path which covered by a person or object between two places, is known as … Read more

Profit Loss and Discount: Formula and Tricks with Problem (Question) and Solutions

Cost Price The price at which an article is purchased, is called cost price (CP). Overhead Charges When an article is purchased, there are some expenses like labour, maintenance etc, these charges arecalled as overhead charges. These charges are always added in the cost price. Actual cost price = cost price + overhead charges. Selling … Read more

Simple And Compound Interest : : Formula and Tricks with Problem (Question) and Solutions

To fulfill our requirements of certain amount we have to borrow some money from friends or any other organisation. This lent amount is known as principal (P). We use this money for a certain period which is known as time (T). At a time of returning this money we give some extra money against the … Read more

Percentage: Formula and Tricks with Problem (Question) and Solutions

The meaning of per cent is “per hundred” or “hundredth value”. Per cent is a fraction where denominator is 100 . Percent is denoted by sign ” % “. Important points related to percentage are 1. To convert a fraction or decimal fraction into percentage multiply the fraction by 100. Ex: 0.035%=0.035×100%=3.5% 2. To convert … Read more

Ratio and Proportion: Formula and Tricks with Problem (Question) and Solutions

Ratio The comparative relation between two quantities of same type is called ratio.The ratio between a and b is denoted by a:b. Here, a is called antecedent and b is called consequent. Type of Ratio  Ex: If a:b=7:9 and b:c = 15:7, then a:c= (a) 5:3 (b) 7:21 (c) 3:5 (d) 7:15 Proportion If a,b,c … Read more

Simple and Compound Partnership: Formula and Tricks with Problem (Question) and Solutions

An association of two or more persons, who put their money together in order to carry on a certain business is known as partnership. After a certain time they distribute the profit or loss of the business in the ratio of their investments. The persons who put their money in a business under thePartnership are … Read more

Average and Age: Properties of Average, Formula and Tricks with Problem (Question) and Solutions

Average The average of given quantities is defined as the sum of quantities divided by number of quantities. It is denoted by A or x . Ex. Find the average of following numbers.                232,149 208,301,399,415 A. 296 B. 284 C. 272 D. 260 Properties of Average 1. If … Read more

Simplification & Approximation: VBODMAS’ Rule, Important Formula and Tricks with Problem (Question) and Solutions

Simplification is a process of reducing a complex expression into a simpler form. VBODMAS’ Rule If there are more than one operation in an expression simultaneously, we have to follow a rule to solve them in a proper sequence. This rule is known as VBODMAS’ rule. This is as follows:- Top to Bottom V – Vinculum or … Read more

Square Root & Cube Root: Prime Factorisation Method, Division Method, Formula and Tricks with Problem (Question) and Solutions

Square The resultant number of a product of a number with itself, is known as square of given number. Square Root The square root of given number is that number whose square is equal to the given number. To represent a square root of a number we use a notation with number.   Perfect Square If square … Read more

HCF and LCM: Prime Factorisation Method, Division Method, Formula and Tricks with Problem (Question) and Solutions

Factor and Multiple If a divides b, then a is known as factor of b and b is known as multiple of a.e.g if 12 divides 48, then 12 is a factor of 48 and 48 is a multiple of 12. Highest Common Factor (HCF) The greatest number which divides all given two or more … Read more

Proper, Improper, Mixed, Complex, Continued, Decimal Fraction: Formula and Tricks with Examples

A fraction is known as a rational number and written in the form of p/q where p and q are integers and q ≠ 0. The lower number ‘q’ is known as denominator and the upper number ‘p’ is known as numerator. Type of Fractions Proper Fraction: The fraction in which numerator is less the … Read more

Numbers System: Formula and Tricks with Problem (Question) and Solutions

A number system relates quantities and symbols. The base or radix of a number system represents the number of digits or basic symbols in that particular number system.   Decimal is a base (or radix) 10 numeral system. This means that the system has ten symbols or numerals to represent any quantity. These symbols are … Read more