Time And Distance And Intrest



Time and distance

Relationship between speed, distance and time

Speed = Distance / Time or

Distance = Speed × Time

Average Speed = 2xy / x+y

where x km/hr is a speed for certain distance and y km/hr is a speed at for same distance covered.

  • As we know, Speed = Distance/ Time. Now, if in questions Distance is constant then speed will be inversely proportional to time i.e. if speed increases ,time taken will decrease and vice versa.

Example 1 : A man covers a distance of 600m in 2min 30sec. What will be the speed in km/hr?

Speed =Distance / Time

Distance covered = 600m, Time taken = 2min 30sec = 150sec

Therefore, Speed= 600 / 150 = 4 m/sec

4m/sec = (4*18/5) km/hr = 14.4 km/ hr.

 

Example 2: A boy travelling from his home to school at 25 km/hr and came back at 4 km/hr. If whole journey took 5 hours 48 min. Find the distance of home and school.

 In this question, distance for both speed is constant.

Average speed = (2xy/ x+y) km/hr, where x and y are speeds

Average speed = (2×25×4)/ 25+4 =200/29 km/hr

Time = 5hours 48min= 29/5 hours

Now, Distance travelled = Average speed × Time

Distance Travelled = (200/29)×(29/5) = 40 km

Therefore distance of school from home = 40/2 = 20km.

 

Simple and compound  interest

Simple interest is calculated on the principal, or original, amount of a loan.  

Compound interest is calculated on the principal amount and also on the accumulated interest of previous periods, and can thus be regarded as “interest on interest.”    

Simple Interest = Principal x Interest Rate x Term of the loan

        = P x i x n

 

Compound Interest = Total amount of Principal and Interest in future (or Future Value) less the Principal amount at present called Present Value (PV). PV is the current worth of a future sum of money or stream of cash flows given a specified rate of return.   

 =    [P (1 + i)n] – P

  =    P [(1 + i)n – 1]

where P = Principal, i = annual interest rate in percentage terms, and

 n= number of compounding periods for a year.

Compounding Periods

When calculating compound interest, the number of compounding periods makes a significant difference. Generally, the higher the number of compounding periods, the greater the amount of compound interest. So for every $100 of a loan over a certain period, the amount of interest accrued at 10% annually will be lower than interest accrued at 5% semi-annually, which will, in turn, be lower than interest accrued at 2.5% quarterly.    

In the formula for calculating compound interest, the variables “i” and “n” have to be adjusted if the number of compounding periods is more than once a year.  

That is, within the parentheses, “i” or interest rate has to be divided by “n,” the number of compounding periods per year. Outside of the parentheses, “n” has to be multiplied by “t,” the total length of the investment.  

Therefore, for a 10-year loan at 10%, where interest is compounded semi-annually (number of compounding periods = 2), i = 5% (i.e. 10% / 2) and n = 20 (i.e.10 x 2).

 

 

 

 

 

 

 

 

 

 

 

 

 


Our APPSC Notes Courses

PDF Notes for Prelims Exam

Printed Notes for Prelims Exam

Mock Test Series for Prelims Exam

PDF Notes for Mains Exam

Printed Notes for Mains Exam

Mock Test Series for Mains Exam

Daily Mains Answer Writing Program

JKPSC Mains Exam

JKPSC Prelims Exam

Admit Card

Syllabus & Exam Pattern

Previous Year Papers

Eligibility Criteria

Results

Answer Key

Cut Off

Recommended Books

Exam Analysis

Posts under APPSC

Score Card

Apply Online

Selection Process

Exam Dates

Exam Highlights

Notifications

Vacancies

Exam Pattern

Prelims Syllabus

Mains Syllabus

Study Notes

Application Form

Expected Cut-Off

Salary & Benefits

Mock Tests

Preparation Tips

Study Plan

Jammu & Kashmir Administrative Service (JKAS)

Jammu & Kashmir Police Service (JKPS)

Jammu & Kashmir Accounts Service (JKAS - Accounts)

Jammu & Kashmir Civil Service (Judicial)

Medical Officer (Allopathy)

Veterinary Assistant Surgeon

Assistant Engineer (Civil)

Assistant Engineer (Mechanical)

Assistant Engineer (Electrical)

Assistant Conservator of Forest (ACF)

Range Officer (Wildlife)

Range Officer (Territorial)

Range Officer (Soil Conservation)

Assistant Director (Statistics)

Statistical Officer

Assistant Professor (Various Subjects)

Lecturer (School Education)

Assistant Engineer (Accounts)

Executive Engineer (Accounts)

Excise and Taxation Officer

Excise and Taxation Inspector

Excise and Taxation Sub-Inspector

Revenue Service (Executive)

KAS Probationers

Subordinate Accounts Course (SAC-I)

Subordinate Accounts Course (SAC-II)

Accounts Clerk Course (ACC)

IAS Probationers

Labour Inspector/Officer

Junior Statistical Assistant Course

Statistical Assistant Course

error: Content is protected !!