This topic plays an important role in getting higher marks in SSC exams effortlessly as you have to only apply the formula and do simple calculations. There are almost 1-2 questions, which are generally framed in the question paper and the difficulty level depends upon the exams including CGL, CHSL or other SSC exams. Regular practice of different type of questions using shortcut tricks will also help you to save time during examination. In the following text, we will discuss all minors & major tricks for this aptitude topic. Let us first take a snap on some related terms-

**Interest**

When a person takes loan from any other person or a bank, then first person pay some money for the use of money lent. In this scenario, the money paid by the borrower to the lender for the use of loan is called **Interest.** e.g. if A takes Rs. 100 from B and after sometime he returns Rs. 110, then interest paid by A is (110-100)= Rs. 10.

**Principal**

It is the money borrowed or lent out for a certain time.

**Amount**

The sum of principal and interest earned is called Amount.

**Rate of Interest **

Money paid per Rs. 100 per year as interest is called the rate of interest.

**SSC Quantitative Aptitude tricks: Algebraic formulae & their applications**

**Time**

The amount of time for which the money is borrowed or lent is called Time. When Interest is calculated every six months then is called half-yearly interest and when interest is calculated for every 3 months then is called quarterly interest.

**Simple Interest **

It is calculated using the formula;

**Total Amount= Principal amount + Simple Interest**

Where, P= Principal amount;

R= rate of interest;

T= time duration;

**Compound Interest**

It is also known as interest on interest means the simple interest which is calculated for the principal of first year, is added to the principal. The result of this addition becomes the principal amount for the next year. It is calculated using the following formula-

Where, P= principal amount;

r= Interest rate;

n= no. of years;

**Compound Interest= Amount - Principal Amount**

Other related formulas regarding compound interest are as follows-

- If Interest is compounded half-yearly, then

- If Interest is compounded quarterly, then

- If the interest is compounded annually, but the time is in fraction like time= t(a/b)~(tb+a)/b years; then

- If the rates of interest are r
_{1}%, r_{2}% and r_{3}% for the 1^{st}, 2^{nd}and 3^{rd}year respectively, then

Apart from the above description, following types of questions are asked in the SSC exams-

- Calculating the difference between SI and CI
- Questions based on annual/ monthly installment
- Calculating of time period and rate of interest
- Basic questions based on SI and CI calculation

**Sample Questions****1. ****A sum of money becomes three times in 5 years at certain rate of interest. Find the time in which the same amount will be nine times at the same interest rate?**

**Ans.:- **Suppose the principal amount =P and Interest rate=R;

if an amount of money become 3 times in 5 years; then interest earned will be 2P. hence-

Suppose after time T, the amount will become the 9 times of the P. Hence, the interest earned will be 8P.

After 20 years, the final amount will become 9 times of principal amount.

**2. ****A sum of Rs. 10,000 is lent out in two parts in such a way that the interest on one part at 15% for 5 years is equal to that on another part at 10% for 5 years. What is the one part of the given sum?**

**Ans.:-** Suppose the one part of the amount=**x**;

Then the remaining part of the amount=** 10000-x**;

As the question states-

The fraction of amount will be Rs. 4000 and Rs. 6000.

**3. ****If a certain amount, at compound interest becomes double in 5 years; then in how many years, it will be 16 times at the same interest rate?**

**Ans.:- ** Suppose, the principal amount=P; Interest rate=R ;

Using the formula,;

Let after n years; the amount will become 16 times;

Hence, After 20 years it will become 16 times of the principal amount.

**4. ****The compound interest on Rs. 30000 at 7% per annum for a certain time is Rs. 4347. The time is?**

**Ans.:-**

Amount= Compound Interest + Principal Amount;

Amount (A)= Rs. 34347

Using the formula,;

34347=30000(1+ 7/100)^{n};

Comparing the index; n=2 years.

After 2 years, Rs. 3447 will be credited as compound interest.

The questions discussed above are a few samples of the questions asked in the exams. Any problem framed out of this topic can be fully solved by using the above formulas. So, practice as much as possible to gain sufficient marks. For more study material and tricks, keep on visiting us regularly.

**All the Best!**

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