Simple Interest – साधारण ब्याज , Rate% – (दर), Time – समय, Compound Interest – चक्रवृद्धि ब्याज, Amount – मिश्रधन, Principle – मूलधन

**Some Simple interest (साधारण ब्याज**) **Formulas**Simple Interest = Principle x Rate x Time

**(SI = PxR/100xT)**

Time = Simple Interest/ Principal x Rate

Rate = Simple Interest/ Principal x Time

If SI and Time Is Constant then P x R = Constant

**Example** – A sum of money Rs 1750 is divided into two parts such that the simple interest 8% p.a on the first part and 6% p.a on the second part is equal after two years, then find the ratio of principle?

SI and Time are constant in both years so P x R = Constnat, P1 x R = P2 x R , P1 x 8 = P2 x 6

Ratio of Principle = P1 : P2 = 3:4 answer

Compound Interest Rate Chart

**Rate In % Ist Yr IInd Yr IIIrd Yr IVth Yr Vth Yr**

2% 2 4.04 6.12 8.24 10.40

3% 3 6.09 9.27 12.54 15.91

4% 4 8.16 12.48 16.98 21.66

5% 5 10.25 15.7625 21.55 27.62

6% 6 12.36 19.10 26.24 33.82

7% 7 14.49 22.50 31.07 40.24

8% 8 16.64 25.97 36.04 46.93

9% 9 18.81 29.50 41.15 53.85

10% 10 21 33.10 46.41 61.05

12% 12 25.44 40.49 57.35 76.23

15% 15 32.25 52.05 74.90 101.13

20% 20 44 72.80 107.36 148.832

**Compound Interest Formulas Maths**

Amount = Principle {1 +r/100}^{n}

**Compound Interest (CI**)= Amount (A) – Principle (P)

**3 Stages of compound interest calculation**

Half yearly (छमाही) – r%/2 t x 2 yr

Quarterly (तिमाही) – r%/4 t x 4 yr

Monthly (मासिक) – r%/12 t x 12 yr

**Difference Between Simple Interest and Compound Interest**

**1st Year** **–** 1st Year Interest is same in Both simple interest and Compound Interest.

**2 Years – **1st year interest + IInd year interest both SI and CI + IInd year CI on Ist Year CI

Example – P- 1000, R- 10%, Year -2 Find the difference between CI and SI?

Sol – Ist year SI is 10% of 1000 = 100 and IInd Year SI is also 100, Total =200 but In Compound Interest Ist Year CI is 100 and IInd yr CI Also 100 Total 200 but here one more CI on 1st Year CI means 10% of 100 = 10, Total 2 Year CI = 210

Difference Between CI and SI is 210 – 200 = 10 answer.

**3 Years –** Ist Year CI + IInd Yr CI + IIIrd Yr CI in simple Interest same as Compound Interest Ist + IInd + IIIrd yr but here we add IInd yr CI on Ist yr CI + IIIrd yr CI on 2nd Year CI

** CI**

Ist yr – A

2nd yr – A + B

3rd yr – A + B + B+ C

#### Simple Interest And Compound Interest Questions – For SSC, Bank Exams Download Pdf 100 Questions Link Given Below

##### Problems on Simple Interest

- A certain sum of money amounts to Rs. 1680 in 3 years and to 1800 in 5 years. Find the sum and the rate of interest.

(1)**Rs. 1500; 4%**(2) Rs.1200; 4% (3) Rs. 1600; 5% (4) Rs. 1800; 5%

- A man promises to his wife a birthday present, given her each year a number of rupees equal to the number of years in her age. If her birthday falls on August 8, what sum must be placed at simple interest at 7% on January 1 before she is 63 (non-leap year) in order to raise the required sum?

(1) Rs. 1600 (2) Rs. 1550 (3)**Rs.1500**(4) Rs. 1450

- Ram lent Rs. 1200 to Shyam for 5 years and Rs. 1500 to Mohan for 2 years received altogether Rs. 900 as interest. Find the rate per annum.

(1) 8.5% (2) 8% (3) 9% (4)**10%**

- A person on retirement gets Rs. 3,20,000 from his gratuity and P.F. He wants to invest this amount in Post Office and Bank in such a way that he earns a total interest of Rs. 27,600 every year. If the annual rate of interest in Post Office and Bank be respectively 9% and 8%, What are the amounts invested in Post Office and Bank respectively?

(1)**Rs. 200000, Rs. 120000**(2) Rs. 180000 and Rs. 140000 (3) Rs. 185000, Rs. 135000 (4) None of these

- Find the interest on Rs. 1460 at 10% from 5th February 1992 to 25th April 1992.

(1)**Rs. 32**(2) Rs. 36 (3) Rs. 40 (4) Rs. 34

- Find the annual installment that will discharge a debt of Rs. 12900 due in 4 years at 5% per annum simple interest.

(1)**Rs. 2750**(2) Rs. 2150 (3) Rs. 2500 (4) Rs. 3000

- A person takes a loan of 4,000 on the condition that he would pay it in the monthly installment of 500. He has to pay interest @ 6% on the outstanding balances, then finds out the average rate of interest received by the creditor.

(1)**27/8 % Percent Per annum**(2) 19/8 % Percent Per annum (3) 37/8 % Percent Per annum (4) 25/8 % Percent Per annum

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- The principle which gives Rs. 1 interest per day at a rate of 5% simple interest per annum is

(1) Rs. 5000 (2)**Rs. 7300**(3) Rs. 36500 (4) Rs. 3650

- A certain sum of money amounts to Rs. 2200 at 5% p.a. rate of interest, Rs. 2320 at 8% interest in the same period of time. The period of time is :

(1) 3 years (2) 4 years (3) 5 years (4)**2 years**

- The rate of simple interest per annum at which a sum of money doubles itself in 50/3 years is

(1) 4% (2) 5% (3)**6%**(4) 20/3%

- A and B borrowed Rs. 3000 and Rs. 3200 respectively at the same rate of interest for 5/2 years. If B paid Rs. 40 more interest than A, find the rate of interest.

(1) 5% (2) 7% (3)**8%**(4) 6%

- If Rs. 12,000 is divided into two parts such that the simple interest on the first part for 3 years at 12% per annum is equal to the simple interest on the second part for 9/2 years at 16% per annum, the greater part is

(1)**Rs. 8,000**(2) Rs. 6,000 (3) Rs. 7,000 (4) Rs. 7,500

- A man buys a TV priced at Rs. 16000. He pays Rs. 4000 at once and the rest after 15 months on which he is charged simple interest at the rate of 12% per year. The total amount he pays for the TV is

(1) Rs. 18,200 (2)**Rs. 17,800**(3) Rs. 16,800 (4) Rs. 17,200

#### Problems On Compound Interest

- Find the ratio of simple interest to compound interest for 2 years at 4% per annum, compounded yearly in case of compound interest.

(1) 50 : 53 (2)**50 : 51**(3) 49 : 50 (4) 48 : 53

- The simple interest on a certain sum for 2 years is Rs. 50 and the compound interest is Rs. 55. Find the rate of interest per annum and the sum.

(1) 16% P.a. ; Rs. 200 (2) 15% P.a. ; Rs. 150 (3)**20% P.a. ; Rs. 125**(4) 18% P.a. ; Rs. 175

- If the difference between CI and SI on a certain sum at r% per annum for 2 years is Rs. x, find the expression for the principal sum. If the difference between CI and SI on a certain sum at 4% per annum for 2 years is Rs. 25, find

the sum.

(1) Rs. 18625 (2) Rs. 16625 (3) Rs. 14625 (4)**Rs. 15625**

- The compound interest on a sum of money at 5% per annum for 3 years is Rs. 2522. What would be the simple interest on this sum at the same rate and for the same period?

(1) Rs. 2500 (2)**Rs. 2400**(3) Rs. 2450 (4) Rs. 2350

- . A sum of money was lent at 10% per annum, compounded annually, for 2 years. If the interest was compounded half-yearly, he would have received 220.25 more. Find the sum.

(1)**Rs. 40000**(2) Rs. 45000 (3) Rs. 48000 (4) Rs. 5000

- Two years ago, the value of my motorbike was Rs. 62500. If the value depreciates by 4% every year, now its value is

(1) Rs. 56700 (2)**Rs. 57600**(3) Rs. 57500 (4) Rs. 55700

- The compound interest on a sum of Rs. 5000 at 8% per annum for 9 months when interest is compound quarterly is :

(1) Rs. 300 (2) Rs. 300.12 (3)**Rs. 306.04**(4) Rs. 308

- A principal of Rs. 10,000, after 2 years compounded annually, the rate of interest being 10% per annum during the first year and 12% per annum during the second year (in rupees) will amount

to :

(1) Rs. 12,000 (2)**Rs. 12,320**(3) Rs. 12,500 (4) Rs. 11,32

- A man invested a sum of money at compound interest. It amounted to Rs. 2420 in 2 years and to Rs. 2662 in 3 years. Find the sum.

(1) Rs. 1000 (2)**Rs. 2000**(3) Rs. 5082 (4) Rs. 3000

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- The compound interest on a certain sum of money at a certain rate for 2 years is 40.80 and the simple interest on the same sum is 40 at the same rate and for the same time. The rate of interest is

(1) 2% per annum (2) 3% per annum (3)**4% per annum**(4) 5% per annum

- The least number of years in which a sum of money on 19% p.a. compound interest will be more than double is

(1) 3 years (2)**4 years**(3) 5 years (4) 2 years

- There is a 40% increase in an amount in 8 years at simple interest. What will be the compound interest (in rupees) of Rs 30000 after 2 years at the same rate?

(1) Rs 6150 (2) Rs 7687.5 (3) Rs 4612.5 (4)**Rs 3075**

- A sum of Rs 6,000 is deposited for 3 years at 5% per annum compound interest (compounded annually). The difference in interests for 3 and 2 years will be

(1) Rs 75.00 (2) Rs 30.75 (3)**Rs 330.75**(4) Rs 375.00

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- On a certain sum of money lent out at 16% p.a. the difference between the compound interest for 1 year, payable half-yearly, and the simple interest for 1 year is Rs 56. The sum is

(1) Rs 1080 (2) Rs 7805 (3)**Rs 8750**(4) Rs 5780

- An amount of money at compound interest grows up to 3,840 in 4 years and up to Rs 3,936 in 5 years. Find the rate of interest.

(1)**2.5**% (2) 2% (3) 3.5% (4) 2.05%

- B borrows Rs 5,000 from A at 6% p.a. simple interest and lends it to C at compound interest of 10% p.a. If B collects the money back from C after 2 years and repays A, the profit made by B in the transaction is

(1) Rs 1,050 (2) Rs 500 (3)**Rs 450**(4) Rs 600

- A sum of money becomes eight times in 3 years if the rate is compounded annually. In how much time will the same amount at the same compound rate become sixteen times?

(1) 6 years (2)**4 years**(3) 8 years (4) 5 years