Sadharan Byaj Short Trick pdf साधारण ब्याज शार्ट ट्रिक pdf

INTRODUCTION:-

Term	Explanation
Principal (मूलधन):-	The wealth which is given to any one as loan is called Principal.
Time (समय):-	The days for which a loan is given is called Time.
Rate (दर):-	The calculation on which interest is charged is called Rate.
Interest (ब्याज):-	When a person takes loan by another person or by bank, then to use that money the extra money is charged, that money is called Interest.
Simple Interest (साधारण ब्याज):-	The interest which is charged on principal for fixed time is called Simple interest.
Amount (मिस्र्धन):-	The sum of money after charging the interest is called Amount.

Symbolic terms:-
P = principal(मूलधन) t = time(समय) I = simple interest (ब्याज) r = rate (दर) A = amount(मिस्र्धन)

Type and Simple Interest Short trick 1:-
	If simple interest of any wealth is a/b part of wealth and the number of yearly interest is equal to the rate, then yearly rate or number of year - = Ö(a/b) x 10

Example:- If simple interest of any wealth is 4/25 part of wealth and the number of yearly interest is equal to the rate, then what will be yearly rate?

Important questions (asked in previous year Exam)
Q1	The simple interest on a certain sum of money for 2 1/2 years at 12% per annum is Rs. 40 less than the simple interest on the same sum for 3 1/2 years at 10% per annum. Find the sum.सामान्यब्याजकिसीमूलधनपर 2 1/2 सालकेलिए 12% वार्षिकदरपर ; किसीदूसरेसिम्पलइंटरेस्टसे 40 कमहैजो 3 1/2 सालपर 10% वार्षिकदरपरहो।मूलधनज्ञातकरो।
Sol	Let the sum be Rs. x. Then, (x 10 x ) 100x2- (x 12 x 5/100 x 2) = 40 7 x /20 - 3x/10 = 40 x = (40 x 20) = 800. Hence, the sum is Rs. 800
Q2	A sum was put at simple interest at a certain rate for 3 years. Had it been put at 2% higher rate, it would have fetched Rs. 360 more. Find the sum. कुशरुपे 3 सालकेलिएकिसीदरपरसिम्पलइंटरेस्टकेलिएरखे।यदि 2% दरकोबड़ादेतो 360/- ज्यादादेनापड़तेहै।मूलधनज्ञातकरो।
Sol	Let sum = P and original rate = R. Then, [PxR+2 x3/100] - [PxRx3)/100] =360 3PR + 6P — 3PR = 36000 6P = 36000 P = 6000. Hence, sum = Rs. 6000.

Type and Simple Interest Short trick 2: -
1	If any wealth on simple interest in t years, become n times, then Rate (r) = [{(n-1) x 100} / t ] %
2	If any wealth on simple interest at r% rate become n times, then- time (t) = {(n-1) x 100} / t years

Example:- If any wealth on simple interest in 20 years , become 4 times , then what will be the ratio of interest?

Type and Simple Interest Short trick 3: -
1	If any wealth, in definite time at r1% interest become n1 times and at r2% it become n2 times then- r2 = {(n2 - 1) / (n1 - 1)} x r1%
2	If any wealth on definite simple interest rate, in t1 time become n1 times and in t2 time become n2 times, then- t2 = {(n2 - 1) / (n1 - 1)} x t1 years

Example:-If any wealth, in definite time at 10% interest become 3x1/2 times, then in how much yearly rate of interest it will become 2x1/2 times?
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Type and Simple Interest Short trick 4: -
1	A principal ‘P' on fixed simple interest, in t time become amount A1, if the rate of interest become r% more, then new amount- A2 = A1 + {(P x r x t) / 100}

Example:- A principal 2400rs on fixed simple interest , in 5 years become amount 2760ra, if the rate of interest become 2% more, then what will be new amount ?

Type and Simple Interest Short trick 5: -
If on any wealth time is sequentially: t1 , t2 and t3 , and rate of simple interest is sequentially r1 , r2 and r3 ., then-
1	Simple interest (I) = P x {(r1 t1 + r2 t2 + r3 t3 +...........) / (I x 100)}
2	Principal (P) = [(I x 100) / (r1 t1 + r2 t2 + r3 t3 +.............)]
3	Amount (A) = P x [1 + {(r1 t1 + r2 t2 + r3 t3 +.............) / 100}]

Example:- On 5000 rs for first 2 years rate of interest is 5%, for next 3 years 6% and for next years 8%, then what will be total interest after 9 years ?

Type and Simple Interest Short trick 6: -
1	If any wealth on rate of simple interest after t1 years become A1 and after t2 years become A2, then- P = [A1 - {t1 / (t2 - t1)} x (A2 - A1)]

Example:-If any wealth on rate of simple interest after 2 years become 1200 rs and after 5 years become 1500 rs, then find principal?

Type and Simple Interest Short trick 7: -
If difference of simple interest is X rs , then
1	P = [(X x 100) / {t x (difference of r1 and r2)}] rs
2	P = [(X x 100) / {r x (difference of t1 and t2)}] rs

Example:- Any wealth is taken at a special rate for 4 years. If the rate of interest will 2% more then simple interest is 120 rs more , find principal ?

Type and Simple Interest Short trick 8: -
If after t years, the given amount X rs has to be paid in equal installment at the rate of r%, then every installment will be
1	Y = (X x 100) / [(100 x t) + {(t-1)+(t-2) +................(t-t)} x r]

Example:- After 5 years the given 2,200 rs , at the rate of 5% per annual has to be paid then what will be the each installment?


Type and Simple Interest Short trick 9:-

If any amount at the rate of r1% and r2% per annul interest will be borrow in two parts and on total amount the interest will r%,

r1 r2
> r <
(different between r2 & r) : (different between r1 & r)


Example:- A person borrow some part of 7000 rs at the rate of 6% per annul and the remaining part at the rate of 4% per annul. If after 5 years the total interest become 1600 rs, so how much amount did he borrow at the rate of 6% of interest?

Type and Simple Interest Short trick 10: -
1	In principal percent = 100%
2	In simple interest percent = (r x t)%
3	In Amount percent = 100% + (r x t)

Example:- In how much time any amount at the rate of 5% per annul will become 40% more then it?




Type and Simple Interest Short trick 11:-


Example:- In 10 years the simple interest of any amount will become 1200 rs. If that amount become triple in 5 years, then how much interest will be in 10 years?

Sample questions and solution

1. किसी धन पर एक विशेष दर से साधारण ब्याज उस धन का n गुना है यदि वार्षिक दर प्रतिशत तथा वर्षों मे समय के मान के बराबर हो, तो ब्याज की दर होगी |

2. किसी वार्षिक साधारण ब्याज की दर से कोई धन t वर्ष मे n गुना हो जाता है तब

3. यदि धन r% साधारण ब्याज की वार्षिक दर से कितने समय मे n गुना हो जाएगा ?

4. कितने समय मे किसी धन मे ब्याज की 5% वार्षिक दर से 40% की वृद्धि हो जाएगी ?

= 5% x t = 40%

t = 40% /5%

= 8 वर्ष

5. मिश्रधन व साधारण ब्याज मे संबंध, जब r व t दिये गए हों |

6. कोई धन एक निश्चित दर पर 3 वर्ष के लिए साधारण ब्याज की दर 1 % कम होती तो 259.20 रु कम ब्याज देना पड़ता, मूलधन कितना है ?

हल :- 3 वर्ष, कम दर = 1 %, कम ब्याज = 259.20 रुपए

मूलधन = कम ब्याज x 100 / कम दर x समय

= 259.20 x 100 / 1×3

= 8640 रुपये

उत्तर