Sadharan Byaj Short Trick pdf साधारण ब्याज शार्ट ट्रिक 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 |
| 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 |
| 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 |
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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} |
| 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}] |
| 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)] |
| 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) |
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
- 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
Comments Suman Sharma on 02-08-2019
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Koi rashi 15%pertiveras ki sadharan byaj dar 1725 ho jati h or 20%pertivars ki sadharan byaj dar per kitne hi time mai 1800 ho jati h rashi baty