Sadharan Byaj Short Trick pdf साधारण ब्याज शार्ट ट्रिक pdf

साधारण ब्याज शार्ट ट्रिक pdf

GkExams on 10-02-2019

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 ; किसीदूसरेसिम्पलइंटरेस्ट*से 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