Short Tricks of Simple Interest In Hindi | शार्ट ट्रिक्स साधारण ब्याज सिंपल इंटरेस्ट
In this post we are going to share some most and useful short tricks of Simple interest questions in Hindi. This tricks is very useful for all competitive exam aspirants; who want to make their carrier in field of various government department as well as various private sectors. Here we also give some most important questions which is frequently asked in exam; and post also also contain some most important definitions with short tricks.
SIMPLE INTEREST
Term
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Explanation
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Principal (मूलधन):-
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The wealth which is given to any one as loan is
called Principal.
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Time (समय):-
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The days for which a loan is given is called
Time.
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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.
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Amount (मिस्र्धन):-
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The sum of money after charging
the interest is called Amount.
|
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
|
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Important questions (asked in previous year Exam)
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Q1
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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. सामान्य ब्याज किसी मूलधन पर 2 1/2 साल के लिए 12% वार्षिक दर पर ; किसी दूसरे सिम्पल इंटरेस्ट से 40 कम है जो 3 1/2 साल पर 10% वार्षिक दर पर हो। मूलधन ज्ञात करो।
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Sol
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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
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Q2
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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.
कुश रुपे 3 साल के लिए किसी दर पर सिम्पल इंटरेस्ट के लिए रखे। यदि 2% दर को बड़ा दे तो 360/- ज्यादा देना पड़ते है। मूलधन ज्ञात करो।
|
Sol
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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
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If any wealth on simple interest in
t years, become n times, then
Rate (r) = [{(n-1) x 100} / t
] %
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2
|
If any wealth on simple interest at
r% rate become n times, then-
time (t) = {(n-1) x 100} / t
years
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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%
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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
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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}
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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}]
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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: -
|
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If difference of simple
interest is X rs , then
|
|
1
|
P = [(X x 100) / {t x (difference of r1
and r2)}] rs
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2
|
P = [(X x 100) / {r x (difference of t1
and t2)}] rs
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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:-
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
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In simple interest percent = (r x t)%
|
3
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In Amount percent = 100% + (r x t)
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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
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