# Aptitude Shortcuts and Mind Tricks for Simple Interest Problems Type-IV – Download in PDF

Aptitude Shortcut methods and tricks for Simple Interest Problems were given below. Candidates those who are preparing forIBPS PO/Clerk and all other competitive Exams can also download this in PDF.

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QUESTION
Arun deposited a certain sum in a bank. He gets 4% per annum interest for 1st 3 years, 5% for next 2 years and 6% beyond that. If he gets Rs. 2000 as simple interest for 8 years, how much money did he deposit in the bank?
GIVEN
ย
Rate of interest, R1 = 4% for Number of years, N1 = 3 years
Rate of interest, R2 = 5% for N2 = 2 years
R3 = 6% for N3 = 3 years (because total number of years = 8 years)
Simple Interest, S.I. = Rs. 2000
SOLUTION
ย
NORMAL METHOD
ย
Let the sum deposited i.e., Principle,P = Rs. Y
NowS.I. = [PNR] / 100
Here we have three different rates of interest R1, R2 and R3 and three different number of years N1, N2 and N3
Therefore,S.I. = ([PรN1รR1] / 100) + ([PรN2รR2] / 100) + ([PรN3รR3] / 100)
2000 = ([Yร3ร4] / 100) + ([Yร2ร5] / 100) + ([Yร3ร6] / 100)
2000 = (Y/100) ร (12 + 10 + 18)
200000 = Y ร 40
40Y = 200000
Y = [200000/40] = Rs. 5000
Therefore, Principle,Y = Rs. 5000
ย
ALTERNATE METHOD
ย
The total rate of interest = (R1รN1) + (R2รN2) + (R3รN3)
ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย  = (4%ร3) + (5%ร2) + (6%ร3)
ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย  = 12% + 10% + 18%
ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย R% = 40%
Now, 40% —>ย Rs. 2000 (S.I.)
Then, 100%ย —->ย ? (Principle)
Principle = [2000ร100] / 40 = 5000
Therefore,P = Rs. 5000

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