Get the Preplance app for a seamless learning experience. Practice offline, get daily streaks, and stay ahead with real-time interview updates.
Get it on
Google Play
4.9/5 Rating on Store
Aptitude & Reasoning · Question Set
Simple & Compound Interest interview questions for placements and exams.
Questions
14
Included in this set
Subject
Aptitude & Reasoning
Explore more sets
Difficulty
Mixed
Level of this set
Go through each question and its explanation. Use this set as a focused practice pack for Aptitude & Reasoning.
Simple interest equals principal times rate times time divided by one hundred. Here it is five thousand times eight times three over one hundred. That equals one thousand two hundred.
SI = (P×R×T)/100 = (5000×8×3)/100 = 1200
For complete preparation, combine this set with full subject-wise practice for Aptitude & Reasoning. You can also explore other subjects and sets from the links below.
For annual compounding multiply principal by one plus rate raised to years. Ten thousand times one point one squared equals twelve thousand one hundred.
A = P(1+R/100)^T = 10000×(1.10)^2 = 12100
For two years, the difference equals principal times rate squared over ten thousand. That is five thousand times one hundred forty four over ten thousand, which is seventy two.
Excess = P×(R^2)/10000 = 5000×(12^2)/10000 = 72
Principal equals interest times one hundred over rate times time. One thousand two hundred sixty times one hundred over twenty one equals six thousand.
P = SI×100/(R×T) = 1260×100/(7×3) = 6000
Time equals interest times one hundred divided by principal times rate. Two thousand two hundred fifty times one hundred over seven thousand five hundred times ten equals three years.
T = SI×100/(P×R) = 2250×100/(7500×10) = 3
One thousand times one plus r whole cube equals one thousand three hundred thirty one. So one plus r equals one point one. Rate equals ten percent.
(1+R/100)^3 = 1331/1000 = 1.331 ⇒ 1+R/100 = 1.10 ⇒ R=10%
Effective rate equals one plus nominal divided by four to the power four minus one. One point zero three to the power four minus one is approximately zero point one two five five or twelve point five five percent.
EAR = (1 + 0.12/4)^4 − 1 = (1.03)^4 − 1 ≈ 0.1255
Use simple interest formula rearranged. Principal equals interest times one hundred divided by rate times time. That is five hundred times one hundred over ten times two equals two thousand five hundred.
P = 500×100/(10×2) = 2500
Use compound decrease. Multiply by zero point eight each year. After two years the factor is zero point six four. Fifty thousand times zero point six four equals thirty two thousand.
Value = 50000×(1−0.20)^2 = 50000×0.64 = 32000
Rearrange simple interest formula. Rate equals interest times one hundred over principal times time. Eighteen hundred times one hundred divided by eighteen thousand equals ten percent.
R = SI×100/(P×T) = 1800×100/(6000×3) = 10%
Take cube root of amount over principal. The ratio one point seven two eight has cube root one point two. Therefore the yearly rate is twenty percent.
(A/P) = 1.728 ⇒ (1+R/100) = ∛1.728 = 1.20 ⇒ R = 20%
Half-yearly rate is five percent, number of periods two. Amount equals eight thousand times one point zero five squared equals eight thousand eight hundred twenty. Interest is eight hundred twenty.
A = 8000×(1+0.10/2)^2 = 8000×1.1025 = 8820 ⇒ CI = 8820−8000 = 820
Eighteen months is three half-years. Half-yearly rate five percent. Amount equals four thousand times one point zero five cubed equals four thousand six hundred thirty point five. Interest is six hundred thirty point five.
A = 4000×(1.05)^3 = 4630.5 ⇒ CI = 4630.5−4000 = 630.5
Apply successive growth factors. Multiply by one point one then by one point two. Amount equals six thousand six hundred, so interest is one thousand six hundred.
A = 5000×1.10×1.20 = 6600 ⇒ CI = 6600−5000 = 1600