model 4 difference in ci & si Practice Questions Answers Test with Solutions & More Shortcuts
compound interest PRACTICE TEST [6 - EXERCISES]
model 1 basic compound interest using formula
model 2 at ci sum becomes ‘n’ times after ‘t’ years
model 3 combination of si & ci
model 4 difference in ci & si
model 5 ci with instalments
model 6 comparing sum in different years
Question : 6 [SSC CGL Tier-1 2011]
The difference between the compound interest and simple interest on 10,000 for 2 years is 25. The rate of interest per annum is
a) 12%
b) 5%
c) 10%
d) 7%
Answer »Answer: (b)
Using Rule 6,
Difference = ${PR}^2/10000$
25 = ${10000 × R^2}/10000$ ⇒ R = 5%
Question : 7 [SSC CGL Prelim 2004]
The difference between simple and compound interests on a sum of money at 4% per annum for 2 years is 8. The sum is
a) 5,000
b) 400
c) 4,000
d) 800
Answer »Answer: (a)
Using Rule 6,
Let the sum be x.
When difference between the compound interest and simple interest on a certain sum of money for 2 years at r% rate is x, then the sum is given by:
Sum = Difference × $(100/\text"Rate")^2$
= Rs.8 × $(100/4)^2$
= Rs.8 × 25 × 25 = Rs.5000
Question : 8 [SSC CGL Prelim 2000]
If the difference between the compound interest, compounded every six months, and the simple interest on a certain sum of money at the rate of 12% per annum for one year is 36, the sum is :
a) 9,000
b) 10,000
c) 15,000
d) 12,000
Answer »Answer: (b)
Easy Trick
As the interest was compounded half-yearly,
we changed r to $r/2$ and t to 2t.
T = 1 year & R 6%
Sum = ${36 × 100 × 100}/{6 × 6}$ = Rs.10000
Question : 9 [SSC CGL Tier-I 2014]
The difference between the compound interest and simple interest on a certain sum for 2 years at 10% per annum is 300. Find the sum.
a) 30,500
b) 31,000
c) 30,000
d) 31,500
Answer »Answer: (c)
Using Rule 6,
Difference = ${PR^2}/10000$
300 = ${P × 10 × 10}/10000$
P = 300 × 100 = Rs.30000
Question : 10 [SSC CGL Prelim 2008]
The difference between compound and simple interest on a certain sum for 3 years at 5% per annum is Rs. 122. The sum is
a) 10,000
b) 16,000
c) 12,000
d) 15,000
Answer »Answer: (b)
Using Rule 6,
Let the difference between CI and SI on a certain sum for 3 years at r % be x,
then the sum v= ${\text"Difference" × (100)^3}/{r^2(300 + r)}$
= ${122 × {100}^3}/{25(300 + 5)}$
= $122000000/{25 × 305}$ = Rs.16000
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model 4 difference in ci & si Shortcuts »
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Click to Start..compound interest Shortcuts and Techniques with Examples
-
model 1 basic compound interest using formula
Defination & Shortcuts … -
model 2 at ci sum becomes ‘n’ times after ‘t’ years
Defination & Shortcuts … -
model 3 combination of si & ci
Defination & Shortcuts … -
model 4 difference in ci & si
Defination & Shortcuts … -
model 5 ci with instalments
Defination & Shortcuts … -
model 6 comparing sum in different years
Defination & Shortcuts …
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