model 4 difference in ci & si Practice Questions Answers Test with Solutions & More Shortcuts

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: (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: (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: (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: (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: (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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