Quantitative Aptitude

General Questions

Quantitative Aptitude Exercise Mode

General Questions

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Question 31
A sum of ₹ 1550 was lent partly at 5% and partly at 8% p.a. simple interest. The total interest received after 3 years was ₹ 300. The ratio of money lent at 5% to that lent at 8% is :

A
5 : 8
B
8 : 5
C
16 : 15
D
31 : 6
Correct Answer: Option C

Let the sum lent at 5% be ₹ X and that lent at 8% be ₹ (1550 - X). Then,

X x 5 x 3 + (1550 - X) x 8 x 3
100 100

<=> 15X - 24X + (1550 x24) = 30000
<=> 9X = 7200
<=> X = 800.
Required ratio = 800 : 750 = 16 : 15

Question 32
A person borrowed ₹ 500 @ 3% per annum S.I. and ₹ 600 @ 4% per annum on the agreement that the whole sum will be returned only when the total interest becomes ₹ 126. The number of years, after which the borrowed sum is to be returned, is :

A
2
B
3
C
4
D
5
Correct Answer: Option B

Let the time be X years. Then,

500 x 3 x X + 600 x 9 x X
100 100 x 2

<=> 15X + 27X = 126
<=> 42X = 126 <=> X = 3.
Required time = 3 years.

Question 33
The rate of interest for the first 2 years is 5% for the next 3 years is 8% and beyond this. It is 10% per annum. If the simple interest for 8 years is ₹ 1280. What is the principal ?

A
₹ 2500
B
₹ 2000
C
₹ 3200
D
₹ 2440
Correct Answer: Option B

r1 = 5%,
r2 = 8%,
r3 = 10%,

t1 = 2 years
t2 = 3 years,
t3 = 8 - (2 + 3) = 3 years
∵ Principal = (Interest x 100) / [(r1 x t1) + (r2 x t2) + (r3 x t3 )]

= (1280 x 100) / (5 x 2 + 8 x 3 + 10 x 3)
= 128000/(10 + 24 + 30)
= 128000/64
= ₹ 2000

Question 34

Consider the following statements :

If a sum of money is lent at simple interest, then the

1. money gets doubled in 5 years if the rate of interest is 16%.

2. money gets doubled in 5 years if the rate of interest is 20%.

3. money becomes four times in 10 years if it gets doubled in 5 years.

Of these statements,

A
1 and 3 are correct
B
2 alone is correct
C
3 alone is correct
D
2 and 3 are correct
Correct Answer: Option B

Let sum be X. Then , S.I. = X.

1. Time = 100 x X years = 6 years (False)
X x 50/3

2. Time = 100 x X years = 5 years (True)
X x 20

3. Suppose sum = X. Then, S.I. = X and Time = 5 years.

Rate = 100 x X % = 20%
X x 20

Now, sum = X, S.I. = 3X and rate = 20%.

Time = 100 x 3X years = 15 years (False)
X x 20

So, 2 alone is correct.

Question 35
A certain sum of money at simple interest amounts to ₹ 1012 in 2 years and to ₹ 1067.20 in 4 years. The rate of interest per annum is:

A
2.5%
B
3%
C
4%
D
5%
Correct Answer: Option C

S.I. for 1 years = ₹ (1067.20 - 1012) = ₹ 55.20

S.I. for 2 years = ₹ (55.20 x 2/3 x 5/2)
= ₹ 92.

Principal = ₹ (1012 - 92) = ₹ 920.

Rate = 100 x 92 x 2 % = 4%
920 x 5

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