Quantitative Aptitude

General Questions

Quantitative Aptitude Exercise Mode

General Questions

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Question 11
What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years?

A
1 : 3
B
1 : 4
C
2 : 3
D
Data inadequate
E
None of these
Correct Answer: Option C

Let the principal be P and rate of interest be R%.

Required ratio =
P x R x 6
100
= 6PR = 6 = 2 : 3.
P x R x 9
100
9PR 9

Question 12
Mr. Deepak invested an amount of ₹ 21250 for 6 yr. At what rate of simple interest, will he obtain the total amount of ₹ 26350 at the end of 6 yr?

A
6% pa
B
5% pa
C
8% pa
D
12% pa
E
None of the above
Correct Answer: Option E

SI = 26350 - 21250 = ₹ 5100

Rate = 100 x 5100 % = 4%
21250 x 6

Question 13
Nitin borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a. for the next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of eleven years is ₹ 8160, how much money did he borrow ?

A
₹ 8000
B
₹ 10,000
C
₹ 12,000
D
Data inadequate
E
None of these
Correct Answer: Option A

Let the sum be Rs. X. Then,

(X x 6 x 3/100) + (X x 9 x 5 /100) + (X x 13 x 3/100)

 = 8160

<=> 18X + 45X + 39X = (8160 x 100)

<=> 102X = 816000

<=> X = 8000

Question 14
An automobile financier claims to be lending money at simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes:

A
10%
B
10.25%
C
10.5%
D
None of these
Correct Answer: Option B

Let the sum be ₹ 100. Then,

S.I. for first 6 months = ₹ 100 x 10 x 1
100 x 2
= ₹ 5

S.I. for last 6 months = ₹ 105 x 10 x 1
100 x 2
= ₹ 5.25

So, amount at the end of 1 year = ₹ (100 + 5 + 5.25) = ₹ 110.25

Effective rate = (110.25 - 100) = 10.25%

Question 15
A sum of money at simple interest amounts to ₹ 815 in 3 years and to ₹ 854 in 4 years. The sum is:

A
₹ 650
B
₹ 690
C
₹ 698
D
₹ 700
Correct Answer: Option C

S.I. for 1 year = ₹ (854 - 815) = ₹ 39.

S.I. for 3 years = ₹ (39 x 3) = ₹ 117.

∴ Principal = ₹ (815 - 117) = ₹ 698.

Question 16
A sum of money amounts to ₹ 9800 after 5 years and ₹ 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is:

A
5%
B
8%
C
12%
D
15%
Correct Answer: Option C

S.I. for 3 years = ₹ (12005 - 9800) = ₹ 2205.

S.I. for 5 years = ₹ 2205 x 5 = ₹ 3675
3

Principal = ₹ (9800 - 3675) = ₹ 6125.

Hence, rate = 100 x 3675 % = 12%
6125 x 5

Question 17
A sum of money lent out at simple interest amounts to ₹ 720 after 2 years and to ₹ 1020 after a further period of 5 years. The sum is :

A
₹ 500
B
₹ 600
C
₹ 700
D
₹ 710
Correct Answer: Option B

S.I. for 5 years = ₹ (1020 - 720)

= ₹ 300.

S.I. for 2 years = ₹ (300/5 x 2)

= ₹ 120

∴ principal = ₹ (720 - 120)

= ₹ 600.

Question 18
A sum invested at 5% simple interest per annum grows to ₹ 504 in 4 years. The same amount at 10% simple interest per annum in 2 years will grow to :

A
₹ 420
B
₹ 450
C
₹ 525
D
₹ 550
Correct Answer: Option C

Let the sum be ₹ X. Then,

S.I. = ₹ (504 - X).

∴ X x 5 x 4 = 504 - X
100

<=> 20X = 50400 - 100X

<=> 120X = 50400

<=> X = 420.

S.I. = ₹ 420 x 10 x 5 = ₹ 105.
100 x 2

Now, P = ₹ 420, R = 10%, T = 5/2 years.

Amount = ₹ (420 + 105) = ₹ 525.

Question 19
A sum of ₹ 725 is lent in the beginning of a year at a certain rate of interest. After 8 months, a sum of ₹ 362.50 more is lent but at the rate twice the former. At the end of the year, ₹ 33.50 is earned as interest from both the loans. What was the original rate of interest?

A
3.6%
B
4.5%
C
5%
D
6%
E
None of these
Correct Answer: Option E

Let the original rate be R%. Then, new rate = (2R)%.

Note:
Here, original rate is for 1 year(s); the new rate is for only 4 months i.e. year(s).

725 x R x 1 + 362.50 x 2R x 1 = 33.50
100 100 x 3

(2175 + 725) R = 33.50 x 100 x 3

(2175 + 725) R = 10050

(2900)R = 10050

R = 10050 = 3.46
2900

Original rate = 3.46%

Question 20
A lent ₹ 5000 to B for 2 years and ₹ 3000 to C for 4 years on simple interest at the same rate of interest and received ₹ 2200 in all from both of them as interest. The rate of interest per annum is:

A
5%
B
7%
C
7(1/8)%
D
10%
Correct Answer: Option D

Let the rate be R% p.a.

Then, 5000 x R x 2 + 3000 x R x 4 = 2200.
100 100

100R + 120R = 2200

R = 2200 = 10.
220

Rate = 10%.

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