Quantitative Aptitude DI
Oct 22 2020
Here we are providing new series of Quantitative Aptitude Questions for upcoming exams, so the aspirants can practice it on a daily basis.
Study the following information carefully and answer the given questions?
The following pie chart 1 shows the amount invested by 5 persons on scheme P which provides simple interest and pie chart 2 shows the amount invested by those 5 persons on scheme Q which provides compound interest and the bar graph shows the rate of interest provided for those 5 persons (rate of interest is varies for person to person).
Total amount invested in scheme P = Rs. 10 lakhs
Total amount invested in scheme Q = Rs. 5 lakhs
Note:
The rate of interest is same for both simple and compound interest.
1) The total period amount invested by person A on scheme P is 3 years and the interest received by person A on scheme P is Rs. 34000 more than the interest received by the same person on scheme Q. Then find the time period the amount invested by person A on scheme Q?
a) 4 years
b) 3 years
c) 1 year
d) 2 years
e) None of these
2) The simple interest earned by person C on scheme P is Rs. 80000 and the total time period the amount invested by person B on scheme Q is 2 years. Then find the difference between the total amount received by person F on scheme P to that of the total amount received by person B on scheme Q, if the amount invested by person F on scheme P is 20 % less than the amount invested by person B in the same scheme and rate of interest is 10 % and the time period is equal to the amount invested by person C on scheme P?
a) 122876
b) 105642
c) 117250
d) 128458
e) None of these
3) Find the ratio between the total time period the amount invested by person E on scheme P to that of scheme Q, if the interest earned by person E on scheme P is Rs. 33000 and the total amount received by person E on scheme Q is Rs. 137812.5?
a) 4 : 3
b) 3 : 2
c) 1 : 2
d) 2 : 3
e) None of these
4) The total time period the amount invested by person B, D and E in scheme P is 2, 5 and 3 years respectively. Then find the average simple interest earned by person B, D and E together?
a) 51000
b) 60000
c) 48000
d) 55000
e) None of these
5) Find the product of total time period the amount invested by person C and D on scheme Q, if the interest earned by person C and D on scheme Q is Rs. 25971.2 and Rs. 30369.6 Respectively?
a) 9 years
b) 8 years
c) 10 years
d) 6 years
e) None of these
Answers :
1) Answer: C
The amount invested by person A on scheme P
= > 1000000 * (15/100) = Rs. 150000
The amount invested by person A on scheme Q
= > 500000 * (22/100) = Rs. 110000
According to the question,
[(150000 * 10 * 3) / 100] - [110000 * ((1 + (10/100))n - 1)] = 34000
[110000 * ((1 + (10/100))n - 1)] = 45000 - 34000
[110000 * ((1 + (10/100))n - 1)] = 11000
[(100 + 10) / 100]n = (1/10) + 1
(11/10)n = (11/10)1
So, n = 1
The time period the amount invested by person A on scheme Q
= > 1 year
2) Answer: A
The amount invested by person C on scheme P
= > 1000000 * (25/100) = Rs. 250000
The amount invested by person B on scheme Q
= > 500000 * (18/100) = Rs. 90000
The amount invested by person B on scheme P
= > 1000000 * (20/100) = Rs. 200000
The amount invested by person F on scheme P
= > 200000 * (80/100) = Rs. 160000
The simple interest earned by person C on scheme P = Rs. 80000
(250000 * 8 * n) / 100 = 80000
n = (80000 * 100) / (250000 * 8) = 4 years
The total amount received by person F on scheme P
= > 160000 + (160000 * 4 * 10) / 100
= > 160000 + 64000
= > Rs. 224000
The total amount received by person B on scheme Q
= > 90000 * [(106/100)2]
= > Rs. 101124
Required difference = 224000 - 101124 = Rs. 122876
3) Answer: B
The amount invested by person E on scheme P
= > 1000000 * (22/100) = Rs. 220000
The interest earned by person E on scheme P = Rs. 33000
(220000 * n1 * 5) / 100 = 33000
n1 = (33000 * 100) / (220000 * 5) = 3 years
The amount invested by person E on scheme Q
= > 500000 * (25/100) = Rs. 125000
The total amount received by person E on scheme Q = Rs. 137812.5
125000 * [(105/100)n] = 137812.5
[(105/100)n] = (137812.5 / 125000)
[(105/100)n] = 11025 / 10000
[(105/100)n] = (105 / 100)2
n = 2 years
Required ratio = 3 : 2
4) Answer: D
The amount invested by person B on scheme P
= > 1000000 * (20/100) = Rs. 200000
The amount invested by person D on scheme P
= > 1000000 * (18/100) = Rs. 180000
The amount invested by person E on scheme P
= > 1000000 * (22/100) = Rs. 220000
Required average
= > {[(200000 * 6 * 2) / 100] + [(180000 * 12 * 5) / 100] + [(220000 * 5 * 3) / 100]} / 3
=> (24000 + 108000 + 33000) / 3
=> Rs. 55000
5) Answer: A
The amount invested by person C on scheme Q
= > 500000 * (20/100) = Rs. 100000
The amount invested by person D on scheme Q
= > 500000 * (15/100) = Rs. 75000
The total time period the amount invested by person C on scheme Q
= > 100000 * (108/100)n = 125971.2
= >(108/100)n = 125971.2 / 100000
= >(27/25)n = (19683 / 15625)
= >(27/25)n = (27/25)3
So, n = 3 years
The total time period the amount invested by person D on scheme Q
= > 75000 * (112/100)n = 105369.6
= >(28/25)n = (105369.6 / 75000)
= >(28/25)n = 21952 / 15625
= >(28/25)n = (28/25)3
So, n = 3 years
Required answer = 3 * 3 = 9 years