Directions (1 – 5): Following Annual dividend offered by two
companies over the given years
1. In the year 1982, Suraj invested Rs.
30000 in Company C. How much more or less dividend would he have received had
the amount been invested in Company D?
a) Rs. 600 more
b) Rs. 300 less
c) Rs. 600 less
d) Rs. 300 more
e) None of these
2. Bhavna invested different amounts in
Companies C and D in 1981 in the ratio of 4: 7. What will be the ratio of the
total dividend obtained by him from both companies?
a) 2 : 5
b) 15: 17
c) 24: 77
d) Cannot be determined
e) None of these
3. An amount of Rs.15000 was invested in
Company C in 1983. After one year the same amount was reinvested for one more
year. What was the total amount received at the end of two years?
a) Rs.58050
b) Rs.71150
c) Rs.19350
d) Rs.71510
e) None of these
4. Anu invested Rs.50000 in Company D in
1985. After one year she transferred the entire amount with dividend to Company
C in 1986 for one year. What amount will be received back by Anu including
dividend?
a) Rs. 24875
b) Rs. 49970
c) Rs. 66125
d) Rs. 85450.9
e) None of these
5. Ganga invested total amount of Rs.20000
in 1984 for one year in the two companies together and got a total dividend of
Rs. 3000. What was the amount invested in Company C?
a) Rs.18000
b) Rs.9000
c) Rs.10000
d) Cannot be determined
e) None of these
Directions
(6 – 10): Read the following
information carefully and answer the questions based on it: In 6 educational
years, number of students taking admission and leaving from the 5 different
schools which are founded in 1990 are given below.
(Assume that
all the admissions and leavings take place in the beginning of academic year
only)
School

A

B

C

D

E


Ad

L

Ad

L

Ad

L

Ad

L

Ad

L


1990

1025



950



1100



1500



1450



1991

230

120

350

150

320

130

340

150

250

125

1992

190

110

225

115

300

150

300

160

280

130

1993

245

100

185

110

260

125

295

120

310

120

1994

280

150

200

90

240

140

320

125

340

110

1995

250

130

240

120

310

180

360

140

325

115

In the above table shown Ad = Admitted, L = Left
6. In which of the following schools,
percentage increase in the number of students form the year 1990 to 1995 is
maximum?
a) A
b) B
c) C
d) D
e) E
7. What is the difference in the number of
students taking admission from 1990 to 1993 in school B and A?
a) 20
b) 22
c) 18
d) 24
e) None of these
8. Number of students leaving school E from
the year 1990 to 1995 is approximately what percentage of number of students
taking admission in the same school and in the same year range?
a) 20 %
b) 22%
c) 18%
d) 22.5%
e) None of the above
9. What was the number of students studying
in school E in 1995?
a) 2355
b) 2533
c) 2535
d) 2353
e) None of these
10. What is the average number of students
studying in the schools A, B, C the year 1993? (Nearest integer)
a) 1423
b) 1324
c) 1426
d) 1624
e) None of these
Solutions:
1. D) Dividend
obtained from C = 14% of 30000 = 30000 × 14/100 = Rs. 4200
(1)
Dividend from
D = 15% of 30000 = 30000 × 15/100 = Rs. 4500
(2)
From 1 and 2,
He would have
received Rs. 300 more.
2. C) Dividend
from C = 12%
Dividend from
D = 22%
∴ Ratio of total
dividend = (4 × 12): (7 × 22)
Thus, required
ratio is 24: 77
3. C) Amount
invested in C in 1983 = Rs. 15000
Dividend in
1983 = 16%
Dividend in
1984 = 13%
⇒ Amount returned
after 2 years = 15,000 + 16% of 15000 + 13% of 15000 = 15000 [100 + 16 + 13]/100 = 150 ×
129 = 19350
Thus, the
required amount is Rs. 19350.
4. C) Total
amount returned by Company D in 1985 including dividend
= 50000 +
(50000 × 15/100) = 50000 + 7500 = Rs. 57500
(1)
Amount
invested in C in 1986 = Rs. 57500
Dividend = 15%
∴ Total amount
returned
= 57500 +
(57500 × 15/100) = 57500 + 8625 = Rs. 66125.
Thus, required
amount is Rs. 66125.
5. C) Let the
amount invested in C = Rs. x
⇒ Amount invested in
D = Rs. 20000 – x
∴ Total amount she
got back from both companies = Rs. 3000
⇒ (x × 13/100) +
[(20000 – x) × 17/100] = 3000
⇒ (13x + 340000 –
17x)/100 = 3000
⇒ x = 10000
Thus, she
invested Rs. 10,000 on C
6. B) For A:
Number of
students in 1990 = 1025
Number of
students in 1995 = 1025 + (230 – 120) + (190 – 110) + (245 – 100) + (280 – 150)
+ (250 – 130)
Number of
students in 1995 = 1600
∴ % increase = (1600
– 1025)/1025 × 100 = 56.09
For B:
Number of
students in 1990 = 950
Number of
students in 1995 = 950 + (350 – 150) + (225 – 115) + (185 – 110) + (200 – 90) +
(240 – 120)
Number of
students in 1995 = 1565
∴% increase = (1565
– 950)/950 × 100 = 64.73
For C:
Number of
students in 1990 = 1100
Number of
students in 1995 = 1100 + (320 – 130) + (300 – 150) + (260 – 125) + (240 – 140)
+ (310 – 180)
Number of
students in 1995 = 1805
∴ % increase = (1805
– 1100)/1100 × 100 =
64.09
For D:
Number of
students in 1990 = 1500
Number of
students in 1995 = 1500 + (340 – 150) + (300 – 160) + (295 – 120) + (320 – 125)
+ (360 – 140)
Number of
students in 1995 = 2420
∴ % increase = (2420
– 1500)/1500 × 100 = 61.33
For E:
Number of
students in 1990 = 1450
Number of
students in 1995 = 1450 + (250 – 125) + (280 – 130) + (310 – 120) + (340 – 110)
+ (325 – 115)
Number of
students in 1995 = 2355
∴ % increase = (2355
– 1450)/1450 × 100 = 62
∴ the greatest
percentage rise is for school B
7. A) Number of
students taking admission from 1990 to 1993 = 1025 + 230 + 190 + 245
∴ Total number of
students = 1690 (1)
For B:
Number of
students taking admission from 1990 to 1993 = 950 + 350 + 225 + 185
∴ Total number of
students = 1710 (2)
∴ From equations (1)
and (2) we get,
Difference =
1710 – 1690
∴ Difference = 20
∴ the difference in
the number of students taking admission between the years 1990 and 1993 in
school B and A is 20
8. A) Number of
students admitted in school E from 1990 to 1995 = 1450 + 250 + 280 + 310 + 340
+ 325
∴ Admitted students
= 2955 (1)
Number of
students who left school E from 19901995 = 0 + 125 + 130 + 120 + 110 + 115
∴ Number of students
who left = 600 (2)
∴ From equations (1)
and (2) we get,
Required
percentage = 600/2955×100 = 20.30
∴ Required
percentage = 20.30 ≈ 20%
9. A) Number of
students studying in school E in 1995 = Number of students studying in school E
in 1994 + Number of Admitted students in 1995 – Number of students who left in
1995
∴ total number of
students = (1450 + (250 – 125) + (280 – 130) + (310 – 120) + (340 – 110)) + 325 – 115
∴ Total number of
students = 2355
∴ the number of
students studying in school E in 1995 was 2355.
10. A) For A:
Number of
students in A in 1993 = Number of students in A in 1992 + Number of admitted
students in 1993 – Number of students who left in 1993
∴ Total number of students = (1025 + (230 – 120) + (190
– 110)) + 245 – 100
∴ Total number of
students = 1360 (1)
For B:
Number of
students in B in 1993 = Number of students in B in 1992 + Number of admitted
students in 1993 – Number of students who left in 1993
∴ Total number of
students = (950 + (350 – 150) + (225 – 115)) + 185 – 110
∴ Total number of
students = 1335 (2)
For C:
Number of
students in C in 1993 = Number of students in C in 1992 + Number of admitted
students in 1993 – Number of students who left in 1993
∴ Total number of
students = (1100 + (320 – 130) + (300 – 150)) + 260 – 125
∴ Total number of
students = 1575 (3)
∴from equations (1)
(2) and (3) we get,
Total number
of students in schools A, B and C in 1993 = 1360 + 1335 + 1575
∴ Total number of students in schools A, B and C in
1993 = 4270
∴ Average number of
students = 4270/3 = 1423.33 ≈ 1423
The average
number of students studying in the schools A, B, C the year 1993 is 1423