Question

Total amount of money deposited in February was:

• A. Rs. 13200
• B. Rs. 4000
• C. Rs. 5200
• D. Rs. 12000
• A. 63:10
• B. 20:3
• C. 25:11
• D. 10:9
• A. 1200
• B. 1600
• C. 2000
• D. 1800
• A. 20%
• B. 25%
• C. 77(7/9) %
• D. 33(1/3) %
• A. 40
• B. 240
• C. 224
• D. 252

Answer 1

The Correct Option is C

The correct option is (C): Rs. 5200.
Let number of Rs. 20 notes deposited in January be ‘5a’
So, number of Rs. 50 notes deposited in January = 1.20 × 5a = ‘6a’
Let number of Rs. 20 notes deposited till February be ‘4b’
So, number of Rs. 50 notes deposited till February = 1.25 × 4b = 5b
Let number of Rs. 20 notes deposited till March be ‘5c’
So, number of Rs. 50 notes deposited till March = 0.80 × 5c = Rs. ‘4c’
Let number of Rs. 20 notes deposited till April be ‘20d’
So, number of Rs. 50 notes deposited till April = 1.35 × 20d = ‘27d’
Let number of Rs. 20 notes deposited till May be ‘10e’
So, number of Rs. 50 notes deposited till May = 0.90 × 10e = ‘9e’
Let number of Rs. 20 notes deposited till June be ‘5f’
So, number of Rs. 50 notes deposited till June = 0.80 × 5f = ‘4f’

Months	Number of Rs. 20 notes deposited	Number of Rs. 50 notes deposited
In January	5a	6a
In February	4b – 5a	5b – 6a
In March	5c – 4b	4c – 5b
In April	20d – 5c	27d – 4c
In May	10e – 20d	9e – 27d
In June	5f – 10e	4f – 9e

Let total number of notes deposited in February be 700x
So, number of Rs. 20 notes deposited in February = 42(\(\frac{6}{7}\))% of 700x =300x
So, ratio of number of Rs. 20 notes and Rs. 50 notes deposited in
February, respectively = 300x:400x = 3:4
Or,\( \frac{(4b – 5a)}{(5b – 6a) }\)=\(\frac{3}{4}\)
Or, 16b – 20a = 15b – 18a
Or, b = 2a
Let number of Rs. 20 notes deposited in February and March together is
650y
So, Number of Rs. 50 notes deposited in February and March together =
42/65 × 650y = 420y
So, Ratio of Rs. 20 notes and Rs. 50 notes deposited in February and
March together = 650y:420y = 65:42
So, {\(\frac{4b – 5a + 5c – 4b}{5b – 6a + 4c – 5b}\)} = \(\frac{65}{42}\)
Or, \(\frac{(5c – 5a)}{(4c – 6a) }\)= \(\frac{65}{42}\)
Or, \(\frac{(c – a)}{(2c – 3a)}\) =\(\frac{13}{21}\)
Or, 21c – 21a = 26c – 39a
Or, 5c = 18a
20d – 5c + 5c – 4b = 80 + 5a + 4b – 5a
Or, 20d – 4b = 80 + 4b
Or, 20d = 80 + 8b
Or, 20d = 80 + 8 × 2a
Or, 20d = 80 + 16a
And, 1.26 × (20d – 5c + 160) = 27d – 4c
Or, 25.2d – 6.3c + 201.6 = 27d – 4c
Or, 1.8d + 2.3c = 201.6
Or, 1.8 × \(\frac{(80 + 16a)}{20}\) + 2.3 × \(\frac{18a}{5}\) = 201.6
Or, 0.09(80 + 16a) + 8.28a = 201.6
Or, 7.2 + 1.44a + 8.28a = 201.6
Or, 9.72a = 194.4
Or, a = 20
And, b = 2 × 20 = 40
And, c = 18 × \(\frac{20}{5}\) = 72
And, d =\(\frac{ (80 + 16 × 20)}{20}\) = 20
So, number of Rs. 20 notes deposited in January = 5 × 20 = 100
Number of Rs. 50 notes deposited in January = 6 × 20 = 120
Number of Rs. 20 notes deposited in February = 4 × 40 – 5 × 20 = 60
Number of Rs. 50 notes deposited in February = 5 × 40 – 6 × 20 = 80
Number of Rs. 20 notes deposited in March = 5 × 72 – 4 × 40 = 200
Number of Rs. 50 notes deposited in March = 4 × 72 – 5 × 40 = 88
Number of Rs. 20 notes deposited in April = 20 × 20 – 5 × 72 = 40
Number of Rs. 50 notes deposited in April = 27 × 20 – 4 × 72 = 252
So, 9e – 27d =\( \frac{252}{7}\) = 36
Or, 9e = 36 + 27 × 20
Or, e = 64
So, Number of Rs. 20 notes deposited in May = 10 × 64 – 20 × 20 = 240
Number of Rs. 50 notes deposited in May = 36
And, number of Rs. 20 notes deposited in June = 1.50 × 240 = 360
So, 5f – 10e = 360
Or, 5f = 360 + 10 × 64 = 1000
Or, f = 200
So, number of Rs. 50 notes deposited in June = 4 × 200 – 9 × 64 = 224

Months	Number of Rs. 20 notes deposited	Number of Rs. 50 notes deposited
In January	100	120
In February	60	80
In March	200	88
In April	40	252
In May	240	36
In June	360	224

Desired amount = 60 × 20 + 80 × 50 = 1200 + 4000 = Rs. 5200.

Answer 2

The correct option is (B): 20:3.
Let number of Rs. 20 notes deposited in January be ‘5a’
So, number of Rs. 50 notes deposited in January = 1.20 × 5a = ‘6a’
Let number of Rs. 20 notes deposited till February be ‘4b’
So, number of Rs. 50 notes deposited till February = 1.25 × 4b = 5b
Let number of Rs. 20 notes deposited till March be ‘5c’
So, number of Rs. 50 notes deposited till March = 0.80 × 5c = Rs. ‘4c’
Let number of Rs. 20 notes deposited till April be ‘20d’
So, number of Rs. 50 notes deposited till April = 1.35 × 20d = ‘27d’
Let number of Rs. 20 notes deposited till May be ‘10e’
So, number of Rs. 50 notes deposited till May = 0.90 × 10e = ‘9e’
Let number of Rs. 20 notes deposited till June be ‘5f’
So, number of Rs. 50 notes deposited till June = 0.80 × 5f = ‘4f’

Months	Number of Rs. 20 notes deposited	Number of Rs. 50 notes deposited
In January	5a	6a
In February	4b – 5a	5b – 6a
In March	5c – 4b	4c – 5b
In April	20d – 5c	27d – 4c
In May	10e – 20d	9e – 27d
In June	5f – 10e	4f – 9e

Let total number of notes deposited in February be 700x
So, number of Rs. 20 notes deposited in February = 42(\(\frac{6}{7}\))% of 700x =300x
So, ratio of number of Rs. 20 notes and Rs. 50 notes deposited in
February, respectively = 300x:400x = 3:4
Or,\( \frac{(4b – 5a)}{(5b – 6a) }\)=\(\frac{3}{4}\)
Or, 16b – 20a = 15b – 18a
Or, b = 2a
Let number of Rs. 20 notes deposited in February and March together is
650y
So, Number of Rs. 50 notes deposited in February and March together =
42/65 × 650y = 420y
So, Ratio of Rs. 20 notes and Rs. 50 notes deposited in February and
March together = 650y:420y = 65:42
So, {\(\frac{4b – 5a + 5c – 4b}{5b – 6a + 4c – 5b}\)} = \(\frac{65}{42}\)
Or, \(\frac{(5c – 5a)}{(4c – 6a) }\)= \(\frac{65}{42}\)
Or, \(\frac{(c – a)}{(2c – 3a)}\) =\(\frac{13}{21}\)
Or, 21c – 21a = 26c – 39a
Or, 5c = 18a
20d – 5c + 5c – 4b = 80 + 5a + 4b – 5a
Or, 20d – 4b = 80 + 4b
Or, 20d = 80 + 8b
Or, 20d = 80 + 8 × 2a
Or, 20d = 80 + 16a
And, 1.26 × (20d – 5c + 160) = 27d – 4c
Or, 25.2d – 6.3c + 201.6 = 27d – 4c
Or, 1.8d + 2.3c = 201.6
Or, 1.8 × \(\frac{(80 + 16a)}{20}\) + 2.3 × \(\frac{18a}{5}\) = 201.6
Or, 0.09(80 + 16a) + 8.28a = 201.6
Or, 7.2 + 1.44a + 8.28a = 201.6
Or, 9.72a = 194.4
Or, a = 20
And, b = 2 × 20 = 40
And, c = 18 × \(\frac{20}{5}\) = 72
And, d =\(\frac{ (80 + 16 × 20)}{20}\) = 20
So, number of Rs. 20 notes deposited in January = 5 × 20 = 100
Number of Rs. 50 notes deposited in January = 6 × 20 = 120
Number of Rs. 20 notes deposited in February = 4 × 40 – 5 × 20 = 60
Number of Rs. 50 notes deposited in February = 5 × 40 – 6 × 20 = 80
Number of Rs. 20 notes deposited in March = 5 × 72 – 4 × 40 = 200
Number of Rs. 50 notes deposited in March = 4 × 72 – 5 × 40 = 88
Number of Rs. 20 notes deposited in April = 20 × 20 – 5 × 72 = 40
Number of Rs. 50 notes deposited in April = 27 × 20 – 4 × 72 = 252
So, 9e – 27d =\( \frac{252}{7}\) = 36
Or, 9e = 36 + 27 × 20
Or, e = 64
So, Number of Rs. 20 notes deposited in May = 10 × 64 – 20 × 20 = 240
Number of Rs. 50 notes deposited in May = 36
And, number of Rs. 20 notes deposited in June = 1.50 × 240 = 360
So, 5f – 10e = 360
Or, 5f = 360 + 10 × 64 = 1000
Or, f = 200
So, number of Rs. 50 notes deposited in June = 4 × 200 – 9 × 64 = 224

Months	Number of Rs. 20 notes deposited	Number of Rs. 50 notes deposited
In January	100	120
In February	60	80
In March	200	88
In April	40	252
In May	240	36
In June	360	224

Desired ratio = 240:36 = 20:3.

Answer 3

The correct option is (D): 1800.
Let number of Rs. 20 notes deposited in January be ‘5a’
So, number of Rs. 50 notes deposited in January = 1.20 × 5a = ‘6a’
Let number of Rs. 20 notes deposited till February be ‘4b’
So, number of Rs. 50 notes deposited till February = 1.25 × 4b = 5b
Let number of Rs. 20 notes deposited till March be ‘5c’
So, number of Rs. 50 notes deposited till March = 0.80 × 5c = Rs. ‘4c’
Let number of Rs. 20 notes deposited till April be ‘20d’
So, number of Rs. 50 notes deposited till April = 1.35 × 20d = ‘27d’
Let number of Rs. 20 notes deposited till May be ‘10e’
So, number of Rs. 50 notes deposited till May = 0.90 × 10e = ‘9e’
Let number of Rs. 20 notes deposited till June be ‘5f’
So, number of Rs. 50 notes deposited till June = 0.80 × 5f = ‘4f’

Months	Number of Rs. 20 notes deposited	Number of Rs. 50 notes deposited
In January	5a	6a
In February	4b – 5a	5b – 6a
In March	5c – 4b	4c – 5b
In April	20d – 5c	27d – 4c
In May	10e – 20d	9e – 27d
In June	5f – 10e	4f – 9e

Let total number of notes deposited in February be 700x
So, number of Rs. 20 notes deposited in February = 42(\(\frac{6}{7}\))% of 700x =300x
So, ratio of number of Rs. 20 notes and Rs. 50 notes deposited in
February, respectively = 300x:400x = 3:4
Or,\( \frac{(4b – 5a)}{(5b – 6a) }\)=\(\frac{3}{4}\)
Or, 16b – 20a = 15b – 18a
Or, b = 2a
Let number of Rs. 20 notes deposited in February and March together is
650y
So, Number of Rs. 50 notes deposited in February and March together =
42/65 × 650y = 420y
So, Ratio of Rs. 20 notes and Rs. 50 notes deposited in February and
March together = 650y:420y = 65:42
So, {\(\frac{4b – 5a + 5c – 4b}{5b – 6a + 4c – 5b}\)} = \(\frac{65}{42}\)
Or, \(\frac{(5c – 5a)}{(4c – 6a) }\)= \(\frac{65}{42}\)
Or, \(\frac{(c – a)}{(2c – 3a)}\) =\(\frac{13}{21}\)
Or, 21c – 21a = 26c – 39a
Or, 5c = 18a
20d – 5c + 5c – 4b = 80 + 5a + 4b – 5a
Or, 20d – 4b = 80 + 4b
Or, 20d = 80 + 8b
Or, 20d = 80 + 8 × 2a
Or, 20d = 80 + 16a
And, 1.26 × (20d – 5c + 160) = 27d – 4c
Or, 25.2d – 6.3c + 201.6 = 27d – 4c
Or, 1.8d + 2.3c = 201.6
Or, 1.8 × \(\frac{(80 + 16a)}{20}\) + 2.3 × \(\frac{18a}{5}\) = 201.6
Or, 0.09(80 + 16a) + 8.28a = 201.6
Or, 7.2 + 1.44a + 8.28a = 201.6
Or, 9.72a = 194.4
Or, a = 20
And, b = 2 × 20 = 40
And, c = 18 × \(\frac{20}{5}\) = 72
And, d =\(\frac{ (80 + 16 × 20)}{20}\) = 20
So, number of Rs. 20 notes deposited in January = 5 × 20 = 100
Number of Rs. 50 notes deposited in January = 6 × 20 = 120
Number of Rs. 20 notes deposited in February = 4 × 40 – 5 × 20 = 60
Number of Rs. 50 notes deposited in February = 5 × 40 – 6 × 20 = 80
Number of Rs. 20 notes deposited in March = 5 × 72 – 4 × 40 = 200
Number of Rs. 50 notes deposited in March = 4 × 72 – 5 × 40 = 88
Number of Rs. 20 notes deposited in April = 20 × 20 – 5 × 72 = 40
Number of Rs. 50 notes deposited in April = 27 × 20 – 4 × 72 = 252
So, 9e – 27d =\( \frac{252}{7}\) = 36
Or, 9e = 36 + 27 × 20
Or, e = 64
So, Number of Rs. 20 notes deposited in May = 10 × 64 – 20 × 20 = 240
Number of Rs. 50 notes deposited in May = 36
And, number of Rs. 20 notes deposited in June = 1.50 × 240 = 360
So, 5f – 10e = 360
Or, 5f = 360 + 10 × 64 = 1000
Or, f = 200
So, number of Rs. 50 notes deposited in June = 4 × 200 – 9 × 64 = 224

Months	Number of Rs. 20 notes deposited	Number of Rs. 50 notes deposited
In January	100	120
In February	60	80
In March	200	88
In April	40	252
In May	240	36
In June	360	224

Total number of notes deposited by Sonia = 1000 + 800 = 1800.

Answer 4

The correct option is (A): 20%.
Let number of Rs. 20 notes deposited in January be ‘5a’
So, number of Rs. 50 notes deposited in January = 1.20 × 5a = ‘6a’
Let number of Rs. 20 notes deposited till February be ‘4b’
So, number of Rs. 50 notes deposited till February = 1.25 × 4b = 5b
Let number of Rs. 20 notes deposited till March be ‘5c’
So, number of Rs. 50 notes deposited till March = 0.80 × 5c = Rs. ‘4c’
Let number of Rs. 20 notes deposited till April be ‘20d’
So, number of Rs. 50 notes deposited till April = 1.35 × 20d = ‘27d’
Let number of Rs. 20 notes deposited till May be ‘10e’
So, number of Rs. 50 notes deposited till May = 0.90 × 10e = ‘9e’
Let number of Rs. 20 notes deposited till June be ‘5f’
So, number of Rs. 50 notes deposited till June = 0.80 × 5f = ‘4f’

Months	Number of Rs. 20 notes deposited	Number of Rs. 50 notes deposited
In January	5a	6a
In February	4b – 5a	5b – 6a
In March	5c – 4b	4c – 5b
In April	20d – 5c	27d – 4c
In May	10e – 20d	9e – 27d
In June	5f – 10e	4f – 9e

Let total number of notes deposited in February be 700x
So, number of Rs. 20 notes deposited in February = 42(\(\frac{6}{7}\))% of 700x =300x
So, ratio of number of Rs. 20 notes and Rs. 50 notes deposited in
February, respectively = 300x:400x = 3:4
Or,\( \frac{(4b – 5a)}{(5b – 6a) }\)=\(\frac{3}{4}\)
Or, 16b – 20a = 15b – 18a
Or, b = 2a
Let number of Rs. 20 notes deposited in February and March together is
650y
So, Number of Rs. 50 notes deposited in February and March together =
42/65 × 650y = 420y
So, Ratio of Rs. 20 notes and Rs. 50 notes deposited in February and
March together = 650y:420y = 65:42
So, {\(\frac{4b – 5a + 5c – 4b}{5b – 6a + 4c – 5b}\)} = \(\frac{65}{42}\)
Or, \(\frac{(5c – 5a)}{(4c – 6a) }\)= \(\frac{65}{42}\)
Or, \(\frac{(c – a)}{(2c – 3a)}\) =\(\frac{13}{21}\)
Or, 21c – 21a = 26c – 39a
Or, 5c = 18a
20d – 5c + 5c – 4b = 80 + 5a + 4b – 5a
Or, 20d – 4b = 80 + 4b
Or, 20d = 80 + 8b
Or, 20d = 80 + 8 × 2a
Or, 20d = 80 + 16a
And, 1.26 × (20d – 5c + 160) = 27d – 4c
Or, 25.2d – 6.3c + 201.6 = 27d – 4c
Or, 1.8d + 2.3c = 201.6
Or, 1.8 × \(\frac{(80 + 16a)}{20}\) + 2.3 × \(\frac{18a}{5}\) = 201.6
Or, 0.09(80 + 16a) + 8.28a = 201.6
Or, 7.2 + 1.44a + 8.28a = 201.6
Or, 9.72a = 194.4
Or, a = 20
And, b = 2 × 20 = 40
And, c = 18 × \(\frac{20}{5}\) = 72
And, d =\(\frac{ (80 + 16 × 20)}{20}\) = 20
So, number of Rs. 20 notes deposited in January = 5 × 20 = 100
Number of Rs. 50 notes deposited in January = 6 × 20 = 120
Number of Rs. 20 notes deposited in February = 4 × 40 – 5 × 20 = 60
Number of Rs. 50 notes deposited in February = 5 × 40 – 6 × 20 = 80
Number of Rs. 20 notes deposited in March = 5 × 72 – 4 × 40 = 200
Number of Rs. 50 notes deposited in March = 4 × 72 – 5 × 40 = 88
Number of Rs. 20 notes deposited in April = 20 × 20 – 5 × 72 = 40
Number of Rs. 50 notes deposited in April = 27 × 20 – 4 × 72 = 252
So, 9e – 27d =\( \frac{252}{7}\) = 36
Or, 9e = 36 + 27 × 20
Or, e = 64
So, Number of Rs. 20 notes deposited in May = 10 × 64 – 20 × 20 = 240
Number of Rs. 50 notes deposited in May = 36
And, number of Rs. 20 notes deposited in June = 1.50 × 240 = 360
So, 5f – 10e = 360
Or, 5f = 360 + 10 × 64 = 1000
Or, f = 200
So, number of Rs. 50 notes deposited in June = 4 × 200 – 9 × 64 = 224

Months	Number of Rs. 20 notes deposited	Number of Rs. 50 notes deposited
In January	100	120
In February	60	80
In March	200	88
In April	40	252
In May	240	36
In June	360	224

Desired percentage = [\(\frac{(240 – 200)}{200}\)] × 100 = 20%

Answer 5

The correct option is (D): 252.
Let number of Rs. 20 notes deposited in January be ‘5a’
So, number of Rs. 50 notes deposited in January = 1.20 × 5a = ‘6a’
Let number of Rs. 20 notes deposited till February be ‘4b’
So, number of Rs. 50 notes deposited till February = 1.25 × 4b = 5b
Let number of Rs. 20 notes deposited till March be ‘5c’
So, number of Rs. 50 notes deposited till March = 0.80 × 5c = Rs. ‘4c’
Let number of Rs. 20 notes deposited till April be ‘20d’
So, number of Rs. 50 notes deposited till April = 1.35 × 20d = ‘27d’
Let number of Rs. 20 notes deposited till May be ‘10e’
So, number of Rs. 50 notes deposited till May = 0.90 × 10e = ‘9e’
Let number of Rs. 20 notes deposited till June be ‘5f’
So, number of Rs. 50 notes deposited till June = 0.80 × 5f = ‘4f’

Months	Number of Rs. 20 notes deposited	Number of Rs. 50 notes deposited
In January	5a	6a
In February	4b – 5a	5b – 6a
In March	5c – 4b	4c – 5b
In April	20d – 5c	27d – 4c
In May	10e – 20d	9e – 27d
In June	5f – 10e	4f – 9e

Let total number of notes deposited in February be 700x
So, number of Rs. 20 notes deposited in February = 42(\(\frac{6}{7}\))% of 700x =300x
So, ratio of number of Rs. 20 notes and Rs. 50 notes deposited in
February, respectively = 300x:400x = 3:4
Or,\( \frac{(4b – 5a)}{(5b – 6a) }\)=\(\frac{3}{4}\)
Or, 16b – 20a = 15b – 18a
Or, b = 2a
Let number of Rs. 20 notes deposited in February and March together is
650y
So, Number of Rs. 50 notes deposited in February and March together =
42/65 × 650y = 420y
So, Ratio of Rs. 20 notes and Rs. 50 notes deposited in February and
March together = 650y:420y = 65:42
So, {\(\frac{4b – 5a + 5c – 4b}{5b – 6a + 4c – 5b}\)} = \(\frac{65}{42}\)
Or, \(\frac{(5c – 5a)}{(4c – 6a) }\)= \(\frac{65}{42}\)
Or, \(\frac{(c – a)}{(2c – 3a)}\) =\(\frac{13}{21}\)
Or, 21c – 21a = 26c – 39a
Or, 5c = 18a
20d – 5c + 5c – 4b = 80 + 5a + 4b – 5a
Or, 20d – 4b = 80 + 4b
Or, 20d = 80 + 8b
Or, 20d = 80 + 8 × 2a
Or, 20d = 80 + 16a
And, 1.26 × (20d – 5c + 160) = 27d – 4c
Or, 25.2d – 6.3c + 201.6 = 27d – 4c
Or, 1.8d + 2.3c = 201.6
Or, 1.8 × \(\frac{(80 + 16a)}{20}\) + 2.3 × \(\frac{18a}{5}\) = 201.6
Or, 0.09(80 + 16a) + 8.28a = 201.6
Or, 7.2 + 1.44a + 8.28a = 201.6
Or, 9.72a = 194.4
Or, a = 20
And, b = 2 × 20 = 40
And, c = 18 × \(\frac{20}{5}\) = 72
And, d =\(\frac{ (80 + 16 × 20)}{20}\) = 20
So, number of Rs. 20 notes deposited in January = 5 × 20 = 100
Number of Rs. 50 notes deposited in January = 6 × 20 = 120
Number of Rs. 20 notes deposited in February = 4 × 40 – 5 × 20 = 60
Number of Rs. 50 notes deposited in February = 5 × 40 – 6 × 20 = 80
Number of Rs. 20 notes deposited in March = 5 × 72 – 4 × 40 = 200
Number of Rs. 50 notes deposited in March = 4 × 72 – 5 × 40 = 88
Number of Rs. 20 notes deposited in April = 20 × 20 – 5 × 72 = 40
Number of Rs. 50 notes deposited in April = 27 × 20 – 4 × 72 = 252
So, 9e – 27d =\( \frac{252}{7}\) = 36
Or, 9e = 36 + 27 × 20
Or, e = 64
So, Number of Rs. 20 notes deposited in May = 10 × 64 – 20 × 20 = 240
Number of Rs. 50 notes deposited in May = 36
And, number of Rs. 20 notes deposited in June = 1.50 × 240 = 360
So, 5f – 10e = 360
Or, 5f = 360 + 10 × 64 = 1000
Or, f = 200
So, number of Rs. 50 notes deposited in June = 4 × 200 – 9 × 64 = 224

Months	Number of Rs. 20 notes deposited	Number of Rs. 50 notes deposited
In January	100	120
In February	60	80
In March	200	88
In April	40	252
In May	240	36
In June	360	224

Number of Rs. 50 notes deposited in April = 252.