Directions
(1 – 5): Study
the following graph and answer the questions given below:
The bar graph given below shows the number of
packs of potato chips and banana chips produced by a company over the given
years.
Years

Ratio of prices
Potato chips : Banana Chips

Total revenue generated
(in thousand rupees)

2012

4 : 3

1920

2013

6 : 5

2346

2014

1 : 1

2952

2015

1 : 1

4080

2016

11 : 12

5520

1. What is the percentage increase in
revenue generated by selling only banana chips in 2015 as compared to 2012?
a) 125
b) 25
c) 75
d) 133 1/3
e) None of these
2. If the sale of both potato chips
and banana chips in 2017 goes up by 10% than that in 2016, and if potato and
banana chips are sold at Rs. 23 and Rs. 25 per pack respectively, then what
will be the total revenue generated by selling both types of chips in 2017 (in
thousand rupees)?
a) 4800
b) 6048
c) 6336
d) 3300
e) 6600
3. What is the difference in revenues
generated by selling potato chips and banana chips in the year 2013?
a) Rs. 192000
b) Rs. 268000
c) Rs. 150192
d) Rs. 246000
e) Rs. 213273
4. In 2015, the company launched a
marketing campaign to increase sales of potato chips. The aim was to generate a
minimum revenue of Rs. 6,000,000 in the year 2020. Also, the price of a packet
must not be more than Rs. 30. What is the minimum percentage increase in sales
of potato chips from 2015 to 2020, so that this objective is achieved?
a) 108 1/3
b) 66 2/3
c) 78 1/5
d) 85 5/27
e) 133 1/3
5. What is the approximate difference
between average number of packs of potato chips sold per year over the years
2012 to 2014 and the average number of packs of banana chips sold per year over
the years 2014 to 2016?
a) 32000
b) 37333
c) 31333
d) 54000
e) 41333
Directions
(6 – 10): Study
the following graph and answer the questions given below:
The line graph below shows number of bulbs
produced (in lakh units) by two companies, Ujala and Glowmax, over the years
2012 to 2016.
The
manufactured bulbs undergo an extremely rigorous quality check and the bulbs
not meeting quality standards are labelled defective. The remaining bulbs are
labeled as fit for sale.
The following table shows the percentage of
defective bulbs out of total manufactured bulbs and percentage of bulbs sold
out of the total bulbs fit for sale, for the two companies.
Year

% of defective bulbs out of total manufactured

% of bulbs sold out of total bulbs fit for sale


Ujala

Glowmax

Ujala

Glowmax


2012

10

10

88 ^{8}/_{9}

77 ^{7}/_{9}

2013

10

12.5

77 ^{7}/_{9}

80

2014

11 ^{1}/_{9}

10

90

88 ^{8}/_{9}

2015

5

8

80

75

2016

2.5

11 ^{1}/_{9}

80

83 ^{1}/_{3}

6. If each bulb of Ujala is sold for
Rs. 60, then what is the revenue generated byUjala (in million Rs.) in the year
2015 through selling bulbs?
a) 114
b) 60
c) 110.4
d) 103.5
e) None of these
7. What is the ratio of bulbs sold by
Ujala and that by Glowmax in the year 2013?
a) 9 : 10
b) 20 : 21
c) 7 : 8
d) 35 : 36
e) None of these
8. What is the difference between
number of bulbs sold of Ujala and Glowmax in the year 2014 (in lakh units)?
a) 1.7
b) 2
c) 2.1
d) 0.6
e) None of these
9. What is the ratio of Number of
bulbs of Glowmax termed as defective in 2014 and the bulbs of Ujala termed as
defective in 2012?
a) 5 : 4
b) 3 : 2
c) 3 : 5
d) 5 : 3
e) 25 : 18
10. What is the percentage increase in
number of bulbs of Glowmax sold in 2015 as compared to those sold in 2014?
a) 7
b) 5.56
c) 3.5
d) 15
e) None of these
Solutions:
1. A) Ratio of prices of potato chips to banana chips sold in 2012 is 4 : 3.
Let’s assume
that the respective prices are 4x and 3x.
∴ total
revenue in 2012 = (48000 × 4x) + (64000 × 3x) = 384000x
⇒ 384000x =
1920000
⇒ x = 5
∴ Revenue
generated by selling banana chips in 2012 = 64000 × 3x = 64000 × 3 × 5 = Rs.
960000
Now, Ratio of
prices of potato chips to banana chips sold in 2015 is 1 : 1.
Let’s assume
that the respective prices are x and x.
∴ total
revenue in 2015 = (96000 × x) + (108000 × x) = 204000x
⇒ 204000x =
4080000
⇒ x = 20
∴ Revenue
generated by selling banana chips in 2015 = 108000 × x = 108000 × 20 = Rs. 2160000
Required
percentage increase = (2160000 – 960000)/960000 × 100 = 125
2. C) Sale of potato chips in 2016 = 120000
Sale of
banana chips in 2016 = 120000
Both the
sales go up by 10% in 2017.
∴ sale of
potato chips in 2017 = sale of banana chips in 2017 = 120000 + (10% of 120000)
= 132000
Now, potato
and banana chips are sold at Rs. 23 and Rs. 25 per pack respectively.
∴ Total
revenue generated = (132000 × 23) + (132000 × 25) = Rs. 6336000
3. D) Packets of potato chips sold = 72000
Packets of
banana chips sold = 70000
Ratio of
prices of potato chips to banana chips sold in 2013 is 6 : 5.
Let’s assume
that the respective prices are 6x and 5x.
∴ total
revenue in 2013 = (72000 × 6x) + (70000 × 5x) = 782000x
⇒ 782000x =
2346000
⇒ x = 3
∴ Revenue
generated by selling potato chips = 72000 × 6 × 3 = 1296000
∴ Revenue
generated by selling banana chips = 70000 × 5 × 3 = 1050000
Required
difference = 1296000 – 1050000 = Rs. 246000
4. A) Aimed revenue by selling potato chips in 2020 = Rs.
6000000
The maximum
price of a packet can be Rs. 30.
∴ minimum
number of packs to be sold in 2020 = 6000000/30 = 200000
Packs of
potato chips sold in 2015 = 96000
Required
percentage = (200000 – 96000)/96000 × 100 = 108 1/3
5. B) Average number of potato chips sold per year from 2012
to 2014
= 1/3 ×
(48000 + 72000 + 80000) = 66666.67
Average
number of banana chips sold per year from 2014 to 2016
= 1/3 ×
(84000 + 108000 + 120000) = 104000
Required
difference = 104000 – 66666.67 = 37333.33 ≈ 37333
6. A) Number of bulbs of Ujala manufactured in 2015 =
2500000
Number of
bulbs of Ujala termed as defective in 2015 = 5% of 2500000 = 125000
∴ Number of
bulbs fit for sale = 2500000 – 125000 = 2375000
⇒ Number of
bulbs sold = 80% of 2375000 = 1900000
⇒ Total
revenue by selling bulbs = 1900000 × 60 = Rs.
114,000,000 = Rs. 114 million
7. C) Number of bulbs of Ujala manufactured in 2013 =
2100000
Number of
bulbs of Ujala termed as defective in 2013 = 10% of 2100000 = 210000
∴ Number of
bulbs of Ujala fit for sale in 2013 = 2100000 – 210000 = 1890000
⇒ Number of
bulbs of Ujala sold in 2013 = 77 ^{7}/_{9}%
of 1890000 = 1470000
Number of
bulbs of Glowmax manufactured in 2013 = 2400000
Number of
bulbs of Glowmax termed as defective in 2013 = 12.5% of 2400000 = 300000
∴ Number of
bulbs of Glowmax fit for sale in 2013 = 2400000 – 300000 = 2100000
⇒ Number of
bulbs of Glowmax sold in 2013 = 80% of 2100000 = 1680000
Required
ratio = 1470000 : 1680000 = 7 : 8
8. B) Number of bulbs of Ujala manufactured in 2014 =
2250000
Number of
bulbs of Ujala termed as defective in 2014 = 11 ^{1}/_{9}%
of 2250000 = 250000
∴ Number of
bulbs of Ujala fit for sale in 2014 = 2250000 – 250000 =
2000000
⇒ Number of
bulbs of Ujala sold in 2014 = 90% of 2000000 = 1800000
Number of
bulbs of Glowmax manufactured in 2014 = 2500000
Number of
bulbs of Glowmax termed as defective in 2014 = 10% of 2500000 = 250000
∴ Number of
bulbs of Glowmax fit for sale in 2014 = 2500000 – 250000 = 2250000
⇒ Number of
bulbs of Glowmax sold in 2014 = 88 ^{8}/_{9}% of 2250000 =
2000000
∴ Required
difference = 2000000 – 1800000 = 2,00,000 = 2 lakh
9. D) Number of bulbs of Glowmax manufactured in 2014 =
2500000
∴ Number of
bulbs of Glowmax termed as defective in 2014 = 10% of 2500000 = 250000
Number of
bulbs of Ujala manufactured in 2012 = 1500000
∴ Number of
bulbs of Ujala termed as defective in 2012 = 10% of 1500000 = 150000
Required
ratio = 250000 : 150000 = 5 : 3
10. C) Number of bulbs of Glowmax manufactured in 2014 =
2500000
Number of
bulbs of Glowmax termed as defective in 2014 = 10% of 2500000 = 250000
∴ Number of
bulbs of Glowmax fit for sale in 2014 = 2500000 – 250000 = 2250000
⇒ Number of
bulbs of Glowmax sold in 2014 = 88 ^{8}/_{9}% of 2250000 =
2000000
Number of
bulbs of Glowmax manufactured in 2015 = 3000000
Number of
bulbs of Glowmax termed as defective in 2015 = 8% of 3000000 = 240000
∴ Number of
bulbs of Glowmax fit for sale in 2015 = 3000000 – 240000 = 2760000
⇒ Number of
bulbs of Glowmax sold in 2015 = 75% of 2760000 = 2070000
∴ Required
percentage =2070000−20000002000000×100=3.5=2070000−20000002000000×100=3.5