Study the table given below and answer the questions that follow :
The table below shows the cost price (in Rupees) and sale price (in Rupees) of four items for five years.
Year Item A Item B Item C Item D Cost Price Sale price Cost Price Sale Price Cost price Sale Price Cost Price Sale Price 2015 200000 230000 100000 110000 25000 28750 25000 28750 2016 140000 161000 150000 165000 27500 31625 27500 31900 2017 210000 241500 160000 176000 40000 44000 30000 35100 2018 185000 212750 190000 209000 33300 38295 40000 47200 2019 170000 195500 199500 221445 34000 39100 34000 40460
To determine which item has the same percentage profit on cost during the first two and last two years, we need to calculate the percentage profit for each item for the years 2015, 2016, 2018, and 2019 using the given cost price (CP) and sale price (SP) from the table.
The formula to calculate percentage profit is:
\(\text{Percentage Profit} = \left(\frac{\text{SP} - \text{CP}}{\text{CP}}\right) \times 100\)
Let's calculate the percentage profit for each item:
Item A:
- 2015: \(\left(\frac{230000 - 200000}{200000}\right) \times 100 = 15\%\)
- 2016: \(\left(\frac{161000 - 140000}{140000}\right) \times 100 = 15\%\)
- 2018: \(\left(\frac{212750 - 185000}{185000}\right) \times 100 = 15\%\)
- 2019: \(\left(\frac{195500 - 170000}{170000}\right) \times 100 = 15\%\)
Item B:
- 2015: \(\left(\frac{110000 - 100000}{100000}\right) \times 100 = 10\%\)
- 2016: \(\left(\frac{165000 - 150000}{150000}\right) \times 100 = 10\%\)
- 2018: \(\left(\frac{209000 - 190000}{190000}\right) \times 100 = 10\%\)
- 2019: \(\left(\frac{221445 - 199500}{199500}\right) \times 100 = 11\%\)
Item C:
- 2015: \(\left(\frac{28750 - 25000}{25000}\right) \times 100 = 15\%\)
- 2016: \(\left(\frac{31625 - 27500}{27500}\right) \times 100 = 15\%\)
- 2018: \(\left(\frac{38295 - 33300}{33300}\right) \times 100 = 15\%\)
- 2019: \(\left(\frac{39100 - 34000}{34000}\right) \times 100 = 15\%\)
Item D:
- 2015: \(\left(\frac{28750 - 25000}{25000}\right) \times 100 = 15\%\)
- 2016: \(\left(\frac{31900 - 27500}{27500}\right) \times 100 \approx 16\%\)
- 2018: \(\left(\frac{47200 - 40000}{40000}\right) \times 100 = 18\%\)
- 2019: \(\left(\frac{40460 - 34000}{34000}\right) \times 100 = 19\%\)
From the above calculations, Item C has the same percentage profit of 15% during both the first two (2015, 2016) and last two years (2018, 2019).
Conclusion: The correct answer is Option C.
Important Questions from Data Interpretation
The table shows the monthly expenditure of Saumya. What percent of her monthly salary is she able to save?
Expense Amount Food 5,000 Rent 20,000 Travel 10,000 Clothing 3,000 Miscellaneous 15,000 Savings 7,500 What does the height of the rectangle in a histogram show?
Following table provides figures (in rupees) on annual expenditure of a firm for two years – 2010 and 2011.
Category
2010
2011
Raw material
5200
6240
Power & fuel
7000
9450
Salary & wages
9000
12600
Plant & machinery
20000
25000
Advertising
15000
19500
Research & Development
22000
26400
In 2011, which of the following two categories have registered increase by same percentage?
Read the following table giving sales data of five types of batteries for years 2006 to 2012
Year
Type I
Type II
Type III
Type IV
Type V
2006
75
144
114
102
108
2007
90
126
102
84
126
2008
96
114
75
105
135
2009
105
90
150
90
75
2010
90
75
135
75
90
2011
105
60
165
45
120
2012
115
85
160
100
145
Out of the following which type of battery achieved highest growth between the years 2006 and 2012?Each of the letters arranged as below represents a unique integer from 1 to 9. The letters are positioned in the figure such that (A × B × C), (B × G × E) and (D × E × F) are equal. Which integer among the following choices cannot be represented by the letters A, B, C, D, E, F and G?
A
D
B
G
E
C
F
