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
Item D Profit Percentage Calculation
This solution explains how to calculate the percentage of profit for Item D in the year 2019, using the cost price from the year 2015 as the base. We will extract the necessary figures from the provided table.
Extracting Key Data for Item D
We need the Cost Price of Item D from 2015 and the Sale Price of Item D from 2019. Here are the relevant data points:
| Item | Year | Cost Price (₹) | Sale Price (₹) |
|---|---|---|---|
| D | 2015 | 25000 | 28750 |
| D | 2019 | 34000 | 40460 |
From the table, we identify:
- Cost Price of Item D in 2015: ₹25000
- Sale Price of Item D in 2019: ₹40460
Calculating the Percentage of Profit
The question asks for the 'percentage of profit of sale price of item D in 2019 on the cost of 2015'. This phrasing implies we need to find the total gain achieved when comparing the 2019 Sale Price against the 2015 Cost Price. This gain is then expressed as a percentage of the 2015 Cost Price.
Step 1: Determine the Gain Amount.
The gain is calculated as the difference between the Sale Price in 2019 and the Cost Price in 2015.
Gain = Sale Price (2019) - Cost Price (2015)
Gain = \( 40460 - 25000 \)
Gain = \( 15460 \)
Step 2: Calculate the Percentage Gain.
The percentage is calculated with respect to the 2015 Cost Price. The formula is:
Percentage Gain = \( \frac{\text{Gain Amount}}{\text{Cost Price (2015)}} \times 100 \)
Plugging in the values:
Percentage Gain = \( \frac{15460}{25000} \times 100 \)
Step 3: Simplify the expression.
Percentage Gain = \( \frac{15460}{250} \)
Percentage Gain = \( 61.84 \)
Therefore, the calculated percentage is 61.84%.
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
