Study the table carefully and answer the questions:
The given data is regarding the number of paperback and hardbound books sold by four different book shops A, B, C and D :Shops Number of Hardbound books sold Number of Paperback books sold A 3500 2000 B 3900 5200 C 4400 5500 D 5500 6600
Analyzing Book Sales Data Comparison
The question asks us to compare the number of hardbound books sold by Shop A with the number of paperback books sold by Shop C. We need to find out what percentage less the sales of Shop A are compared to Shop C.
Identifying Sales Figures
First, let's extract the relevant sales data from the provided table:
- Number of hardbound books sold by Shop A = 3500
- Number of paperback books sold by Shop C = 5500
Calculating the Difference in Sales
Next, we find the absolute difference between these two sales figures. The comparison is based on Shop C's paperback sales, so we calculate how much less Shop A's hardbound sales are:
Difference = Sales of paperback books by Shop C - Sales of hardbound books by Shop A
Difference = $5500 - 3500 = 2000$
Calculating the Percentage Difference
To find the percentage difference, we use the following formula. The 'base' value for the percentage calculation is the number of paperback books sold by Shop C, as the question asks how much less Shop A's sales are *than* Shop C's sales:
Percentage Less = $\left( \frac{\text{Difference}}{\text{Sales of paperback books by Shop C}} \right) \times 100\%$
Now, let's plug in the values:
Percentage Less = $\left( \frac{2000}{5500} \right) \times 100\%$
Simplify the fraction:
Percentage Less = $\left( \frac{20}{55} \right) \times 100\% = \left( \frac{4}{11} \right) \times 100\%$
Performing the calculation:
Percentage Less $\approx 0.363636... \times 100\% \approx 36.36\%$
Determining the Approximate Percentage
The question asks for the approximate percentage. Comparing our calculated value of 36.36% to the given options:
- Option 1: 32%
- Option 2: 36%
- Option 3: 38%
- Option 4: 42%
The value 36.36% is approximately 36%. Therefore, the number of hardbound books sold by Shop A is approximately 36% less than the number of paperback books sold by Shop C.
Important Questions from Percentage
Radha saves 25% of her income. If her expenditure increases by 20% and her income increases by 29%, then her savings increase by;
The income of A is 45% more than the income of B and the income of C is 60% less than the sum of the incomes of A and B. The income of D is 20% more than that of C. If the difference between the incomes of B and D is Rs. 13200, then the income (in Rs.) of C is:
The price of cooking oil increased by 25%. Find by how much percentage a family must reduce its consumption in order to maintain the same budget.
The population of a city increased by 30% in the first year and decreased by 15% in the next year. If the present population is 11,050 then population 2 years ago was:
The income of A is 30% less than the income of B and the income of B is 137.5% more than that of C. If the income of A is Rs. 28500 less than that of B, then the income (in Rs.) of C is:
