The question asks about the tax buoyancy of States' SGST revenue, including compensation, during a specific post-GST period. Tax buoyancy measures the responsiveness of tax revenue growth to changes in the base (e.g., GDP). A buoyancy greater than 1 indicates that tax revenue is growing faster than the base.
C) more than 1 — Official data and reports from the Ministry of Finance have indicated that the SGST revenue, including compensation, for states has achieved a tax buoyancy of more than 1 in the period from 2017-18 to 2022-23. This signifies that the SGST revenue has grown at a faster rate than the nominal GSDP, reflecting the effectiveness of the GST system in revenue mobilization for states.
This problem involves work and time. We need to find the individual work rate of B and then calculate the time B would take to complete 9 times the original work. The key is to express work done in terms of "work per day" or "fraction of work per day".
Calculate the combined work rate of A and B:
A and B together complete the work in 2 days. So, their combined work rate is:
\[ \text{Work done by (A + B) in 1 day} = \frac{1}{2} \text{ of the work} \]Calculate the individual work rate of A:
A alone can do the work in 38 days. So, A's work rate is:
\[ \text{Work done by A in 1 day} = \frac{1}{38} \text{ of the work} \]Calculate the individual work rate of B:
The work rate of B can be found by subtracting A's work rate from the combined work rate of A and B:
\[ \text{Work done by B in 1 day} = \text{Work done by (A + B) in 1 day} - \text{Work done by A in 1 day} \] \[ = \frac{1}{2} - \frac{1}{38} \]To subtract these fractions, find a common denominator, which is 38:
\[ = \frac{19}{38} - \frac{1}{38} \] \[ = \frac{19 - 1}{38} \] \[ = \frac{18}{38} \] \[ = \frac{9}{19} \text{ of the work} \]Calculate the time B takes to complete the original work:
If B does \(\frac{9}{19}\) of the work in 1 day, then B will complete the entire work (1 unit of work) in:
\[ \text{Time taken by B to complete 1 work} = \frac{1}{\text{Work done by B in 1 day}} = \frac{1}{\frac{9}{19}} = \frac{19}{9} \text{ days} \]Calculate the time B takes to complete 9 times the work:
If B takes \(\frac{19}{9}\) days to complete 1 unit of work, then to complete 9 times the work, B will take:
\[ \text{Time taken by B to complete 9 times the work} = 9 \times \frac{19}{9} \text{ days} \] \[ = 19 \text{ days} \]D) 19
To solve this problem, we need to first establish a relationship between the salaries of A and B based on the given percentage increase. Then, we will calculate the percentage by which B's salary is less than A's salary using the formula for percentage decrease.
Let B's salary be \( \\(100 \).
A's salary is 16% more than B's salary. So, A's salary will be:
\[ \text{A's Salary} = \text{B's Salary} + 16\% \text{ of B's Salary} \]\[ \text{A's Salary} = 100 + \left(\frac{16}{100} \times 100\right) \]\[ \text{A's Salary} = 100 + 16 = \\)116 \]The difference between A's salary and B's salary is:
\[ \text{Difference} = \text{A's Salary} - \text{B's Salary} \]\[ \text{Difference} = 116 - 100 = \$16 \]To find by what percentage B's salary is less than A's, we use A's salary as the reference (denominator).
\[ \text{Percentage Less} = \left(\frac{\text{Difference}}{\text{A's Salary}}\right) \times 100\% \]\[ \text{Percentage Less} = \left(\frac{16}{116}\right) \times 100\% \]\[ \text{Percentage Less} = \frac{1600}{116}\% \]\[ \text{Percentage Less} \approx 13.7931\% \]Rounding 13.7931% to two decimal places gives 13.79%.
A) 13.79% is the correct answer, as calculated.
This is a coding-decoding problem where letters are mapped to digits. We need to find the common letter(s) in the given words and their corresponding common digit(s) in the codes to establish the mapping.
Correct Option: A) 5
This problem involves tracking movements in different directions. We can solve this by breaking down Mr. D's journey into components along the North-South and East-West axes. We will calculate the net displacement in each direction from the starting point P to the final point Q and then determine the shortest distance and direction required to return to P.
C) 7 km towards the West. To reach Point P from Point Q, Mr. D must travel 7 km in the West direction.
The question asks to identify the correct statements regarding the Africa India Key Maritime Engagement (AIKEYME) exercise. We need to evaluate each statement based on factual information about the exercise.
Statements 1 and 3 are correct. Statement 2 is incorrect because the exercise was planned and conducted in Dar es Salaam, Tanzania, not Maputo, Mozambique.
This is a blood relation problem where symbols represent relationships. We need to decode the given expression step-by-step to determine the relationship between E and K.
Correct Option: A) Wife's father's sister's son
Based on the step-by-step decoding, E is the son of F, and F is the sister of G, who is the father of H, who is the wife of K. Therefore, E is K's wife's father's sister's son.
The question asks about India's trade structure under British colonial rule, specifically at the eve of Independence. This requires understanding the economic policies implemented by the British to serve their industrial interests and how they impacted India's role in global trade.
Correct Option: A) Export of raw materials, import of manufactured goods. This accurately describes the exploitative trade structure imposed by the British, where India served as a source of raw materials and a market for finished goods for the British industrial economy.
The problem provides a proportion and two equations relating the variables \(a\), \(b\), and \(c\). We need to use these given relationships to find the positive value of \(c\).
Understand the proportion: The notation \(a : b :: b : c\) means that \(a\) is to \(b\) as \(b\) is to \(c\). This can be written as a ratio:
\[ \frac{a}{b} = \frac{b}{c} \]Cross-multiplying this equation gives us:
\[ b^2 = ac \quad \text{(Equation 1)} \]Use the given values and equations: We are given two additional pieces of information:
Substitute the known values into Equation 1: Substitute \(b=6\) and \(c=9a\) into Equation 1:
\[ (6)^2 = a(9a) \] \[ 36 = 9a^2 \]Solve for \(a\): Divide both sides by 9:
\[ \frac{36}{9} = a^2 \] \[ 4 = a^2 \]Taking the square root of both sides, we get \(a = \pm 2\). Since the problem asks for a positive value of \(c\), and \(c=9a\), \(a\) must also be positive. So, \(a = 2\).
Find the value of \(c\): Now that we have \(a=2\), use Equation 2 to find \(c\):
\[ c = 9a \] \[ c = 9(2) \] \[ c = 18 \]The positive value of \(c\) is 18.
B) 18 — By correctly applying the properties of proportion and substituting the given values, we find that \(c = 18\).
Simplify the following:
1 \( \frac{4}{9} \) × 5 \( \frac{2}{9} \) × 324 + 9 \( \frac{3}{4} \)
To simplify the given expression, we need to convert the mixed fractions into improper fractions, perform the multiplication, and then add the last fraction. The order of operations (BODMAS/PEMDAS) should be followed, meaning multiplication is done before addition.
The given expression is \[1 \frac{4}{9} \times 5 \frac{2}{9} \times 324 + 9 \frac{3}{4}\].
First, convert each mixed fraction to an improper fraction:
\[ 1 \frac{4}{9} = \frac{(1 \times 9) + 4}{9} = \frac{9 + 4}{9} = \frac{13}{9} \]\[ 5 \frac{2}{9} = \frac{(5 \times 9) + 2}{9} = \frac{45 + 2}{9} = \frac{47}{9} \]\[ 9 \frac{3}{4} = \frac{(9 \times 4) + 3}{4} = \frac{36 + 3}{4} = \frac{39}{4} \]The expression becomes:
\[ \frac{13}{9} \times \frac{47}{9} \times 324 + \frac{39}{4} \]Multiply the first three terms:
\[ \frac{13}{9} \times \frac{47}{9} \times 324 = \frac{13 \times 47 \times 324}{9 \times 9} \]\[ = \frac{13 \times 47 \times 324}{81} \]We can simplify by dividing 324 by 81:
\[ 324 \div 81 = 4 \]Therefore, the multiplication simplifies to:\[ 13 \times 47 \times 4 \]\[ = 13 \times (47 \times 4) \]\[ = 13 \times 188 \]\[ = 2444 \]Now, add the result from the multiplication to the last fraction:
\[ 2444 + \frac{39}{4} \]Convert the fraction to a decimal:
\[ \frac{39}{4} = 9.75 \]So, the expression becomes:\[ 2444 + 9.75 = 2453.75 \]Correct Option: D) 2453.75