Table-1 below shows the state-wise foreign investments (in ₹ crore) in the…
2023
Table-1 below shows the state-wise foreign investments (in ₹ crore) in the year 2022 and Table-2 shows the percentage (%) distribution of investments in different sectors for each state. Based on the data in the tables, answer the questions that follow.
Table-1: State-wise Details of Foreign Investment
State | Foreign Investment (in ₹ Crore) |
|---|---|
Rajasthan | 3120 |
Madhya Pradesh (MP) | 3560 |
Gujarat | 3940 |
Tamil Nadu (TN) | 1380 |
Andhra Pradesh (AP) | 1460 |
Delhi | 1660 |
Haryana | 3880 |
Table-2: Sector-wise Distribution of Investment for Each State
Defence | Telecom | Insurance | Pharmaceuticals | Construction | Others |
|---|---|---|---|---|---|
25.6% | 13.5% | 18.5% | 8.5% | 14.4% | 19.5% |
For which of the following pairs of states is the ratio of foreign investment in the Defence sector 52 : 23?
Answer: A. Rajasthan, TN — ConceptWhen every compared quantity is multiplied by the same non-zero percentage, their ratio remains the ratio of the original quantities because the common…
- A.
Rajasthan, TN
- B.
Haryana, TN
- C.
MP, AP
- D.
MP, TN
Show answer & explanation
Correct answer: A
Concept
When every compared quantity is multiplied by the same non-zero percentage, their ratio remains the ratio of the original quantities because the common factor cancels.
For a sector receiving p% in every state, sector investment = total investment × p/100; compare a pair by forming this ratio and simplifying.
Application
The Defence share is 25.6% for every state, so the common factor 25.6/100 cancels from each pairwise ratio.
For Rajasthan and Tamil Nadu, the Defence-investment ratio is (3120 × 25.6/100) : (1380 × 25.6/100) = 3120 : 1380.
Divide both terms by 60: 3120 : 1380 = 52 : 23.
Cross-check
Direct calculation gives ₹798.72 crore and ₹353.28 crore; dividing both by 15.36 again gives 52 : 23.
Result
The required pair is Rajasthan and Tamil Nadu.