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%

What is the total foreign investment (in ₹ crore) in ‘Others’ sector in all the seven states together?

Answer: C. 3705ConceptWhen the same percentage applies to several quantities, first add the quantities and then apply that common percentage. This uses the distributive…

  1. A.

    3297

  2. B.

    3505

  3. C.

    3705

  4. D.

    3905

Attempted by 6 students.

Show answer & explanation

Correct answer: C

Concept

When the same percentage applies to several quantities, first add the quantities and then apply that common percentage. This uses the distributive rule: p% of (a + b + ...) equals p% of a plus p% of b plus ... .

Convert a percentage p% to p/100 before multiplying. Keeping the common percentage outside the sum reduces repeated arithmetic.

Application

  1. Add the seven state investments: 3120 + 3560 + 3940 + 1380 + 1460 + 1660 + 3880 = 19000 crore rupees.

  2. The share for the Others sector is 19.5%, so write it as 19.5/100.

  3. Apply the percentage to the combined investment: 19000 × 19.5/100 = 190 × 19.5 = 3705 crore rupees.

Cross-check

Use 19.5% = 20% - 0.5%. Now 20% of 19000 is 3800 and 0.5% of 19000 is 95; therefore 3800 - 95 = 3705.

Therefore, the total foreign investment in the Others sector is 3705 crore rupees.

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