In 2021, students getting employment in Hardware earned ₹ _______ lakhs more…
2024
In 2021, students getting employment in Hardware earned ₹ _______ lakhs more than those getting employment in Software Development (per annum).
Answer: B. 337.92 — Concept — turning a percentage table into money A percentage-distribution table gives shares rather than head-counts. The calculation rests on these linked…
- A.
430
- B.
337.92
- C.
284.12
- D.
324.3
Show answer & explanation
Correct answer: B
Concept — turning a percentage table into money
A percentage-distribution table gives shares rather than head-counts. The calculation rests on these linked quantities:
Students in an employment area = (area percentage ÷ 100) × batch strength.
Annual group earnings = number of students × average monthly salary × 12; divide rupees by 1,00,000 to express the result in lakh.
Application — the 2021 batch
The 2021 batch strength is 1,100 students (the pass-out totals for 2019–2023 are 800, 600, 1,100, 1,200 and 1,000).
Hardware took 23% of that batch: 23 ÷ 100 × 1,100 = 253 students, at an average of ₹75,500 per month.
Software Development took 21% of the same batch: 21 ÷ 100 × 1,100 = 231 students, at an average of ₹70,500 per month.
Hardware earnings for the year = 253 × 75,500 × 12 = ₹22,92,18,000, that is 2292.18 lakh.
Software Development earnings for the year = 231 × 70,500 × 12 = ₹19,54,26,000, that is 1954.26 lakh.
Excess earned by Hardware = 2292.18 − 1954.26 = 337.92 lakh.
2021 | Hardware | Software Development |
|---|---|---|
Share of the batch | 23% | 21% |
Students (out of 1,100) | 253 | 231 |
Average salary per month | ₹75,500 | ₹70,500 |
Earnings for the year | ₹22,92,18,000 (2292.18 lakh) | ₹19,54,26,000 (1954.26 lakh) |
Cross-check — subtract first, then annualise
Doing it the other way round gives the same figure: in one month the two groups earn 253 × 75,500 = ₹1,91,01,500 and 231 × 70,500 = ₹1,62,85,500, a monthly gap of ₹28,16,000; over 12 months that is ₹3,37,92,000, which is 337.92 lakh. Both routes agree, so the ×12 annualisation and the ₹1,00,000-per-lakh conversion have each been applied exactly once.
Hardware therefore earned ₹337.92 lakh more than Software Development in 2021.