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On a particular… (Class 10 Maths Basic SQP 2025-26, Q29A)

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MathsCBSE Class 10 · Basic · Sample paper, session 2025-26 · 3 marks · Short answer

CBSE Class 10 Mathematics Basic sample paper 2025-26: question 29(A)

From the official CBSE sample question paper for 2025-26, section C, question 29(A), for 3 marks. Try it first; the hints and our step-by-step solution are below.

Q29(A) · 3 marks · Short answerCompetency-basedPair of Linear Equations in Two Variables

On a particular day, 50000 people attended a Cricket Test Match between India and Australia in Sydney Cricket Ground. Let be the number of adults attended the cricket match and be the number of children attended the cricket match. Cost of an adult ticket was ₹1000 while cost of a child ticket was ₹200. On that day Revenue earned by selling all 50,000 tickets, was ₹4,20,00,000. Find how many adults and how many children attended the cricket match?

Source: official sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2025-26.

Hints

Open one hint at a time and try again before the next.

Hint 1

Write one equation for the number of people and one for the money collected.

Hint 2

Divide the revenue equation by 200 and then subtract the other equation.

Step-by-step solution

Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.

  1. Revenue: ...(1)

    1 mark

  2. Total people: ...(2)

    ½ mark

  3. (1) − (2):

    1 mark

  4. From (2): . So 40000 adults and 10000 children attended.

    ½ mark

Answer: Adults = 40000, Children = 10000

Where the marks are

  • Forms revenue equation (1 mark)
  • Forms (½ mark)
  • Solves to get (1 mark)
  • Gets (½ mark)

Revise the chapter

Practise this chapterBoard-style questions from Pair of Linear Equations in Two Variables, one at a time, marked against the answer key and marking points.Back to the full paperSample paper 2025-26 (Basic): every question, by section.

The question is transcribed from the official paper; figures are described in words. The solution, hints and chapter tag are ours. Spotted an error? Write tosupport@questionbuddy.in.