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Rehana went to a bank to… (Class 10 Maths 2024, Q28)

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MathsCBSE Class 10 · Standard · Board exam 2024, set 30/4/1 · 3 marks · Short answer

CBSE Class 10 Mathematics Standard 2024: question 28

Set in the CBSE Class 10 board exam of 2024, paper 30/4/1, section C, question 28, for 3 marks. Try it first; the hints and our step-by-step solution are below.

Q28 · 3 marks · Short answerCompetency-basedPair of Linear Equations in Two Variables

Rehana went to a bank to withdraw ₹ 2,000. She asked the cashier to give her ₹ 50 and ₹ 100 notes only. Rehana got 25 notes in all. Find how many notes of ₹ 50 and ₹ 100 did she receive.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2024 board paper, set 30/4/1.

Hints

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

Hint 1

Use two variables: one for each type of note.

Hint 2

One equation counts the notes, the other counts the money; solve them together.

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. Let the number of ₹50 notes be and of ₹100 notes be . Total notes: ...(i)

    1 mark

  2. Total amount: ...(ii)

    1 mark

  3. Subtracting (i) from (ii): ; then . So she received 10 notes of ₹50 and 15 notes of ₹100.

    1 mark

Answer: 10 notes of ₹50 and 15 notes of ₹100

Where the marks are

  • Forms x + y = 25 (1 mark)
  • Forms 50x + 100y = 2000 i.e. x + 2y = 40 (1 mark)
  • Solves: x = 10, y = 15 (½ + ½ marks)

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 paper2024 board paper, set 30/4/1 (Standard): 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.