Skip to content

A lending library has a… (Class 10 Maths Basic 2023, Q28A)

questionbuddy.in/q/cbse-10-maths-2023-430-4-1-q28a-lending-library-fixed-charge-first

MathsCBSE Class 10 · Basic · Board exam 2023, set 430/4/1 · 3 marks · Short answer

CBSE Class 10 Mathematics Basic 2023: question 28(A)

Set in the CBSE Class 10 board exam of 2023, paper 430/4/1, section C, question 28(A), for 3 marks. Try it first; the hints and our step-by-step solution are below.

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

A lending library has a fixed charge for first three days and an additional charge for each day thereafter. Rittik paid ₹ for a book kept for days and Manmohan paid ₹ for a book kept for days. Find the fixed charges and the charge for each extra day.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2023 board paper, set 430/4/1.

Hints

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

Hint 1

The fixed charge covers the first 3 days; count only the remaining days as extra.

Hint 2

7 days gives 4 extra days, 5 days gives 2 extra days; form two equations and subtract.

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 fixed charge (first 3 days) be ₹ and charge per extra day be ₹. Rittik: 7 days = 3 + 4 extra days, so ...(1)

    1 mark

  2. Manmohan: 5 days = 3 + 2 extra days, so ...(2)

    1 mark

  3. Subtracting (2) from (1): ; then

    1 mark

  4. Fixed charge = ₹15, charge for each extra day = ₹3.

Answer: Fixed charge ₹15; extra charge ₹3 per day

Where the marks are

  • Forms (1 mark)
  • Forms (1 mark)
  • Solves , (½ + 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 paper2023 board paper, set 430/4/1 (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.