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A person is choosing between two mobile plans. Plan A: ₹50 monthly fee + ₹0.20 per minute of call time. Plan B: ₹30 monthly fee + ₹0.30 per minute of call time. For how many minutes of calling per month is Plan A cheaper than Plan B? For how many minutes is Plan B cheaper? Also find the number of minutes at which both plans cost the same.
Equating both monthly costs gives 50 + 0.20m = 30 + 0.30m, where m is the call duration in minutes. Simplifying yields 0.10m = 20, which gives m = 200 minutes for equal cost. For call durations under 200 minutes, Plan B is cheaper due to its lower fixed base fee. For call durations exceeding 200 minRead more
Equating both monthly costs gives 50 + 0.20m = 30 + 0.30m, where m is the call duration in minutes. Simplifying yields 0.10m = 20, which gives m = 200 minutes for equal cost. For call durations under 200 minutes, Plan B is cheaper due to its lower fixed base fee. For call durations exceeding 200 minutes, Plan A is cheaper due to its lower per-minute call rate.
For more NCERT Solutions of Class 9 Maths Ganita Manjari Part 2 Chapter 13 Two Variables, One Line Question Answer (2026-27)
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-13/
See lessGive a formula to find the x-intercept of the line y = mx + c.
The x-intercept is the point where a straight line crosses the horizontal x-axis, where the y-coordinate is always zero. Setting y = 0 in the slope-intercept equation y = mx + c gives 0 = mx + c. Subtracting c and dividing by the non-zero slope m yields x = −c/m. Thus, the formula for the x-intercepRead more
The x-intercept is the point where a straight line crosses the horizontal x-axis, where the y-coordinate is always zero. Setting y = 0 in the slope-intercept equation y = mx + c gives 0 = mx + c. Subtracting c and dividing by the non-zero slope m yields x = −c/m. Thus, the formula for the x-intercept is −c/m.
For more NCERT Solutions of Class 9 Maths Ganita Manjari Part 2 Chapter 13 Two Variables, One Line Question Answer (2026-27)
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-13/
See lessFind the point of intersection of the lines shown on the cover page.
The cover illustration depicts two linear intersecting paths corresponding to the equations x + y = 7 and x − y = 1. Adding both equations eliminates y, resulting in 2x = 8, which gives x = 4. Substituting x = 4 into x + y = 7 yields y = 3. Therefore, the two lines intersect at the coordinates (4, 3Read more
The cover illustration depicts two linear intersecting paths corresponding to the equations x + y = 7 and x − y = 1. Adding both equations eliminates y, resulting in 2x = 8, which gives x = 4. Substituting x = 4 into x + y = 7 yields y = 3. Therefore, the two lines intersect at the coordinates (4, 3).
For more NCERT Solutions of Class 9 Maths Ganita Manjari Part 2 Chapter 13 Two Variables, One Line Question Answer (2026-27)
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-13/
See lessSolve the following system of equations graphically: 2x + y = 6, 2x − y − 2 = 0.
Plot the first equation 2x + y = 6 using the points (0, 6) and (3, 0). Next, express the second equation as y = 2x − 2 and plot using points (0, −2) and (1, 0). Drawing straight lines through these pairs on a coordinate grid reveals that they intersect at the unique point (2, 2), giving the solutionRead more
Plot the first equation 2x + y = 6 using the points (0, 6) and (3, 0). Next, express the second equation as y = 2x − 2 and plot using points (0, −2) and (1, 0). Drawing straight lines through these pairs on a coordinate grid reveals that they intersect at the unique point (2, 2), giving the solution x = 2, y = 2.
For more NCERT Solutions of Class 9 Maths Ganita Manjari Part 2 Chapter 13 Two Variables, One Line Question Answer (2026-27)
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-13/
See lessProject: Find the volume of your house making necessary approximations. Present how you solved it.
To determine the volume of a house, treat each room as an individual rectangular cuboid. Measure or estimate the length, width and ceiling height of each space. For a single-story house with total carpet dimensions 12 m by 10 m and ceiling height 3 m, interior volume is 12 × 10 × 3 = 360 m³. If a piRead more
To determine the volume of a house, treat each room as an individual rectangular cuboid. Measure or estimate the length, width and ceiling height of each space. For a single-story house with total carpet dimensions 12 m by 10 m and ceiling height 3 m, interior volume is 12 × 10 × 3 = 360 m³. If a pitched roof exists, add the triangular prism attic volume to complete the calculation.
For more NCERT Solutions of Class 9 Maths Ganita Manjari Part 2 Chapter 14 Math of Space: Surface Area and Volume Question Answer (2026-27)
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-14/
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