Download App

Linear Equations In Two Variables — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsLinear Equations In Two Variables5 Marks
Question
A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Mona paid ₹ 27 for a book kept for 7 days, while Tanvy paid ₹ 21 for the book she kept for 5 days. Find the fixed charge and the charge for each extra day.
✓

Answer

Let the fixed charge be ₹ x and the extra charge per day be ₹ y.
Given that,
Mona paid ₹ 27 for a book kept for 7 days,
⇒ x + 4y = 27 ...(i)
Given that,
Tanvy paid ₹ 21 for a book kept for 5 days,
⇒ x + 2y = 21 ...(ii)
Subtracting (ii) from (i), we get
⇒ 2y = 6
⇒ y = 3
Substituting y = 3 in (ii), we get
⇒ x = 15.
Hence, the fixed charge is ₹ 15 and the charge per day is ₹ 3.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "5 Marks Questions" from Linear Equations In Two Variables→Linear Equations In Two Variables — all question types→Maths STD 10 question papers→CBSE Board STD 10 question papers→CBSE Board question paper generator→

Similar questions

From a solid cylinder of height 2.8cm and diameter 4.2cm, conical cavity of the same height and same diameter is hollowed out. Find the total surface area of the remaining solid.
→
Divide 16 into two parts such that twice the square of the larger part exceeds the square of the smaller part by 164.
→
The sum of the areas of two squares is $640 m^2$. If the difference of their perimeters is 64 m, find the sides of the square.
→
Construct a tangent to a circle of radius 4cm from a point on the concentric circle of radius 6cm and measure its length. Also, verify the measurement by actual calculation.
→
A cylindrical bucket of height 32cm and base radius 18cm is filled with sand. This bucket is emptied on the ground and a conical heap of sand is formed. If the height of the conical heap is 24cm, find the radius and slant height of the heap.
→
Two water taps together can fill a tank in 6 hours. The tap of larger diameter takes 9 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.
→
The sum of the reciprocals of Meena's ages (in years) 3 years ago and 5 years hence is $\frac{1}{3}.$ Find her present age.
→
Two chords AB and CD of a circle intersect at a point P outside the ciecle. Prove that.
  1. $\triangle\text{PAC}\sim\triangle\text{PDB}$
  2. $\text{PA}.\text{PB}=\text{PC}.\text{PD}$
→
Draw a circle of radius 3cm. Draw a tangent to the circle making an angle of 30° with a line passing through the centre.
→
Solve the following equations by using the method of completing the square:
$\text{x}^2-\big(\sqrt2+1\big)\text{x}+\sqrt2=0$
→