Download App

MODEL PAPER 8 (STANDARD) — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsMODEL PAPER 8 (STANDARD)5 Marks
Question
A leading library has a fixed charge for the first three days and an additional charge for each day thereafter Sarika paid $₹ 27$ for a book kept for seven days, while Sury paid $₹ 21$ for the book she kept for five days, find the fixed charge and the charge for each extra day
✓

Answer

Let the fixed charge be $Rs. x$ and additional charge by $Rs. y$. According to question,
$x+(7-3) y=27$
or $x+4 y=27 \ldots .(i)$
and $x+(5-3) y=21$
$x+2 y=21 \ldots \text { (ii) }$
On substracting $(i)$ and $(ii),$ we get
$2 y=6$
$y=3$
putting $y$ in $(i),$
$x+4(3)=27$
$x=15$
$\therefore x=\text { Rs. } 15$ and $y=\text { Rs. } 3$
$\therefore$ Fixed charge $= Rs. 15$
$\therefore$ Charge for each extra day $= Rs. 3$

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 MODEL PAPER 8 (STANDARD)→MODEL PAPER 8 (STANDARD) — all question types→Maths STD 10 question papers→CBSE Board STD 10 question papers→CBSE Board question paper generator→

Similar questions

Find the coordinates of the points which divide the line segment joining the points (-4, 0) and (0, 6) in four equal parts.
→
Prove the following trigonometric identities.
$\frac{\cot^2\text{A}(\sec\text{A}-1)}{1+\sin\text{A}}=\sec^2\text{A}\Big(\frac{1-\sin\text{A}}{1+\sin\text{A}}\Big)$
→
In a trapezium $ABCD , AB \| DC$ and $DC =2 AB . EF \| AB$, where $E$ and $F$ lie on $BC$ and $AD$ respectively such that $\frac{B E}{E C}=\frac{4}{3}$. Diagonal $DB$ intersects $EF$ at $G$ . Prove that, $7 EF =11 AB$.
→
Draw a right triangle ABC in which AC = AB = 4.5cm and $\angle\text{A} = 90^\circ.$ Draw a triangle similar to $\triangle\text{ABC}$ with its sides equal to $\Big(\frac{5}{4}\Big)^\text{th}$ of the corresponding sides of $\triangle\text{ABC}.$
→
Write the next term of the $\text{AP}\sqrt{8},\sqrt{18},\sqrt{32},....$
→
In the given figure, ABCD is a square of side 4cm. A quadrant of a circle of radius 1cm is drawn at each vertex of the square and a circle of diameter 2cm is also drawn. Find the area of the shaded region.
→
Taxi charges in a city consist of fixed charges and the remaining depending upon the distance travelled in kilometres. If a man travels 80km, he pays ₹ 1,330, and travelling 90km, he pays ₹ 1,490. Find the fixed charges and rate per km.
→
Two vertical poles of height 9m and 14m stand on a plane ground. If the distance between their feet is 12m, find the distance between their tops.
→
A guy wire attached to a vertical pole of height 18m is 24m long has a stake attached to the other end. How far from the base of pole should the stake be driven so that the wire will be taut?
→
If $3\cos\theta − 4 \sin \theta = 2 \cos \theta + \sin \theta$ find $\tan\theta.$
→