A shopkeeper gives books on rent for reading. | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Let the fixed charge for the first two days be $Rs. x$ and the additional charge for each day thereafter be $Rs. y$.According to the first conditi

Vedclass · Accepted Answer

$10, 3$

Vedclass · Answer

(B) Let the fixed charge for the first two days be $Rs. x$ and the additional charge for each day thereafter be $Rs. y$.According to the first condition,Latika paid $Rs. 22$ for a book kept for six days (first $2$ days + $4$ extra days):$x + 4y = 22$  --- $(i)$According to the second condition,Anand paid $Rs. 16$ for a book kept for four days (first $2$ days + $2$ extra days):$x + 2y = 16$  --- $(ii)$Subtracting equation $(ii)$ from equation $(i)$:$(x + 4y) - (x + 2y) = 22 - 16$$2y = 6$$y = 3$Substituting $y = 3$ in equation $(ii)$:$x + 2(3) = 16$$x + 6 = 16$$x = 10$Thus,the fixed charge is $Rs. 10$ and the charge for each extra day is $Rs. 3$.

Similar Questions

The sum of the present age of a father and twice the present age of a son is $70$ years. Also,the sum of twice the present age of father and the present age of son is $95$ years. Find their present ages.

Solve the following pairs of linear equations: $\frac{5}{a} - \frac{6}{b} = 3$ and $\frac{1}{a} + \frac{4}{b} = 11$.

If $(x, -1)$ is the solution of the linear equation of two variables $3x - y = 7$,then $x = \ldots$

Solve the following pair of linear equations by the method of substitution: $5x - 3y = 1$ and $2x + 5y = 19$.

$A$ boat goes $32 \, km$ upstream and $36 \, km$ downstream in $7$ hours. In $9$ hours,it can go $40 \, km$ upstream and $48 \, km$ downstream. Determine the speed of the stream and that of the boat in still water. (Speed of boat in still water is more than the speed of the stream of river.)

Vedclass Test Series

Exam Paper Generator

Online Exam Module