Question

If the cost of 5 meters cloth is Rs. 48, then cost of 23 meters cloth is Rs.220.80. If true enter 1 and if false then enter 0.

Answer 1

Hint:The cost of 5 meters cloth is given. From here first calculate the cost of one meter cloth. Multiply the cost of one meter cloth by 23 then you will get the cost of 23 meters cloth.

Complete step-by-step answer:
The cost of 5 meter cloth is Rs. 48
Dividing Rs. 48 by 5 we will get the cost of 1 meter cloth.
So the cost of 1 meter cloth is Rs. $\dfrac{{48}}{5} = {\text{Rs}}{\text{. }}9.60.$
If we multiply the cost of 1 meter cloth by 23 we will get the cost of 23 meters cloth.
So the cost of 23 meters cloth is Rs. $9.60 \times 23 = {\text{Rs}}{\text{. }}220.80.$
As the cost of 23 meters cloth is Rs. 220.80 so it is true
Hence the given statement is true we have to enter 1.

Additional information:In this type of problem unitary method is used. The unitary method is a technique for solving a problem which tells to find the value of a single unit and then to find the necessary value by multiplying the single unit value.

Note:
We could find the cost of 23 meters cloth by ratio proportion method also. The cost of 23 meters cloth is Rs. $x$. Then $48:5::x:23.$
Rewriting we get $48:5::x:23 \Rightarrow \dfrac{{48}}{5} = \dfrac{x}{{23}}.$
Solving for $x$, we have, $x = \dfrac{{48 \times 23}}{5}.$
After simplification, $x = 220.80.$
So the cost of 23 meters cloth is Rs. 220.80.
So it is true. You have to enter 1.