Question

If the cost of 1 meter cloth is Rs. 75.36, find the cost of 7.25 meters of cloth.

Answer 1

Hint: Here we will simply use the unitary method to get the desired answer i.e. we will simply multiply the cost of 1 meter cloth with 7.25 meters of cloth to get its cost.

Complete step-by-step answer:
It is given that,
The cost of 1 meter cloth is Rs. 75.36.
We have to find the cost of 7.25 meters of cloth.
Hence we have to multiply the cost of 1 meter cloth to 7.25 to get the desires cost.
Hence on multiplying we get:-
\[{\text{cost of 7}}{\text{.25 m cloth}} = 75.36 \times 7.25\]Rs.
Converting the decimals into fractions we get:-
\[{\text{cost of 7}}{\text{.25 m cloth}} = \dfrac{{7536}}{{100}} \times \dfrac{{725}}{{100}}\]
Multiplying the terms we get:-
\[{\text{cost of 7}}{\text{.25 m cloth}} = \dfrac{{{\text{5,463,600}}}}{{10000}}\]
Simplifying it further we get:-
\[{\text{cost of 7}}{\text{.25 m cloth}} = \dfrac{{{\text{54636}}}}{{100}}\]
Now again converting the fraction back into decimal we get:-
\[{\text{cost of 7}}{\text{.25 m cloth}} = 546.36\]Rs.

Hence the cost of 7.25m cloth is Rs. 546.36

Note: Students should note that when a number is divided by any power of 10 then the decimal point of the number gets shifted to the left by the number of decimal points equal to the power of 10 and when a number is multiplied by any power of 10 then the decimal point of the number gets shifted to the right by the number of decimal points equal to the power of 10.