
Ganga went to a tailor with 1 mt. cloth. She asked him to make a blouse for her. The tailor used 0.75 mts of cloth to make the blouse and returned the remaining cloth to Ganga. What percentage of cloth is used in making the blouse?
(a) 50
(b) 75
(c) 25
(d) 80
Answer
510.9k+ views
Hint: We start solving the problem by recalling the definition of calculation of percentage. We first determine what is the numerator and denominator to be used in order to calculate the percentage. We then make necessary calculations and multiply the obtained result with 100 to get the final desired percentage.
Complete step-by-step answer:
According to the problem, we have given that Ganga went to a tailor with 1 mt. cloth and asked him to make a blouse. The tailor used 0.75 meters of cloth to make the blouse and returned the remaining cloth to ganga. We need to find the percentage of cloth used in making the blouse.
According to the problem, we can see that the tailor used 0.75 meters of cloth out of 1 mt. cloth to make blouses. So, this makes us find what is the percentage of 0.75 meters in 1 mt. of cloth.
We know that the percentage of a in b $\left( a < b \right)$ is determined as $\dfrac{a}{b}\times 100\%$. We use this to find the required percentage.
We have $\dfrac{0.75}{1}\times 100\%$.
$\Rightarrow 0.75\times 100\%$.
$\Rightarrow 75\%$.
We have found the percentage of cloth used to make blouses is 75%.
∴ The percentage of cloth used to make blouses is 75%.
The correct option for the given problem is (b).
Note: We should not confuse the length of used cloth with the length of returned cloth. We can see that the sum of percentages of the return cloth and used cloth will be equal to 100%. We can even find the length of the used cloth if the length of the returned cloth is mentioned in the problem. Similarly, we can expect problems to find the length of returned cloth and percentage of the returned cloth.
Complete step-by-step answer:
According to the problem, we have given that Ganga went to a tailor with 1 mt. cloth and asked him to make a blouse. The tailor used 0.75 meters of cloth to make the blouse and returned the remaining cloth to ganga. We need to find the percentage of cloth used in making the blouse.
According to the problem, we can see that the tailor used 0.75 meters of cloth out of 1 mt. cloth to make blouses. So, this makes us find what is the percentage of 0.75 meters in 1 mt. of cloth.
We know that the percentage of a in b $\left( a < b \right)$ is determined as $\dfrac{a}{b}\times 100\%$. We use this to find the required percentage.
We have $\dfrac{0.75}{1}\times 100\%$.
$\Rightarrow 0.75\times 100\%$.
$\Rightarrow 75\%$.
We have found the percentage of cloth used to make blouses is 75%.
∴ The percentage of cloth used to make blouses is 75%.
The correct option for the given problem is (b).
Note: We should not confuse the length of used cloth with the length of returned cloth. We can see that the sum of percentages of the return cloth and used cloth will be equal to 100%. We can even find the length of the used cloth if the length of the returned cloth is mentioned in the problem. Similarly, we can expect problems to find the length of returned cloth and percentage of the returned cloth.
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