# Sushma bought a saree from the mall. She paid Rs.2640 for it. When she came home she measured the length of the saree, she found that the saree was half meter less in length then what the shopkeeper had told her. She found that she is at a loss of Rs.220 because of this. What is the length of the saree she bought home?

Last updated date: 25th Mar 2023

•

Total views: 306.3k

•

Views today: 8.84k

Answer

Verified

306.3k+ views

Hint: Sushma had a loss of 220 meters because the saree is half meter less than what she thought. So half a meter of saree caused her that loss.

Complete step-by-step answer:

Let ‘x’ meters be the length of the saree that the shopkeeper told to Sushma.

Then the length of the saree that she bought home = $x - \dfrac{1}{2}\;meters$.

From the given information, we can found that

The cost of half meter of that saree = Rs.220

Let’s find the cost of one meter of saree, to find the total length of saree.

Then cost of one meter of saree = $Rs.220 \times 2 = Rs.440$

Total cost of saree will be equal to 440x.

The total amount that she paid for ‘x’ meter saree = Rs.2640

$$ \Rightarrow 440x = 2640$$

Finding the total length of the saree = $\dfrac{{Total\;\cos t}}{{\operatorname{Cos} t\;per\;meter}}$

$$ \Rightarrow $$ The length of saree x = $$\dfrac{{2640}}{{440}} = 6$$

Therefore, the length of saree that the shopkeeper told is 6 meters.

$$ \Rightarrow x - \dfrac{1}{2} = 6 - \dfrac{1}{2} = \dfrac{{11}}{2} = 5.5$$ meters.

$$\therefore $$ The length of saree that Sushma bought home is 5.5 meters.

Note: We need to clearly understand the logic in the given question. Here the logic in this question is the cost of half meter of the saree is Rs.220. We know the total price of saree. Then we easily found the length of the saree.

Complete step-by-step answer:

Let ‘x’ meters be the length of the saree that the shopkeeper told to Sushma.

Then the length of the saree that she bought home = $x - \dfrac{1}{2}\;meters$.

From the given information, we can found that

The cost of half meter of that saree = Rs.220

Let’s find the cost of one meter of saree, to find the total length of saree.

Then cost of one meter of saree = $Rs.220 \times 2 = Rs.440$

Total cost of saree will be equal to 440x.

The total amount that she paid for ‘x’ meter saree = Rs.2640

$$ \Rightarrow 440x = 2640$$

Finding the total length of the saree = $\dfrac{{Total\;\cos t}}{{\operatorname{Cos} t\;per\;meter}}$

$$ \Rightarrow $$ The length of saree x = $$\dfrac{{2640}}{{440}} = 6$$

Therefore, the length of saree that the shopkeeper told is 6 meters.

$$ \Rightarrow x - \dfrac{1}{2} = 6 - \dfrac{1}{2} = \dfrac{{11}}{2} = 5.5$$ meters.

$$\therefore $$ The length of saree that Sushma bought home is 5.5 meters.

Note: We need to clearly understand the logic in the given question. Here the logic in this question is the cost of half meter of the saree is Rs.220. We know the total price of saree. Then we easily found the length of the saree.

Recently Updated Pages

If ab and c are unit vectors then left ab2 right+bc2+ca2 class 12 maths JEE_Main

A rod AB of length 4 units moves horizontally when class 11 maths JEE_Main

Evaluate the value of intlimits0pi cos 3xdx A 0 B 1 class 12 maths JEE_Main

Which of the following is correct 1 nleft S cup T right class 10 maths JEE_Main

What is the area of the triangle with vertices Aleft class 11 maths JEE_Main

The coordinates of the points A and B are a0 and a0 class 11 maths JEE_Main

Trending doubts

Write an application to the principal requesting five class 10 english CBSE

Tropic of Cancer passes through how many states? Name them.

Write a letter to the principal requesting him to grant class 10 english CBSE

List out three methods of soil conservation

Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE

Write a letter to the Principal of your school to plead class 10 english CBSE

What is per capita income

Change the following sentences into negative and interrogative class 10 english CBSE

A Short Paragraph on our Country India