Answer

Verified

424.5k+ views

Hint:- Here we use the formula of profit. If an item costs Rs x and shopkeeper sells it at profit of y% then selling price of that item will be x + \[\dfrac{{\text{y}}}{{{\text{100}}}}{\text{*x}}\] = Rs x*\[\left( {\dfrac{{{\text{100 + y}}}}{{{\text{100}}}}} \right)\].

Complete step-by-step answer:

As it is given in question that cost of trouser per metre is Rs 90.

And profit on trouser per metre is 10%.

So, cost of trouser per metre including profit will be Rs 90*\[\left( {\dfrac{{{\text{100 + 10}}}}{{{\text{100}}}}} \right)\] = Rs 90*1.1 = Rs 99.

As it is given in the question that the cost of a shirt per metre is Rs 50.

And profit on shirt per metre is 12%.

So, cost of shirt per metre including profit will be Rs 50*\[\left( {\dfrac{{{\text{100 + 12}}}}{{{\text{100}}}}} \right)\] = Rs 50*1.12 = Rs 56.

As it is given in the question that Hasan buys 3 metres of shirt for every 2 metres of trouser.

So, cost of each pair including profit will be Rs (3*56 + 2*99) = Rs 366.

And it is given that Hasan total sale is Rs 36600.

So, the number of pairs Hasan has sold will be equal to the total sale divided by the selling cost of one pair.

So, total pairs Hasan had sold = \[\dfrac{{{\text{36600}}}}{{{\text{366}}}}\] = 100.

As we know that in one pair there are 2 metres of trousers and 3 metres of shirt.

So, the length of trouser material Hasan had bought will be equal to two times the number of pairs Hasan had sold.

So, length of trouser material Hasan had brought will be 2*100 metres = 200 metres.

Hence, the correct option will be D.

Note:- Whenever we come up with this type of problem then first, we find the total profit on each pair of cloth. And then after that we will find the selling price of cloth for each pair. After that we can divide the total sale price with the selling price of one pair to get the number of pairs sold. After that we can easily get the length of trouser by multiplying the number of pairs with the length of trouser in one pair.

Complete step-by-step answer:

As it is given in question that cost of trouser per metre is Rs 90.

And profit on trouser per metre is 10%.

So, cost of trouser per metre including profit will be Rs 90*\[\left( {\dfrac{{{\text{100 + 10}}}}{{{\text{100}}}}} \right)\] = Rs 90*1.1 = Rs 99.

As it is given in the question that the cost of a shirt per metre is Rs 50.

And profit on shirt per metre is 12%.

So, cost of shirt per metre including profit will be Rs 50*\[\left( {\dfrac{{{\text{100 + 12}}}}{{{\text{100}}}}} \right)\] = Rs 50*1.12 = Rs 56.

As it is given in the question that Hasan buys 3 metres of shirt for every 2 metres of trouser.

So, cost of each pair including profit will be Rs (3*56 + 2*99) = Rs 366.

And it is given that Hasan total sale is Rs 36600.

So, the number of pairs Hasan has sold will be equal to the total sale divided by the selling cost of one pair.

So, total pairs Hasan had sold = \[\dfrac{{{\text{36600}}}}{{{\text{366}}}}\] = 100.

As we know that in one pair there are 2 metres of trousers and 3 metres of shirt.

So, the length of trouser material Hasan had bought will be equal to two times the number of pairs Hasan had sold.

So, length of trouser material Hasan had brought will be 2*100 metres = 200 metres.

Hence, the correct option will be D.

Note:- Whenever we come up with this type of problem then first, we find the total profit on each pair of cloth. And then after that we will find the selling price of cloth for each pair. After that we can divide the total sale price with the selling price of one pair to get the number of pairs sold. After that we can easily get the length of trouser by multiplying the number of pairs with the length of trouser in one pair.

Recently Updated Pages

The branch of science which deals with nature and natural class 10 physics CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Define absolute refractive index of a medium

Find out what do the algal bloom and redtides sign class 10 biology CBSE

Prove that the function fleft x right xn is continuous class 12 maths CBSE

Find the values of other five trigonometric functions class 10 maths CBSE

Trending doubts

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

What is BLO What is the full form of BLO class 8 social science CBSE

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

Difference Between Plant Cell and Animal Cell

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Mule is a offspring of A Cross breeding B Interspecific class 11 biology CBSE

Select the word that is correctly spelled a Twelveth class 10 english CBSE

a Tabulate the differences in the characteristics of class 12 chemistry CBSE

Fill the blanks with proper collective nouns 1 A of class 10 english CBSE