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At a garments shop, Ramesh can buy 2 trousers and 4 shirts for an amount of Rs. 1,600 or he can buy 1 trouser and 6 shirts for exactly the same amount of Rs. 1,600. What will be his bill amount, if he buys only 12 shirts?

At a garments shop, Ramesh can buy 2 trousers and 4 shirts for an amount of Rs. 1,600 or he can buy 1 trouser and 6 shirts for exactly the same amount of Rs. 1,600. What will be his bill amount, if he buys only 12 shirts? Correct Answer Rs. 2,400

Let the price of each trouser be x and, 

Let the price of each shirt be y

As, Ramesh can buy 2 trousers and 4 shirts for an amount of Rs. 1,600 

So, 2x + 4y = 1600...........(1)

and, he buys 1 trouser and 6 shirts for exactly the same amount of Rs. 1,600.

So, x + 6y = 1600..............(2)

From equation (2)

x + 6y = 1600

x =  1600 - 6y

Putting this value of x in equation (1)

2x + 4y = 1600

⇒ 2(1600 - 6y) + 4y = 1600

⇒ 3200 - 12y + 4y =1600 

⇒ -8y = 1600 - 3200

⇒ -8y = -1600

⇒ y = 1600 ÷ 8

⇒ y = 200

So, Cost of one shirt = y = Rs. 200

Therefore, Cost of 12 shirts = 12 × 200 = Rs. 2400

Hence, "Rs. 2400" is the correct answer.

Related Questions

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S1: A man handed a pair of trousers to the departmental store-clerk and said,"I'd like these altered, please".
P: He said that free alteration is not possible without a receipt.
Q: The man said,"Okay, I'd like to return the trousers". The clerk took them back and returned his money.
R: The man pushed the money and said,"Now I want to buy them". The clerk put the trousers in a bag, issued receipt and handed him both.
S: The clerk asked for the sales receipt but after searching his pockets the man replied that he had lost it.
S6: Triumphantly he put the trousers and the receipt on the counter and said,'I'd like to have these altered, please."

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