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Shashank Shah

· started a discussion

· 1 Months ago

The given explanation is not clear.

Question:

Selling price of a shirt and a coat is Rs.4000. The cost price of the shirt is 58.33% of the cost price of the coat and the amount of profit on both, the shirt and the coat, is same, then the price of the shirt could be:

Options:
A) Rs.2100 
B) Rs.2525  
C) Rs.2499
D) Rs.1120
Solution:
Ans: (d)


Alternate method

 The cost price of shirt will be less than the cost price of coat. Hence, on going through options, we can conclude that option (d), i.e., Rs 1120 is the correct option.


Knowledge Expert

· commented

· 1 Months ago

Dear Student,
CP of Coat = x then CP of Shirt = 7x/12
SP of Coat= x+y and SP of Shirt= 7x/12+ y where y is the amount of profit
Then ATQ,

19x/12 + 2y = 4000

Since, here two variables and one equation so you can find the value x only HIT and Trial Method.

HERE.....................CHOOSE ONLY THT OPTION WHICH GIVES LESS THAN 4000 FIGURE WHICH IS SP.
SO IF 1120 OPTION HAS GIVEN THEN................. 58.33 = 58 1/3 = 175/3
1120*300/175 = 1920
CP = 1920+1120 = 3040
SP = 4000
SO 4000>3040
OTHER OPTION WILL NOT SATISFIED SUCH A CONDITION......THT'S IT

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