Question

Mona got 2 dresses for 1648 she is sold one at the profit of 15% and other at loss of 9% if she got the same amount for each dress then find the cost price of each of the dresses​

Answer 1

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Given :-

2 dresses for 1648 she is sold one at the profit of 15% and other at loss of 9% if she got the same amount for each dress.

To find :-

The cost price of each of the dresses.

Solution :-

Let,

X is the price of first dress.

cost of second dress is (1648 - X)

Selling price of first dress = X x 115/100 (selling price = cost of dress 100% + profit 15%)

Selling price of second dress = (1640 - X) x 91/100 (selling price = cost of dress 100% - loss 9%)

Selling price of 1st dress = Selling price of second dress

X x 115/100 = (1648 - X) x 91/100

115X/100 = 1648 x 91 - 91X/100

115X + 91X = 1648 x 91

206X = 1648 x 91

206X = 149,968

X = 149,968÷206

X = 728

Hence, Cost of first dress

= Rs. 728

Cost of second dress = 1648 - 728

= Rs.920

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