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On selling a tea-set 5% loss and a lemon-set at 15% gain, a crockeryseller gains Rs. 7. If he sells the tea-set at 5% gain and the lemon-set at10% gain, he gains Rs. 13. Find the actual price of the tea-set and thelemon-set. |
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Answer» Correct Answer - tea set = ₹ 100, lemon set = ₹ 80 Let the cost price of the tea set be ₹ x and that of the lemon set by ₹ y. Then, ` ((95x)/(100) + (115y )/(100)) - ( x + y ) = 7 rArr ((19x + 23 y ))/(20) - (x + y ) = 7` ` " " rArr 3y - x = 140 " " `... (i) And , ` ((105x )/(100) + (110y)/(100)) - ( x + y ) = 13 rArr ((21 x + 22y ))/(20 ) - (x + y ) = 13` ` rArr x + 2y = 260 " " `... (ii) Now, solve (i) and (ii). |
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