Q122 of 140 Page 196

A tea merchant blends two varieties of tea in the ratio of 5 : 4. The cost of first variety is Rs 200 per kg and that of second variety is Rs 300 per kg. If he sells the blended tea at the rate of Rs 275 per kg, find out the percentage of her profit or loss.

Given, ratio of blended two varieties of tea = 5:4


And cost of green tea = 200 per kg


And cost of lemon tea = 300 per kg


SP of blended tea = 275 per kg


Let green tea be 5x kg and lemon be 4x kg


Cost of lemon tea = 4x × 300 = 1200x


Cost of green tea = 5x × 200 = 1000x


Total CP = 1000x + 1200x = 2200x


Total quantitiy = 4X + 5X = 9X


SP of blended tea = 275 × 9x = 2475x


CP <SP


So, there is profit on blended tea


Profit = SP-CP


= 2475x – 2200x = 275x


Profit% = × 100%


= × 100%


=


= 12.5%


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