a shopkeeper buys tea leaves at the rate of R's.200 per kg and teq dust at the rate of R's. 120 per kg in the ratio 3 : 5 he sells these tea leaves and tea dusts at 10%profit and 15%profit respectively if the total sale is of R's. 27000 find the quantity of each type of tea sold
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Let the quantities be 3x kg and 5x kg
Cost price of one kg tea leaves=200
So cp for 3x kg =600x
Cp for 5x teq dust=120(5x)
=600x
Profit on leaves=600x(10%)
=60x
Profit on tea dust 15% of 600x
=90x
Sp of all tea leaves=660x
Sp of all tea dust=690x
Total sp=27000
660x+690x=27000
1350x=27000
x=200
So reqd quantities are 600kg and 1000kg
Cost price of one kg tea leaves=200
So cp for 3x kg =600x
Cp for 5x teq dust=120(5x)
=600x
Profit on leaves=600x(10%)
=60x
Profit on tea dust 15% of 600x
=90x
Sp of all tea leaves=660x
Sp of all tea dust=690x
Total sp=27000
660x+690x=27000
1350x=27000
x=200
So reqd quantities are 600kg and 1000kg
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