In the mixing tea , 1 kg in every 100kg is wasted . In what proportion must a dealer mod teas which cost him rs.24 and rs.18 per kg repectively so that the cost comes to rs.20 per kg
Answers
Answer:
x²-2x+1=0 হলে xⁿ+1/xⁿ=
Given : In the mixing tea , 1 kg in every 100kg is wasted .
To Find : In what proportion must a dealer mix teas which cost him rs.24 and rs.18 per kg respectively so that the cost comes to rs.20 per kg
Solution:
Let say Tea mixed costing Rs 24 per kg = 100x kg
and Tea mixed costing Rs 18 per kg = 100 kg
Total tea mixed = 100x + 100 = 100(x + 1) kg
Tea Water = (1/100)100(x + 1) = x + 1 kg
Mixture Obtained = 100(x + 1) - (x + 1) = 99(x + 1) kg
Cost of 100x kg = 24 * 100x = 2400x Rs
Cost of 100 kg = 18 * 100 = 1800 Rs
Total cost = 2400x + 1800 Rs
Cost of mixture 99(x + 1) kg = 99(x + 1) * 20 = 1980(x + 1) Rs
= 1980x + 1980 Rs
Equate total cost
2400x + 1800 = 1980x + 1980
=> 420x = 180
=> 42x = 18
=> 7x = 3
=> x = 3/7
Ratio is 100x : 100
= x : 1
= 3 : 7
Hence in 3:7 Ratio tea must be mixed
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