Answer :

If selling at Rs. 80/kg trader makes loss of 20%

Let the cost price be X

Then selling price = X- = = =

⇒ = Rs 80

X = = Rs. 100

∴ Cost price 1^{st} tea is Rs. 100

If selling at Rs. 200/kg trader makes profit of 25%

Let the cost price be Y

Then selling price = Y + = = =

⇒ = Rs 200

X = = Rs. 160

∴ Cost price 2^{nd} tea is Rs. 160

If selling at Rs. 150/kg trader makes profit of 25%

Let the cost price be Z

Then selling price = Z + = = =

⇒ = Rs 150

Z = = Rs. 120

∴ Cost price of mixed tea is Rs. 120

Let the amount of mixture of 1^{st} tea be X

Then the amount of mixture of 2^{nd} tea be 1 – X

X×100 + 160×(1-X) = 120

-60X = 120 – 160 = -40

X =

1 – X = 1 - =

Therefore

The ratio = : = 2:1

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