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Mixture 1 with a volume of 8 litres has 80% milk and Mixture 2 with a volume of 6 litres has 60% milk. Both the mixtures are mixed. Find the percentag
Question

Mixture 1 with a volume of 8 litres has 80% milk and Mixture 2 with a volume of 6 litres has 60% milk. Both the mixtures are mixed. Find the percentage of milk in the final mixture.

A.

6007\frac{600}{7}​​

B.

5009\frac{500}{9}​​

C.

5007\frac{500}{7}​​

D.

8009\frac{800}{9}​​

Correct option is C

Amount of Milk in Mixture1 : 8×80100=6.4 litres8× \frac{80}{100} = 6.4\, litres​​

Amount of Milk in Mixture 2: 6 litres×60100=3.6 litres6 \text{ litres} \times \frac{60}{100} = 3.6 \text{ litres
6×60100=3.6litres6× \frac{60}{100} = 3.6\, litres6×10060=3.6litres

Total Volume of Mixture = 8 + 6 = 14 litres

Total Amount of Milk = 6.4 litres+3.6 litres=10 litres6.4 \text{ litres} + 3.6 \text{ litres} = 10 \text{ litres}6.4 litres+3.6 litres=10 litres

% of milk in the mixture = 1014×100=5007%\frac{10}{14}×100 = \frac{500}{7} {\%}​​

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