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16. Find the ratio of prices of tea and coffee, if tea costs 50 for 250 g, while coffee costs 80 for 50 g.
Answers
Answer:
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The ratio of price of coffee to the price of tea is 6:7.
Step-by-step explanation:
Given : Coffee cost rupees 24 per 100 gram and tea cost rupees 80 per kg.
To find : The ratio of the price of coffee to that of tea ?
Solution :
We know that,
1 kilogram(kg) = 1000 gram(gm)
Cost of coffee = Rs 24 per 100 gram
⇒ Cost of 100 gram coffee is Rs 24
⇒ Cost of 1 gram coffee = Rs \frac{24}{100}
100
24
⇒ Cost of 1000 gram coffee = Rs \frac{24\times 1000}{100}
100
24×1000
\textbf{Cost of coffee = Rs 240/kg}Cost of coffee = Rs 240/kg
\textbf{Cost of tea = Rs 280/kg}Cost of tea = Rs 280/kg
Ratio of price of coffee to the ratio of price of tea is
R=\frac{\text{Price of coffee}}{\text{Price of tea}}R=
Price of tea
Price of coffee
R=\frac{240}{280}R=
280
240
R=\frac{12}{14}R=
14
12
R=\frac{6}{7}R=
7
6
So, The ratio of price of coffee to the price of tea is 6:7.