The cost of two varieties of tea is Rs300 and Rs375 respectively. If both the varieties of tea are mixed together in the ratio 3 : 2,
then what should be the price of mixed variety of tea per kg?
This questions was previously asked in
SSC CPO 9th Nov 2022 Shift 1
Explanation:
- The price of the first variety of tea is Rs300 per kg, and the second variety is Rs375 per kg.
- The teas are mixed in a 3:2 ratio.
- To find the price per kg of the mixture, use the weighted average formula:
\[
\text{Price of mixture} = \frac{(3 \times 300) + (2 \times 375)}{3 + 2}
\]
- Calculation:
\[
\text{Price of mixture} = \frac{(900) + (750)}{5} = \frac{1650}{5} = 330
\]
- Option 1: Rs340 – Incorrect, as this is higher than the calculated price.
- Option 2: Rs330 – Correct, matches the calculated price.
- Option 3: Rs350 – Incorrect, because the mixture costs less.
- Option 4: Rs360 – Incorrect, this is too high for the mixture.
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By: santosh