Rice worth Rs.35 per kilogram and Rs.38 per kilogram are mixed with a third variety in the ratio 2 : 1 : 2. If the mixture is worth Rs.42 per kilogram, the price of the third variety per kilogram is:
This questions was previously asked in
ssc cgl 2023 pre
Explanation:
- To solve this problem, we need to calculate the price of the third variety of rice in the mixture.
- We have two known prices of rice: Rs.35/kg and Rs.38/kg. The third variety's price is unknown.
- The given ratio for mixing is 2:1:2, which implies that 2 parts of Rs.35/kg rice, 1 part of Rs.38/kg rice, and 2 parts of the third variety are mixed.
- The equation for the average price per kilogram of the mixture is:
\[(2 \cdot 35 + 1 \cdot 38 + 2 \cdot x) / 5 = 42\]
where \(x\) is the price of the third variety.
- Solving:
\(70 + 38 + 2x = 210\)
\(2x = 210 - 108\)
\(2x = 102\)
\(x = 51\)
- The price of the third variety per kilogram is Rs.51.
Correct Answer: Option 4 - Rs. 51
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By: Parvesh Mehta