A shopkeeper mixes two qualities of rice, which cost him Rs40 per kg and Rs47.50 per kg respectively, in such a way that he has
15 kg of the blended rice costing him a total of Rs645. What is the weight (in kg) of the rice that cost him Rs47.50 per kg?
This questions was previously asked in
SSC CHSL 30th May 2022 Shift-2
Explanation:
- Let's determine how much of each type of rice is mixed.
- Let "x" be the weight in kg of the Rs40 per kg rice.
- Let "y" be the weight in kg of the Rs47.50 per kg rice.
- The total weight of the rice blend is given as 15 kg:
\[ x + y = 15 \]
- The total cost of the blended rice is Rs645:
\[ 40x + 47.5y = 645 \]
- Solving these equations:
- From \( x + y = 15 \), we get \( x = 15 - y \).
- Substituting in the cost equation:
\[ 40(15 - y) + 47.5y = 645 \]
- Simplifying gives \( 600 - 40y + 47.5y = 645 \).
- Which simplifies to \( 7.5y = 45 \).
- Thus, \( y = 6 \) kg, which is the weight of the Rs47.50 per kg rice.
- Option:2, 6 is the correct answer .
- .
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