Rice worth ₹43/kg and ₹67/kg are mixed with a third variety in the ratio 2 : 1 : 5.
Rice worth ₹43/kg and ₹67/kg are mixed with a third variety in the ratio 2 : 1 : 5. If the mixture is worth ₹96/kg, the price (in ₹ of the third variety of rice per kg will be:
₹43/kg और ₹67/kg मूल्य वाले चावलों को तीसरी किस्म के चावल के साथ 2 : 1 : 5 के अनुपात में मिलाया जाता है। यदि मिश्रण का मूल्य ₹96/kg है, तो तीसरी किस्म के चावल का प्रति kg मूल्य (₹ में) ज्ञात कीजिए।
Detailed Solution & Logic
Correct Answer:
123
Prices: ₹43, ₹67, and ₹x
Ratio: $2 : 1 : 5$
Mixture price: ₹96
Using weighted average:
$\frac{2 \times 43 + 1 \times 67 + 5 \times x}{2 + 1 + 5} = 96$
$\frac{86 + 67 + 5x}{8} = 96$
$153 + 5x = 768$
$5x = 615$
$x = 123$
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