Two varieties of rice cost Rs 30 per kg and Rs.35 per kg. They are mixed with a third vanety of rice, in the ratio 2 2 3 If the mixture costs Rs 40 per kg. then the cost per kg for the third vanety of rice will be
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Answer:
Rs. 50 per kg.
Step-by-step explanation:
Let the cost of rice of third variety be p.
From the Ratios we get:
2x30 + 2x35 + 3xp = 7x40
⇒ 3p = 280 - 60 - 70 = 280 - 130 = 150
⇒ p = 50
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Given,
Cost of two variety of rice = Rs.30 per kg & Rs. 35 per kg.
Ratio= 2:2:3
Cost of mixture of rice=Rs. 40 per kg.
To find,
Cost per kg for the third variety of rice = ?
Solution,
Let the cost of third variety of rice be x.
From the ratios we get,
⇒ 2×30 + 2×35 + 3×p = 7×40
⇒ 3p=280-60-70 = 280-130
⇒ 3p=150
⇒p = 150÷3 = 50
Hence, the cost per kg for the third variety of rice will be Rs.50 per kg.
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