Three types of grain costing ₹50/kg, ₹70/kg, and unknown price are mixed in ratio 2:3:2. If sold at ₹64/kg with 20% profit, what is the price of the third variety?

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**Steps:**

1. Find cost price per kg from selling price and profit: $64/1.2=160/3=53.333...$.
2. Write weighted average for the mix: $(2*50+3*70+2x)/7=160/3$.
3. Solve: $3(310+2x)=1120$, so $6x=190$ and $x=95/3=31.666...$.
4. Thus the third grain costs about ₹31.6/kg.

FINAL_ANSWER: a

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