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If the average price of five different metals is taken, it is Rs. 432 per gram. If the costliest metal is not included, the average price drops by Rs. 132. What will be the price of 20 grams of costliest metal ? (in Rs.)

If the average price of five different metals is taken, it is Rs. 432 per gram. If the costliest metal is not included, the average price drops by Rs. 132. What will be the price of 20 grams of costliest metal ? (in Rs.) Correct Answer 19200

Let the average price of costliest metal be Rs. T per gram.

⇒ Sum of price of all 5 metals = 5 × Rs. 432 = Rs. 2160

And, Sum of price of all 4 metals(excluding costliest metal) = 4 × Rs. (432-132) = Rs. 1200

⇒ Price of a gram of costliest metal = Rs. 2160 – Rs. 1200 = Rs. 960

⇒ Price of 20 grams of costliest metal = 20 × Rs. 960 = Rs. 19200

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