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A diamond of weight 150 grams is cut into three pieces. The weight of the first piece and the second piece are in a ratio of 8 : 5. The weight of the third piece is 20 grams. Find the weight of the first piece.1. 80 grams2. 90 grams3. 100 grams4. 85 grams5. 95 grams |
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Answer» Correct Answer - Option 1 : 80 grams Given: Weight of diamond = 150 grams The ratio of the weight of two pieces = 8 : 5 Weight of the third piece = 20 grams Concept used: Total weight = Weight of first piece + Weight of second piece + Weight of third piece Calculation: Let the weight of the first piece be 8x Let the weight of the second piece be 5x 150 = 8x + 5x + 20 ⇒ 13x = 130 ⇒ x = 10 Weight of the first piece = 8 × 10 = 80 ∴ The weight of the first piece is 80 grams. |
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