Question

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 grams
2. 90 grams
3. 100 grams
4. 85 grams
5. 95 grams

Answer 1

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.