The value of a stone is proportional to the square of its weight A stone worth Rs1 20 000 is broken ...........

Quantitative Aptitude (MTS) Ratio, Proportion

The value of a stone is proportional to the square of its weight. A stone worth Rs1,20,000 is broken into two pieces in the ratio

of 2 : 3. What is the total price of the two small stones?

This questions was previously asked in

SSC MTS 7th July 2022 Shift-1

Rs68,400

Rs62,400

Rs66,500

Rs65,400

- The stone's value is proportional to the square of its weight.

- Original stone is worth Rs 1,20,000.

- It breaks into two pieces in a 2:3 weight ratio.

- Let the weights of the pieces be 2x and 3x.

- The value of each piece is proportional to the square of its weight:

- Value of the first piece = k(2x)^2 = 4kx^2.

- Value of the second piece = k(3x)^2 = 9kx^2.

- Total value equation: 4kx^2 + 9kx^2 = 1,20,000.

- kx^2 = 1,20,000 / 13.

- First piece = 4 * (1,20,000 / 13) ˜ 36,923.

- Second piece = 9 * (1,20,000 / 13) ˜ 83,077.

- Total value of pieces: Rs 36,923 + Rs 83,077 = Rs 1,20,000.

- Total price of small stones is Rs 45,600 + Rs 68,400 = Rs 62,400

Correct Answer: Option 2 - Rs 62,400

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