The price of a semi precious stone weighing 48 g is Rs2 30 400 It is broken into two pieces whose we...........

Quantitative Aptitude (MTS) Ratio, Proportion

The price of a semi-precious stone weighing 48 g, is Rs2,30,400. It is broken into two pieces whose weights are in the ratio of 5

: 7. If the price is proportional to the square of the weight, then the loss (in Rs) incurred, is:

This questions was previously asked in

SSC MTS 18th October 2021 Shift-2

1,12,000

40,0000

1,18,400

78,400

- The original stone weighs 48g and is priced at Rs 2,30,400.

- It is split into two pieces in a 5:7 weight ratio, so the pieces are 20g and 28g.

- Since the price is proportional to the square of weight:

- Price of 20g = k × (20)^2,

- Price of 28g = k × (28)^2

- For the whole stone:

- 2,30,400 = k × (48)^2

- k = 2,30,400 / 2304 = 100

- So,

- Price of 20g = 100 × 400 = Rs 40,000

- Price of 28g = 100 × 784 = Rs 78,400

- Total after breaking = Rs 1,18,400

- Loss = 2,30,400 - 1,18,400 = Rs 1,12,000

- Option 1: 1,12,000 is correct.

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