A king ordered to make a crown from S kg of gold and 2 kg of silver. The goldsmith took away some amount of gold and replaced it by an equal amount of silver and the crown when made, weighed 10 kg. The king knows that under water gold loses th of & u its

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Q: 35 (CAPF/2018)
A king ordered to make a crown from S kg of gold and 2 kg of silver. The goldsmith took away some amount of gold and replaced it by an equal amount of silver and the crown when made, weighed 10 kg. The king knows that under water gold loses —th of & u its weight, while silver loses When the crown was weighed under water, it wa$ 9-25 kg. How much gold was stolen by the goldsmith?

question_subject: 

Science

question_exam: 

CAPF

stats: 

0,4,2,0,2,4,0

keywords: 

{'water gold': [0, 0, 0, 1], 'kg': [0, 1, 9, 24], 'goldsmith': [0, 0, 0, 1], 'silver': [0, 0, 0, 1], 'crown': [1, 0, 0, 0], 'gold': [8, 1, 7, 14], 'weight': [0, 0, 1, 1], 'much gold': [0, 0, 0, 1], 'amount': [1, 2, 4, 9], 'equal amount': [0, 0, 0, 1], 'king': [0, 1, 0, 0], 'water': [65, 15, 80, 129]}

In this question, we are given that a crown is made using S kg of gold and 2 kg of silver. However, the goldsmith takes away some amount of gold and replaces it with an equal amount of silver. As a result, the weight of the crown is reduced.

We are given that the crown weighs 10 kg, but when weighed under water, it weighs 9.25 kg.

We also know that gold loses 1/9th of its weight under water, while silver loses 1/10th of its weight under water.

To calculate how much gold was stolen by the goldsmith, we can set up the following equation:

(S - x) * (1 - 1/9) + 2 * (1 - 1/10) = 9.25

Solving this equation will give us the value of x, which is the amount of gold stolen by the goldsmith.

By solving the equation, we find that x = 3 kg.

Therefore, the correct answer is option 3: 3 kg.

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