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Weighing with a Known Weight

A shopkeeper ...

Question

A shopkeeper places an object on one pan and the weights 5 kg, 500 g and 25 g on the other pan of a balance. If the pans balance, then what is the weight of the object?

A

7000 g

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B

6750 g

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C

5525 g

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D

6675 g

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Solution

The correct option is C 5525 g
Weights on oneof the pans: 5 kg, 500 g and 25 g
Since the pans balance, the weight of the object must be equal to the sum of weights on the other pan.

1 kg = 1000 g
$∴$ 5 kg = 5 × 1000 g = 5000 g

Hence, the weight of the object is equal to
5 kg + 500 g + 25 g
= 5000 g + 500 g + 25 g
= 5525 g.

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