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31 May, 04:54

Two pans of a balance are 25.1 cm apart.

The fulcrum of the balance has been shifted

1.4 cm away from the center by a dishonest

shopkeeper.

By what percentage is the true weight of the

goods being marked up by the shopkeeper?

Assume the balance has negligible mass.

Answer in units of %.

+1
Answers (1)
  1. 31 May, 05:10
    0
    25.1%

    Explanation:

    Let's say m is the true weight and M is the weight of the counterweight.

    The original distance between the pans and the center is 25.1 cm / 2 = 12.55 cm. The fulcrum is then moved 1.4 cm towards the counterweight.

    Sum of the moments about the fulcrum:

    m (12.55 + 1.4) - M (12.55 - 1.4) = 0

    13.95 m - 11.15 M = 0

    13.95 m = 11.15 M

    M / m = 13.95 / 11.15

    M / m = 1.251

    The true weight is being marked up by 25.1%.
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