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in Commercial Mathematics by (47.3k points)
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If x varies inversely as y and x = 20 when y = 600, find y when x = 400.

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Best answer

If x varies inversely as y.

∴ xy = k(constant) …(i)

If x = 20 and y = 600

∴xy = 20× 600 = 12000

⇒ k = 12000

When x = 400, then from Eq. (i)

y× 400 = k

⇒ y × 400 = 12000

⇒ y = 12000/400 = 30

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