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Mathematics

For 100 km, a taxi charges ₹ 1 ,800. How much will it charge for a journey of 120 km ?

Direct & Inverse Variations

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Answer

Let the taxi charges ₹ x for 120 km.

DistanceCharge
100₹ 1,800
120₹ x

Since it is a case of direct variation,

1001,800=120xx=120×1800100x=2,16,000100x=2,160\therefore \dfrac{100}{1,800} = \dfrac{120}{x}\\[1em] \Rightarrow x = \dfrac{120 \times 1800}{100}\\[1em] \Rightarrow x = \dfrac{2,16,000}{100}\\[1em] \Rightarrow x = 2,160

Hence, the taxi will charge ₹ 2,160.

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