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The ratio of the prices of three different types of cars is 4:5:7. If the difference between the costliest and the cheapest cars is Rs. 60000 the price of the car of modest price is:

Correct answer: B. Rs. 100000

  • A. Rs. 80000
  • B. Rs. 100000
  • C. Rs. 140000
  • D. Rs. 120000

Explanation

The price difference between the costliest and cheapest cars is 7 - 4 = 3 ratio parts, so 3 parts = Rs. 60,000 and 1 part = Rs. 20,000. The moderately priced car has 5 parts, so its price is 5 x Rs. 20,000 = Rs. 100,000; the likely wrong choice is Rs. 80,000, which corresponds to 4 parts and the cheapest car.

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Ratios compare quantities in the same units, while proportions state that two ratios are equal. Problems cover simplification, division in a given ratio, direct and inverse variation, scale, and missing terms, with attention to the difference between a ratio and a fraction representing part of a whole.

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