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A man travels from Delhi to Kolkata to buy gold which he can get 10% cheaper in Kolkata than in Delhi. The distance between Delhi and Kolkata is 2100 kilo- meter. The mileage of the car is 100 Km/L and the price of the petrol is Rs. 70/L. He makes a clear saving of 10,000 so how much does he pay for the gold?

A man travels from Delhi to Kolkata to buy gold which he can get 10% cheaper in Kolkata than in Delhi. The distance between Delhi and Kolkata is 2100 kilo- meter. The mileage of the car is 100 Km/L and the price of the petrol is Rs. 70/L. He makes a clear saving of 10,000 so how much does he pay for the gold? Correct Answer 1,03,230

Given:

Distance between Delhi and Kolkata = 2100 Kilo-meter

Price of petrol = 70/L

Saving = 10,000

Formulae used:

Total petrol used = total distance covered/mileage of the car

Calculations:

Total petrol used = 2100/100 = 21L

Total price of petrol = 21 × 70 = 1470

Let the cost price of gold at Delhi be x.

Cost price in Kolkata = 10% cheaper than Delhi

Cost price in Kolkata = x – 10% of x = 0.9x

According to question,

⇒ 0.9x + 1470 + 10,000 = x

⇒ 0.1x = 11,470

⇒ x = 11,470 × 10 = 1,14,700 = price of gold in Delhi

∴ Price of gold in Kolkata = 0.9x = 0.9 × 1,14,700 = 1,03,230

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