Question 75

A dealer marks an article 40% above the cost price and sells it to a customer, allowing two successive discounts of 20% and 25% on the marked price. If he suffers a loss of ₹ 140, then the cost price (in ₹) of the article is:

Solution

Let the cost price be x.

Marked price = x $$\times \frac{140}{100}$$ = 1.4x

Selling price = 1.4x $$\times \frac{80}{100} \times \frac{75}{100}$$ = 0.84x

Loss = 140

x - 0.84x = 140

0.16x = 140

x = Rs.875

$$\therefore$$ Cost price (in ₹) of the article is Rs.875.

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