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An electric heater is listed at ₹15,250. A dealer receives a trade discount of 15% and a cash discount of 4% on the already discounted amount. Find th
Question

An electric heater is listed at ₹15,250. A dealer receives a trade discount of 15% and a cash discount of 4% on the already discounted amount. Find the final amount the dealer has to pay (in ₹).

A.

12,124

B.

12,414

C.

12,224

D.

12,444

Correct option is D

Given:
List Price = ₹15,250
First discount (Trade discount) = 15%
Second discount (Cash discount) = 4%
Formula Used:
Price after discount = List Price ×  (1Discount percentage100)(1 - \frac{Discount\ percentage}{100})​​
Final Price = List Price × (1D1100)×(1D2100) (1 - \frac{D_{1}}{100}) × (1 - \frac{D_{2}}{100})​​
Solution:
First, calculate the price of the heater after applying the 15% trade discount:
Price after first discount = 15250 × (115100)(1 - \frac{15}{100})​​
Price after first discount = 15250 × 0.85
Price after first discount = 12962.5
Next, apply the 4% cash discount on this new price to find the final amount to be paid:
Final Price = 12962.5 × (14100)(1 - \frac{4}{100})​​
Final Price = 12962.5 × 0.96
Final Price = 12444
The final amount the dealer has to pay is ₹12,444.
Final Answer
So the correct answer is (d)

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