To find the final selling price (SP) of the refrigerator after successive discounts, we first calculate the price after the initial discount and then apply the second discount to that reduced price.
Given:
The first discount is 15% on the marked price.
Discount Amount 1 = $MP \times \frac{15}{100}$
Discount Amount 1 = $25000 \times \frac{15}{100} = ₹3750$
Price after 1st Discount = $MP - \text{Discount Amount 1}$
Price after 1st Discount = $25000 - 3750 = ₹21250$
The second discount of 12% is applied to the price calculated after the first discount (₹21,250).
Discount Amount 2 = Price after 1st Discount $\times \frac{12}{100}$
Discount Amount 2 = $21250 \times \frac{12}{100} = ₹2550$
Final Selling Price (SP) = Price after 1st Discount - Discount Amount 2
SP = $21250 - 2550 = ₹18700$
The final selling price can also be calculated directly:
SP = $MP \times (1 - \frac{d_1}{100}) \times (1 - \frac{d_2}{100})$
SP = $25000 \times (1 - \frac{15}{100}) \times (1 - \frac{12}{100})$
SP = $25000 \times (1 - 0.15) \times (1 - 0.12)$
SP = $25000 \times 0.85 \times 0.88$
SP = $25000 \times 0.748$
SP = $₹18700$
Therefore, the final selling price of the refrigerator is ₹18,700.
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