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A company offers four types of successive discounts A - D on the marked price of an article. Arrange these successive discounts A - D in ascending order based on the final price of the article after discounts.
(A) 25% and 15%
(B) 30% and 10%
(C) 35% and 5%
(D) 15% and 20%
We need to arrange in ascending order on the basis of the final price of the article after two successive discounts. Let the initial price before any discount be Rs 100.
Final discount after two successive discounts = $$d_1+d_2-\dfrac{d_1\times d_2}{100}$$
(A) 25% and 15%
Final discount = $$25+15-\dfrac{25\times15}{100}$$
Final discount = $$36.25\%$$
Final price = Rs $$63.75$$
(B) 30% and 10%
Final discount = $$30+10-\dfrac{30\times10}{100}$$
Final discount = $$37\%$$
Final price = Rs $$63$$
(C) 35% and 5%
Final discount = $$35+5-\dfrac{35\times5}{100}$$
Final discount = $$38.25\%$$
Final price = Rs $$61.75$$
(D) 20% and 15%
Final discount = $$20+15-\dfrac{20\times15}{100}$$
Final discount = $$32\%$$
Final price = Rs $$68$$
Thus, the correct order will be (C), (B), (A), (D)