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The marked price of a shirt and trousers are in the ratio 1:2. The shopkeeper gives 40% discount on the shirt. If the total discount on both is 30%, the discount offered on trousers is (a) 15% (b) 20% (c) 25% (d) 30% |
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Answer» (c) 25% Let the M.P. of a shirt be Rs x and that of trousers be Rs 2x Let the discount on the trousers be y% Then, \(\frac{60}{100}\) x x + \(\frac{(100-y)}{100}\) x 2x = \(\frac{70}{100}\)x (x+2x) \(\Rightarrow\) \(\frac{3}{5}\) + \(\frac{(100-y)}{100}\) = \(\frac{21}{10}\) \(\Rightarrow\) \(\frac{100-y}{100}\) = \(\frac{21}{10}\) - \(\frac{3}{5}\) = \(\frac{21-6}{10}\) = \(\frac{15}{20}\) = \(\frac{3}{2}\) \(\Rightarrow\) (100 – y) = \(\frac{3}{2}\) x 50 = 75 \(\Rightarrow\) y = 25% |
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