1.

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%

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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