Question

Ex.4. Gita buys a plot of land for 96,000. She sells of it at a loss of 6%. She wants to make a profit of 10% on the whole transaction by sell- ing the remaining land. The gain % on the re- maining land is (1) 20% (2) 20% (3) 14% (4) 7%

11th - 12th Class

Maths

Solution

133

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Sol. (2) Total expected ( S . P .=frac{96000 times 110}{100}=₹ 105600 ) S.P. of first part ( =frac{2}{5} times 96000 times frac{94}{100}=₹ 36096 ) S.P. of remaining part ( =105600-36096=₹ 69504 ) C.P. of remaining part ( =frac{3}{5} times 96000=₹ 57600 ) Gain ( =69504-57600=₹ 11904 ) If the gain per cent be ( x ), then ( frac{57600 times x}{100}=11904 ) ( Rightarrow x=frac{11904 times 100}{57600}=20 frac{2}{3} % )