18. A person buys some pencils at 5...
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18. A person buys some pencils at 5 for a rupee and sells them at 3 for a rupee. his gain per cent will be (1) 662% (2) 762 % (3) 562% (4) 46 % WINWI

11th - 12th Class
Maths
Solution
257
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18. (1) because CP of 5 pencils ( =₹ 1 ) ( therefore mathrm{CP} ) of 1 pencil ( =₹ frac{1}{5} ) and ( mathrm{SP} ) of 3 pencils ( =₹ 1 ) ( therefore ) SP of 1 pencil ( =₹ frac{1}{3} ) Thus, gain ( =S P-C P=₹left(frac{1}{3}-frac{1}{5}right) ) [ begin{array}{l}=₹left(frac{5-3}{15}right)=₹ frac{2}{15} text { Hence, gain } %=frac{text { gain }}{mathrm{CP}} times 100 % =frac{2 / 15}{1 / 5} times 100 %=frac{2}{15} times 5 times 100 %=66 frac{2}{3} %end{array} ]
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