Question
Gita purchased 4 mobiles, 16 watches, and 8 tablets for
Rs. 320, Rs. 960, and Rs. 480, respectively, from a seller. By selling each mobile and each watch, the seller made a profit of ‘i%’ and ‘j%’, respectively, such that j = 6i. Find the profit earned by the seller on selling all the tablets given the condition that the cost price of a watch, a mobile, and a tablet is the same.Solution
According to the question Let the cost price of each mobile, each watch, and each tablet be Rs. ‘v’ Selling price of each mobile = (320/4) = Rs. 80 Selling price of each watch = (960/16) = Rs. 60 According to the question, (80–v)/v×100=i…… (I) Also, (60–v)/v×100=j…… (II) Dividing equation (I) by (II), we get (80–v)/(60–v)=i/j Or, (80–v)/(60–v)=i/6i Or, 480v–6v=60–v Or, 5v=60 Or, v=10 Therefore, the cost price of all the tablets = Rs. 8v = Rs. 80 Required profit = 480 – 80 = Rs. 400
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