Question

a shopkeeper earns a profit of rs.1 by selling one pen and incures a loss 40 paise per pencil in a particular month he earns nether profit or loss if he sold 70 pens how many pen he sold

Answer 1

Given that when one pencil is sold, the shopkeeper gets a loss of 40 paise and on selling 1 pen the shop keeper get a profit of Re 1 (1) If she sold 45 pens then the profit made by her = 45 x 1 = Rs 45 rupees. Given that she got a loss of Rs 5. This implies that means she sold some pencils. Hence she got loss on selling those pencils. On selling those pencils She got a loss of Rs 50 (Since already she got profit Rs 45) Let the number of pencils sold be x. On selling 1 pencil, loss incurred = 40 paise On selling x pencils, loss incurred = Rs 50 = Rs 5000 Hence (1x 5000) = 40x ⇒ x = 5000/40 = 125 Thus number of pencils sold in the month is 125. (2) Given that she makes neither profit nor loss. Hence profit made by selling pens = Loss got on selling the pencils à (1) Given 70 pens are sold. Profit made by selling these pens = 70 × Re 1 = 70 ×100 paise= 7000 paise. Loss by selling x pencils = x × 40 paise Equation (1) becomes, 7000 paise = 40x paise ⇒ x = 7000/40 = 175 Thus number of pencils sold in the month is 175.