LOSS, LOSS,LOSS, LOSS, LOSS, LOSS, Wht else n you do? Perentge Clultions nd loss s nd losses re usully money vlues relting to the sle or trde of items y retilers. Some importnt terms first: ost prie: The prie retilers py for the items they re going to sell. mrked prie: The prie retilers put on the items they re selling to ustomers sle prie: The prie retilers tully sell the items for. A profit is wht you gin from sle A loss is wht you lose from sle PROFT, PROFT, PROFT, PROFT, Sle prie 2 Cost prie Sle prie - Cost prie = Positive nswer Sle prie 1 Cost prie Sle prie - Cost prie = Negtive nswer Here is n exmple inluding some new terms importnt to these types of perentge lultions To mke profit, shops inrese the ost prie of items y perentge. This is lled mrkup. Mrked prie = Cost prie + The mrkup (i) A retiler uys some sketlls for $22 eh nd deides to dd 75% mrk-up to sell them. $22 inresed y 75% = $22 1.75 = $38.50 Mrked prie of sketll in the shop is $38.50. Alwys nswer money questions urte to 2 deiml ples. To mke n item sell quiker, they derese the ost prie y perentge. This is lled disount. Disount/On-Sle Prie = Mrked prie - the disount (ii) The retiler then disounts the mrked prie of the sketlls y 12% to sell them fster. $38.50 deresed y 12% = $38.50 0.88 = $33.88 Disounted (or on sle ) prie of sketll in the shop is $33.88 (iii) Clulte the profit or loss for the retiler if sketll ws sold t the disounted prie. Sle prie - Cost prie = $33.88 $22 = $11.88 Positive nswer, so the retiler mde profit of $11.88 Perentge Clultions Mthletis Pssport 3P Lerning SERES TOPC 33
Wht else n you do? Perentge Clultions nd loss 1 Clulte the profit or loss for eh of these ost nd sle pries. Cost prie = $25 Sle prie = $22 Cost prie = $45.00 Sle prie = $63.50 Cost prie = $4.25 Sle prie = $140.75 2 To lulte the profit or loss s perentge of the ost prie, we use this formul: /loss s perentge of the ost prie = (profit/loss ' ost prie) Complete these lultions whih follow this formul to find the perentge profit/loss Cost prie = $18.00 Sle prie = $22.50 Cost prie = $5.20 Sle prie = $4.16 of the ost prie of the ost prie of the ost prie of the ost prie 3 To lulte the profit or loss s perentge of the sle prie, we use similr formul: /loss s perentge of the sle prie = (profit/loss ' sle prie) Complete these lultions whih follow this formul to find the perentge profit/loss. Cost prie = $34.56 Sle prie = $25.60 Cost prie = $49.66 Sle prie = $124.15. % of the sle prie of the sle prie. % of the sle prie of the sle prie 4 Clulte the perentge profit/loss (to 1 d.p.) of the ost nd sle pries for these: Cost prie = $20.50 Sle prie = $11.45 Cost prie = $59.40 Sle prie = $84.95 Differene Differene of the ost prie of the ost prie of the ost prie of the ost prie of the ost prie of the ost prie of the ost prie of the ost prie SERES 34 TOPC Perentge Clultions Mthletis Pssport 3P Lerning
Wht else n you do? Perentge Clultions nd loss 5 Clulte the mrked prie for these items fter the given perentge mrkups. Cost prie = $24 Mrkup = 25% Cost prie = $32.50 Mrkup = 46% Cost prie = $230.00 Mrkup = 12.5% Mrked prie = $ Mrked prie = $ Mrked prie = $ 6 A store displyed the sign elow in its window. Clulte the disounted prie for these items: Mrked prie = $157.00 Mrked prie = $78.50 Disounted prie = $ Disounted prie = $ 7 A store purhses dining tles for $2 per tle. The mrkup put on eh tle y the store ws 50%. Five tles were suessfully sold for the mrked prie. Clulte the profit mde from the sle of these five tles. Write the profit mde s perentge of the ost prie for the five tles sold. The store disounted the mrked prie of the five remining tles y 40% to mke room for new stok. Clulte the new disounted prie for eh tle. d Clulte the profit/loss mde on the sle of ll ten tles. Perentge Clultions Mthletis Pssport 3P Lerning SERES TOPC 35
Wht else n you do? Perentge Clultions nd loss The unitry method is helpful for these profit nd loss questions: 8 A store held speil letter tg sle. Any item in the store lelled with n S, A, L or E tg ws disounted y the perentges shown elow (-70% mens disount of 70%). Use the given informtion to lulte the mrked prie for the items tgged elow: Television Pirte ht Disounted prie = $3150 Disounted prie = $55.80 Perentge disount = Perentge disount = Mrked prie = Mrked prie = Megphone d Golf lus Disounted prie = $97.50 Disounted prie = $455.60 Perentge disount = Perentge disount = Mrked prie = Mrked prie = 9 An item osting $40 is given mrk up of 20%. f the item ws then given 15% disount when sold, did retiler mke profit or loss? Show the lultions used to get your nswer. SERES 36 TOPC Perentge Clultions Mthletis Pssport 3P Lerning
Wht else n you do? Perentge Clultions nd loss PROFT AND LOSS * PROFT AND LOSS * When n item is sold for the sme mount s the ost prie, it is lled reking even (or the retiler sys they roke even on the sle ). A set of rystl glsses were ought y retiler for $200 nd given mrkup of 35%. Clulte the mrked prie on the rystl glsses in the retil store..../.../ 20... Wht perentge disount (to 1 d.p.) ws given to uyer if the retiler roke even on the sle? 11 The ost prie of forml dress ws 12.5% more thn the sle prie of $890. How muh money did the seller lose on the sle of this dress? Wht ws the lelled prie of the dress if the ost prie ws given mrkup of 20%? Clulte the disount given to this dress t the time of its sle s perentge of the ost prie (to the nerest whole perent). 12 A retiler deides tht 17.25% profit is needed on new rnge of produts if it is going to ontinue selling them. The new produts were purhsed t ost prie of $72.50 eh. The produts re mrked up y 36. 3 o %. Wht is the mrked prie for these produts to 2 d.p.? Wht is the minimum prie (to the nerest whole dollr) the items must e sold for so the retiler will ontinue selling them? Clulte the mximum perentge disount tht n e given to the mrked prie to ensure the retiler ontinues to sell the produt (to nerest whole perent)? Perentge Clultions Mthletis Pssport 3P Lerning SERES TOPC 37