Discussion Forum : True Discount
Question -
A merchant purchases a wrist watch for Rs.450 and fixes its list price in such a way that after allowing a discount of 10%, he earns a profit of 20%. Find the list price of the watch.
Answer: Option C
Answer: (c)Let marked price of the wrist watch be x${90x}/100 = {450 × 120}/100$90x = 450 × 120$x = {450 × 120}/90$ = Rs.600Using Rule 8,Here, $r_1$ = 10%, profit = 20%, r = ?Gain % = ${r × (100 - r_1)}/100 - r_1$20 = ${r × (100 - 10)}/100 - 10$20 = ${9r}/10 - 10$30 = ${9r}/10$$r = 300/9$%List price =450 + 450 × $300/9$%= 450 + 450 × $300/900$= 450 + 150 = Rs.600
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Answer: (c)Let marked price of the wrist watch be x${90x}/100 = {450 × 120}/100$90x = 450 × 120$x = {450 × 120}/90$ = Rs.600Using Rule 8,Here, $r_1$ = 10%, profit = 20%, r = ?Gain % = ${r × (100 - r_1)}/100 - r_1$20 = ${r × (100 - 10)}/100 - 10$20 = ${9r}/10 - 10$30 = ${9r}/10$$r = 300/9$%List price =450 + 450 × $300/9$%= 450 + 450 × $300/900$= 450 + 150 = Rs.600
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