A cloth seller gains 20% by selling a T-shirt for Rs. 480 and gain 10% by selling a shirt for Rs. 572, if he sells the T-shirt for Rs. 360. then what is the least price on which he must sell the shirt to avoid any loss on the whole transaction?
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[tex] \bf \: Given:[/tex]
A cloth seller gains 20% by selling a T-shirt for Rs. 480
A cloth seller gain 10% by selling a shirt for Rs. 572
[tex] \bf \: Assumption:[/tex]
Let, cost price of T-shirt = Rs. x and cost price of shirt = Rs. y
[tex] \bf \: Calculation:[/tex]
According to problem,
[tex]\sf:\implies x + x × 20/100 = 480[/tex]
[tex]\sf:\implies 1.2x = 480[/tex]
[tex]\sf:\implies x = 400[/tex]
According to problem,
[tex]\sf:\implies y+ y × 10/100 = 572[/tex]
[tex]\sf:\implies 1.1y = 572[/tex]
[tex]\sf:\implies y = 520[/tex]
Let, he must sell the shirt at Rs. a
According to problem,
[tex]\sf:\implies360 + a = 400 + 520[/tex]
[tex]\sf:\implies a = 560[/tex]
∴ He must sell the shirt at Rs. 560 to avoid any profit or loss.
[tex] \bf \: Given:
[/tex]
A cloth seller gains 20% by selling a T-shirt for Rs. 480
A cloth seller gain 10% by selling a shirt for Rs. 572
[tex] \bf \: Assumption:[/tex]
Let, cost price of T-shirt = Rs. x and cost price of shirt = Rs. y
[tex] \bf \: Calculation:[/tex]
According to problem,
[tex]\sf:\implies x + x × 20/100 = 480[/tex]
[tex]\sf:\implies 1.2x = 480[/tex]
[tex]\sf:\implies x = 400[/tex]
According to problem,
[tex]\sf:\implies + y × 10/100 = 572[/tex]
[tex]\sf:\implies 1.1y = 572[/tex]
[tex]\sf:\implies y = 520[/tex]
Let, he must sell the shirt at Rs. a
According to problem,
[tex]\sf:\implies360 + a = 400 + 520[/tex]
[tex]\sf:\implies a = 560[/tex]
∴ He must sell the shirt at Rs. 560 to avoid any profit or loss.