A scored 30% marks and failed by 15 marks. B | vedclass

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Question

(A) Let $x$ be the maximum marks.The pass marks can be expressed as:Pass marks $= 0.30x + 15$ (since $A$ failed by $15$ marks).Pass marks $= 0.40x - 3

Vedclass · Accepted Answer

$33$

Vedclass · Answer

(A) Let $x$ be the maximum marks.The pass marks can be expressed as:Pass marks $= 0.30x + 15$ (since $A$ failed by $15$ marks).Pass marks $= 0.40x - 35$ (since $B$ got $35$ marks more than passing).Equating the two expressions for pass marks:$0.30x + 15 = 0.40x - 35$$0.40x - 0.30x = 15 + 35$$0.10x = 50$$x = \frac{50}{0.10} = 500$Now,calculate the pass marks:Pass marks $= 0.30(500) + 15 = 150 + 15 = 165$.Finally,calculate the pass percentage:Pass percentage $= (\frac{165}{500}) 	imes 100 = 33\%$.

$A$ scored $30\%$ marks and failed by $15$ marks. $B$ scored $40\%$ marks and obtained $35$ marks more than that required to pass. The pass percentage is: (in $\%$)

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