in a certain examination, a candidate answered 25 questions and 2/5th of the rest of the total number of questions and he found that thus he has answered only 60% of the total number of questions. how many questions did he answer?( step by step explain please)
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cross multiplication
and add this and see waht is answer and he gave the total 18 questions answer
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ANSWER:
Let the total no. of questions be X
If he answers 25 Qs, then the no. of Qs left= x-25
But he also answers 2/5 of the remaining Qs.
Thus, the total no. of questions answered
= 25+(2/5 × (x-25))
It is given that he answers 60% of the total Qs
= 60x/100
= 3x/5
Therefore, 3x/5 = 25+ ( 2/5 ×(x-25))
=> 3x/5 = 25 + (2(x-25))/5
= 25+ (2x -50)/5
= (125+2x -50)/5
= (75+2x)/5
On cross multiplication, 5(3x) = 5(75+2x)
=> 15x= 375 +10x
=> 5x= 375.
=> x= 75.
Thus, the total no. of Qs= 75
And the no.of Qs answered = 3x/5 = (3×75)/5
= 45
Thus, he has answered 45 Qs.} Ans.
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