Hola brainlians!
A simple question for you :
Rs 6,500 was divided equally among a certain number of people. Had there been 15 people more, each would have got Rs 30 less. Find the original number of people.
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Answers
Answered by
6
Answer:
Correct option is
B
Step-by-step explanation:
50
Total rupees=Rs.6500
Let original no. of persons=x
Money given to each person=
x
6500
Now 15 more persons come, so total no. of people became=x+15.
Division of money among x+15 people=
x+15
6500
But according to question, division of money among (x+15) people=
x
6500
−30
Division among x+15 people=
x+15
6500
=
x
6500
−30
⇒6500x=500x+6500(15)−30x(x+15)
⇒30x
2
+450x−6500(15)=0
⇒x
2
+15x−3250=0
⇒x=
2
−15±
225+4(3250)
⇒x=
2
−15±115
⇒x
=−65
⇒x=50
Hence option
′
B
′
is the answer.
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