Ashifur August 8, 2023 - 08:43
Problem: A bus was hired at the cost of Tk. 2,400 and it was decided that every student would share the cost equally. But 10 more students joined and as a result the fare decreased by Tk. 8per person. How many students were travelling in the bus?

View all: BANGLADESH BANK | ASSISTANT DIRECTOR (AD)| WRITTEN QUESTION (MATH) SOLVE | 2015

Correct Answer: The number of students who were travelling is 60.

Explanation:

r of students be = x

Then the per student cost was = $\frac{2400}{X}$ Tk.

After joining 10 students, total number of students (x + 10) then the per student cost decreased to $\frac{2400}{x+10}$

According to question,

=> $\frac{300}{x}$-$\frac{300}{x+300}$ =1 Tk.

=> $\frac{300(x+10)-300x}{x(x+10)}$ =1 Tk.

=> 300x + 3,000 — 300x =x$^{2}$+10x

=> $x^{2}$ +10x-3,000 = 0

=> $x^{2}$ + 60x-50x-3,000= 0

=> x(x + 60) – 50(x + 60) = 0

=> (x+ 60) (x—50)=0

=> (x — 50) = 0

x = 50 or x + 60 = 0

x = – 60 Which is not acceptable.

The number of students who were travelling is (x + 10) = 50 + 10 = 60.

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