Question

’In a public transport bus, 52% of the passengers are males and are 26 in number. Rest are females. Find the number of passengers travelling in the bus.’

Answer 1

Given:

In a public transport bus, 52% of the passengers are males and are 26 in number.

Rest are females

To find:

The number of passengers travelling in the bus

Solution:

Let "x" represent the total number of passengers travelling in the bus.

So, we have

No. of males = 52% of the total passengers = $52\% \:of\: x$

But, the no. of males are given to be 26.

Therefore, we can form an equation as:

$52\%\:of \:x = 26$

$\implies \frac{52}{100}\times \:x = 26$

$\implies x = \frac{26 \times 100}{52}$

$\implies x = \frac{2600}{52}$

dividing both numerator and denominator by 13

$\implies x = \frac{200}{4}$

$\implies \bold{x = 50}$

Thus, the number of passengers travelling in the bus is → 50.

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