d Word Problems 1 | Job Exam Rare Mathematics (JEMrare) - Solved MCQs
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Word Problems 1

Problem 1 : Rs 49 were divided among 150 children, each girl has 50 pasisas and each boy 25 pasas. How many boys were there?

a) 100     b) 104        c) 50           d) 70



Solution:

We first convert amount in rupees to paisas. Since there are 100 paisas in 1 Re, so ;

\Rightarrow Paisas In 49 Rs=49\times 100= 4900

Each boy gets 25 paisas and each girl gets 50 paisas. Now let’s suppose there are ‘x’ boys and ‘y’ girls – so, total children are x+y which is equale to 150 (given);

Data can be arranged as;

so, we can get two equations from there;

Total paisas;

25x+50y=4900----(1)

Total children

x+y=150 ----(2)

Multiply eq 2 by 50 from both sides, we get;

50x+50y=50 \times 150

50x+50y=7500 ----(3)

subtracting eq (1) from (3)

50x+50y=7500 ----(3)

25x+50y=4900----(1)

————————————-

\Rightarrow 25x = 2600

\Rightarrow x =\frac{2600}{25}

\Rightarrow x =104

So, there were 104 boys

 

 

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