Question 120

The salaries of Raju and Peter are in the ratio 3 : 5. If the salary of each is increased by ₹2,500, then the new ratio is 11 : 15. What is Peter's salary?

Solution

Given that the ratio of Raju and Peter = 3: 5

let proportionality constant constant be  $$= x$$

So, Raju will get= $$3x$$

And Peter will get = $$5x$$

Now,

$$\dfrac {3x+2500}{5x +2500} =\dfrac{11}{15} $$(according to question, increased salary)

$$(3x +2500) \times 15 = (5x+2500) \times 11$$

$$\Rightarrow 45 x + 37500 = 55 x + 27500 $$

$$\Rightarrow  10 x = 10000 $$

$$\Rightarrow  x = 1000 $$

Hence, peter's salary will be = $$5x$$ = $$ 5 \times1000 $$

peter salaries  $$= 5000 $$Ans


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