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Q.

Sahil earns 10 percent more than Satish and satish earns 20 percent more than Swati. if swati earns rs 17,500 less than Sahil, what is the earnings of each?

 A.

Swati = Rs. 35,900.0, Sahil = Rs. 53,400.0, Satish = Rs. 58,740.0

 B.

Swati = Rs. 39,500.0, Sahil = Rs. 57,000.0, Satish = Rs. 62,700.0 

 C.

Swati = Rs. 54,687.5, Sahil = Rs. 72,187.5, Satish = Rs. 65,625.0 

 D.

Swati = Rs. 69125.0, Sahil = Rs. 86,625.0, Satish = Rs. 95,287.5 

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Solution:
Option(C) is correct

Let Swati earns Rs. $x$.

Satish earns $= x + 20/% of x = 1.2x$

Sahil earns $= 1.2x + 10/% of 1.2x = 1.32x.$

Earning difference of Sahil and Swati $= 17,500$

$1.32x - x = 17,500$

$0.32x = 17,500$

$\Rightarrow x = \dfrac{17500}{0.32}$

$\Rightarrow x = \text{Rs. }54,687.5$

So, Swati's earnings, 

$x= \textbf{Rs. 54,687.5}$

Sahil's earnings, 

$= 1.32\times x$

$=1.32 \times \text{Rs. } 54,687.5$

$=\textbf{Rs. 72,187.5}$

Satish's earnings,

$=1.2\times x$

$=1.2 \times \text{Rs. } 54,687.5$

$=\textbf{Rs.  65,625.0}$

Edit: For an alternative method check Suzen's comment.


(7) Comment(s)


Twinkle
 ()

the only option where sahil's earnings are more than Satish's - is option C, hence the answer.



Aman Sharma
 ()

so easy for this type



Tarun
 ()

Well, an easy way to do this...

just go for options, you'll find that the conditions are satisfied in option(c) while in all others Satish earns more than Sahil i.e not possible.

Thankyou



KARTIK
 ()

shortest way is to just quickly check the options

compare salary of swati and sahil

question says the diff b/w there salary is 17500

the only option that satisfies this is C.

(only for this question)


Deepak
 ()

Updated options, now this trick won't work.

P.S. It was a good observation.

Shobhan
 ()

Still we can use the following short trick

The question says that SAHIL EARNS 10% MORE THAN SATISH

Only in C Option, the salary of SAHIL is more than SATISH


Suzen
 ()

Another method (Unitary method)

Let Swati earns Rs. 100.

Satish earns = 100 + 20% of 100 = 120.

Sahil earns = 120 + 10% of 120 = 132.

Earning difference of Sahil and Swati = 17500

132 - 100 = 17500

32 = 17500

1 = 17500/32

100 = (17500 * 100)/32 = Rs. 54687.5.

So, Swati's earnings = Rs. 54687.5.

Sahil's earnings = Rs. 72187.5.

Satish's earning = 54687.5 + 20% of 54687.5 = Rs. 65625.