Aptitude Discussion

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 |

**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**.

**KARTIK**

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Updated options, now this trick won't work.

P.S. It was a good observation.

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**

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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.

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)