Aptitude Discussion

Q. |
Weights of two friends Ram and Shyam are in the ratio 4:5. If Ram's weight is increased by 10% and total weight of Ram and Shyam become 82.8 kg, with an increases of 15%, by what percent did the weight of Shyam has to be increased? |

✖ A. |
17% |

✔ B. |
19% |

✖ C. |
23% |

✖ D. |
29% |

**Solution:**

Option(**B**) is correct

Let, Shyam's weight, $S$ has been increased by $x\%$.

and as per the question Ram's weight, $R$ is increased by 10%,

Ram $(R)$ Shyam $(S)$

$(10\%)$ $(x\%)$

\ /

mean

$(15\%)$

/ \

$(x-15)\%$ : $(15-10)\%$

Now, given ratio of Ram and Shayam's weight,

$\dfrac{R}{S}= \dfrac{4}{5}$

$\Rightarrow \dfrac{x-15}{15-10} = \dfrac{4}{5}$

$\Rightarrow \textbf{x = 19%}$

**Deepak**

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**Akshaya**

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10% is the increase in percentage weight of ram. What does (x-15)% denote?

This is the difference between the desired and current values. This is a standard step used in the Alligation technique.

You can learn more about it in the Alligation Introduction Section.

Ration is given for initial weight, not for resultant weight after increasing