Question

the weekly wages of a man and a boy engaged for the same kind of work is Rs. 80 and Rs. 35 respectively. If the wages of both are increased by the same amount of man's wages is 8/5 of the boy's wages.
What is the increase?​

Answer 1

❏ Question:-

The weekly wages of a man and a boy engaged for the same kind of work is Rs. 80 and Rs. 35 respectively. If the wages of both are increased by the same amount of man's wages is 8/5 of the boy's wages.

What is the increase?

❏ Solution:-

•Given:-

➝Wages of man= 80 Rs.

➝Wages of the boy= 35 Rs.

•Condition:-

➝ If the wages of both are increased by the same amount of man's wages is 8/5 of the boy's wages.

•To Find:-

➝What is the increase in wages=??

•$\underline{\bf Solu{}^{n}}$

Let, the increase in wages amount is = X Rs

Now, new wages of,

➔man=(80+X) Rs.

➔man=(80+X) Rs.➔boy=(35+X) Rs.

Now, according to the condition,

$\sf\longrightarrow \bf (80+X)=\frac{8}{5}\times (35+X)$

$\sf\longrightarrow 5\times (80+X)=8\times (35+X)$

$\sf\longrightarrow 5\times 400+5X=280+8X$

$\sf\longrightarrow 5\times 8X-5X=400-280$

$\sf\longrightarrow 3X=\frac{\cancel{120}}{\cancel3}$

$\sf\longrightarrow \bf \boxed{\red{\large{ X= 40 \:\:Rs}}}$

∴ Increase in wages was = 40 Rs.

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$\underline{ \huge\mathfrak{hope \: this \: helps \: you}}$

Answer 2

-------☺️Increase in wage = ₹40☺️---------