Question : A man hired a domestic helper under the agreement to pay him Rs. 90 and provide a turban after one year of service. However, the domestic helper worked only for nine months and received Rs. 65 along with the turban. Determine the price of the turban.
Option 1: Rs. 25
Option 2: Rs. 18.75
Option 3: Rs. 10
Option 4: Rs. 2.50
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Correct Answer: Rs. 10
Solution :
Let the price of the turban be Rs. $x$.
Condition:
12 month payment $= 90 + x$
1 month payment $= \frac{90+x}{12}$
9 month payment = $\frac{90+x}{12}×9$
He worked for 9 months and got Rs. 65 and a turban.
$\frac{90+x}{12} × 9 = 65 + x$
⇒ $\frac{90+x}{4} × 3 = 65 + x$
⇒ $270 + 3x = 260 + 4x$
$\therefore x = 10$
Hence, the correct answer is Rs. 10.
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