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# By what percentage should the volume be decreased to increase the pressure by 10% at constant temperature?

(A) 10% (B) 1% (C) 9% (D) 11%

At constant temperature, $P_1 V_1 = P_2 V_2$
Pressure is increased by 10% $\rightarrow P_1 V_1= 1.1 P_1 V_2$
$\Rightarrow V_2 = \large\frac{1}{1.1}$$V_1$$= 0.9 V_1 \rightarrow$ Decrease in volume by 9%