A) \[Rs.(2{{x}^{3}}-18{{x}^{2}}-15)\]
B) \[Rs.(4{{x}^{2}}+2x+3)\]
C) \[Rs.({{x}^{3}}-3x)\]
D) \[Rs.(2{{x}^{3}}+2{{x}^{2}}-15)\]
Correct Answer: A
Solution :
Total amount Raghav had \[=Rs.\,(6{{x}^{3}}+2{{x}^{2}}+3x)\] Cost of one shirt \[=Rs.(x+5)\] Number of shirts he bought \[=4{{x}^{2}}+3\] \[\therefore \] Amount spent by him \[=Rs.(x+5)\,(4{{x}^{2}}+3)\] \[=Rs.(4{{x}^{3}}+20{{x}^{2}}+3x+15)\] Hence, money left with Raghav \[=Rs.\,(6{{x}^{3}}+2{{x}^{2}}+3x-4{{x}^{3}}-20{{x}^{2}}-3x-15)\]\[=Rs.\,(2{{x}^{3}}-18{{x}^{2}}-15)\]
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