A) \[x<Rs.\,3000\]
B) \[Rs.\,3000<x<Rs.\,4000\]
C) \[Rs.\,4000<x<Rs.\,5000\]
D) \[x>Rs.\,5000\]
Correct Answer: B
Solution :
Given that, \[P=Rs.\,24000,\] \[R%=10%\] per annum \[=5%\] per half yr \[T=1\frac{1}{2}yr=\frac{3}{2}\times 2\,yr=3\,\text{half}\,\,\text{yr}\] \[\because \] \[CI=P\left[ {{\left( 1+\frac{R}{100} \right)}^{T}}-1 \right]\] \[\therefore \] \[CI=24000\left[ {{\left( 1+\frac{5}{100} \right)}^{3}}-1 \right]\] \[=24000\left[ {{\left( \frac{21}{20} \right)}^{3}}-1 \right]=24000[{{(1.05)}^{3}}-1]\] \[=24000\times 0.1576=3782.4\] But \[CI=x\] Therefore, \[Rs.\,3000\text{ }<x<Rs.\,4000\]
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