A is 50% more than B, C is 2/3 of A and D is 60% more than C. Now, each of A, B, C, and D is increased by 10%. Find what per cent of B is D (after the increase)

A is 50% more than B, C is 2/3 of A and D is 60% more than C. Now, each of A, B, C, and D is increased by 10%. Find what per cent of B is D (after the increase)
1). 150%
2). 160%
3). 175%
4). 176%

$B=x$

$A=1.5x$

$C=\frac{2}{3}\times A=\frac{2}{3}\times 1.5x=x$

$D=1.6x$

After increasing each by 10%:

$A^{\prime }=1.1\times 1.5x=1.65x$

$B^{\prime }=1.1\times x=1.1x$

$C^{\prime }=1.1\times x=1.1x$

$D^{\prime }=1.1\times 1.6x=1.76x$

Now, calculating the percentage of $B^{\prime }$ in $D^{\prime }$:

$\frac{D^{\prime }}{B^{\prime }}\times 100=\frac{1.76x}{1.1x}\times 100=160\mathrm{\%}$

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