$\dfrac{SP_{1}-x}{x}\times 100=10\ \ \ ..........(1)$
$\dfrac{SP_{2}-(100,000-x)}{100,000-x}\times 100=12\ \ \ ..........(2)$
$SP_{1}=\dfrac{110x}{100}$ $SP_{2}=\dfrac{11200000-112x}{100}$
$SP_{1}+SP_{2}=\dfrac{11200000-2x}{100}$
$\dfrac{SP_{1new}-x}{x}\times 100=12\ \ \ ..........(3)$
$\dfrac{SP_{2new}-(100,000-x)}{100,000-x}\times 100=10\ \ \ ..........(4)$
$SP_{1new}=\dfrac{112x}{100}$ $SP_{2new}=\dfrac{11000000-110x}{100}$
$SP_{1new}+SP_{2new}=\dfrac{11200000+2x}{100}$
$SP_{1}+SP_{2}-SP_{1new}+SP_{2new}=120$
$\dfrac{11200000-2x}{100}-\dfrac{11200000+2x}{100}=120$
$200000-4x=12000$
$x=47,000$
$100,000-x=53,000$
$Ratio= 47:53$