Mass percent essentially means g of HCl/total grams of solution (x100%). So, in this problem we already know the total mass = 125.0 g. If we can find the mass of HCl, we can then easily solve for mass percent. To find mass of HCl, we will first find the moles of HCl and then convert to grams of HCl
10 M = 10 moles/L
10 moles/L x 0.02350 L = 0.2350 moles HCl used
Converting this to grams: 0.2350 moles HClx 36.5 g/mole = 8.578 g HCl present
mass percent = mass HCl/Total mass (x100%) = 8.578 g/125.0 g (x100%) = 6.86%