The selling price of an article after giving two successive discounts of 10% and 5% on the marked price is Rs. 171. What is the marked price?

Equivalent Discount,
=(A + B) - $$ {\frac{{{\text{AB}}}}{{100}}} $$
= (10 + 5) - $$ {\frac{{10 \times 5}}{{100}}} $$
= 14.5%
Let MP = X
Now,
X - 14.5% of X = 171(Selling Price)
0.855X = 171
X = 200
Hence, MP = Rs. 200

Going through options,
200(MP) == 10%(disc.) ⇒ 180 == 5%(disc.) ⇒ 171(CP)