Q.The marked price of a set of furniture is ₹25,000. A shop offers successive discounts of 10% and 5%. Find

Apply 10% then 5% to the marked price; the total reduction gives the single equivalent discount.

1. Selling price. Apply the discounts one after the other:

   $\text{S.P.}=25000\times\Big(1-\tfrac{10}{100}\Big)\times\Big(1-\tfrac{5}{100}\Big)=25000\times 0.90\times 0.95.$

   Now $25000\times0.90=22500$ and $22500\times0.95=21375$, so the selling price is ₹21,375.
2. Single equivalent discount. $D=d_1+d_2-\frac{d_1 d_2}{100}=10+5-\frac{10\times 5}{100}=15-0.5=14.5\%.$ …

Taking the second $5\%$ on the original ₹25,000 rather than on the reduced ₹22,500, or adding the discounts …