Q. If on a marked price, the difference of selling prices with a discount of 30% and two successive discounts of 20% and 10% is 72 Rs. then what would be the marked price (in rupees):
Answer: 3600 Rs.
Notes: Let the marked price be x Rs. ∴ SP $latex = \frac{70x}{100}Rs. &s=1$ Single discount equivalent to successive discounts of 20% and 10%. $latex = \left ( 20+10-\frac{20\times 10}{100} \right )\% = 28\%&s=1$ ∴ SP $latex = \frac{72x}{100}&s=1$ $latex \therefore \frac{72x}{100} - \frac{70x}{100} = 72&s=1$ $latex => \frac{2x}{100} = 72&s=1$ $latex \therefore x = \frac{72\times 100}{2} = 3600 Rs.&s=1$ Hence option [D] is correct answer.