A shopkeeper marks an article at 60\% above its cost price and offers a 15\% discount on the marked price. He makes a profit of Rs 72. If instead, he had given a 30\% discount on the marked price, what would have been his profit (in Rs)?

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**Solution:**

1. Let the cost price (CP) of the article be $ x $.

2. The marked price (MP) is 60\% above the cost price:
   $$
   MP = x + 0.60x = 1.60x
   $$

3. The shopkeeper gives a 15\% discount on the marked price, so the selling price (SP) is:
   $$
   SP = $$MP - 15\% \times MP = 1.60x \times (1 - 0.15) = 1.60x \times 0.85 = 1.36x$$
   $$

4. Profit is given as Rs 72, so:
   $$
   \text{Profit} = SP - CP = 1.36x - x = 0.36x = 72
   $$

5. Solving for $ x $:
   $$
   $$0.36x = 72 \implies x = \frac{72}{0.36} = 200$$
   $$

6. Now, if the discount is 30\%, the new selling price will be:
   $$
  $$ SP_{new} = MP \times (1 - 0.30) = 1.60x \times 0.70 = 1.12x$$
   $$

7. Calculate the new profit:
   $$
  $$ \text{Profit}_{new} = SP_{new} - CP = 1.12x - x = 0.12x = 0.12 \times 200 = 24$$
   $$

**Answer:** Rs 24

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