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The profit percentage earned by shop X on selling article R at 1:30 pm is 42.5%. Find the profit percentage by the same shop on selling the article T at 2:30 pm.

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**Solution:**

1. Let cost price of article R be Rs. $5000 + a$.
2. Marked price of article R is Rs. $12b$.
3. Given $a = 3b$, so marked price of article R = Rs. $4a$.
4. Discount on article R = $\frac{a}{5}$.
5. Selling price of article R = $4a - \frac{a}{5} = \frac{19a}{5}$.

6. Given profit percentage on article R is 42.5%, so:
   $$
   \text{Profit} = \frac{\text{SP} - \text{CP}}{\text{CP}} \times 100 = 42.5\% = \frac{57}{40}
   $$

7. Using the profit formula:
   $$
   (5000 + a) \times \frac{57}{40} = \frac{19a}{5}
   $$

8. Multiply both sides by 40 to clear denominator:
   $$
   57(5000 + a) = 152a
   $$

9. Expanding:
   $$
   285000 + 57a = 152a
   $$

10. Rearranging:
    $$
    285000 = 152a - 57a = 95a
    $$

11. Solving for $a$:
    $$
    a = \frac{285000}{95} = 3000
    $$

12. Since $a = 3b$, then:
    $$
    3000 = 3b \implies b = 1000
    $$

13. Cost price of article T = Rs. $8000 + a = 8000 + 3000 = 11000$.
14. Marked price of article T = $25 \times b = 25 \times 1000 = 25000$.
15. Discount on article T = $\frac{b}{5} = \frac{1000}{5} = 200$.
16. Selling price of article T = $25000 - 200 = 24800$.

17. Profit percentage on article T:
    $$
    \frac{24800 - 11000}{11000} \times 100 = \frac{13800}{11000} \times 100 = 125.45\% 
    $$

**Answer:** 125.45\%

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