A man purchased 20 dozen mangoes for ₹1,000. Out of these, 40 mangoes were rotten and could not be sold. At what rate per dozen should he sell the remaining mangoes to make a profit of 30%?
The ratio of two numbers is 4 : 5. If 6 is added to both the numbers, then their ratio becomes 6 : 7. Find the smallest original number (before addition).