Final answer:
To find the number of mangoes and oranges bought, we can set up a system of equations involving the cost of mangoes and oranges. Solving this system will give us the desired values.
Step-by-step explanation:
To solve this problem, we can set up a system of equations. Let's denote the number of dozens of mangoes as 'm' and the number of scores of oranges as 'n'.
The cost of buying mangoes is Rs 3 per dozen, so the cost of buying 'm' dozens of mangoes is 3m.
The cost of buying oranges is Rs 4 per score, so the cost of buying 'n' scores of oranges is 4n.
According to the problem, the person spent Rs 68, so we have the equation 3m + 4n = 68.
If the person had bought half the number of mangoes and twice the number of oranges, the cost would have been 14 Rs more, so we have the equation 3(m/2) + 4(2n) = 68 + 14.
Simplifying the second equation, we get 1.5m + 8n = 82.
Now we can solve these two equations simultaneously to find the values of 'm' and 'n', which represent the number of dozens of mangoes and scores of oranges bought, respectively.