Eight mangoes and five oranges cost ₹164, while five mangoes and eight oranges cost ₹148. Determine the cost of three mangoes and three oranges.
₹72
Let the cost of a mango be \(m\) and an orange be \(n\).
Then \(8m + 5n = 164\) and \(5m + 8n = 148\).
Add the two equations: \(13m + 13n = 312\).
Divide by 13: \(m + n = 24\).
Cost of three mangoes and three oranges \(= 3(m + n) = 3 \times 24 = 72\).
Hence, three mangoes and three oranges cost ₹72.
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