Question

The cost of 3 duck eggs is same as 4 hen eggs and the cost of 4 swan eggs is same as 7 duck eggs. Given that the cost of 2 hen eggs is ₹ 8, then find the cost of swan’s egg.

Answer 1

7 duck eggs = 4 swan eggs
1 duck egg = $\frac{4}{7}$ swan eggs
3 duck eggs = $\frac{4\times 3}{7}$ = $\frac{12}{7}$ swan eggs = 4 hen eggs (Given)
Cost of 2 hen eggs = ₹ 8
Cost of 1 hen egg =₹ 4
Cost of 4 hen eggs = ₹ 16 = cost of $\frac{12}{7}$ swan eggs
Cost of $\frac{12}{7}$ swan eggs = ₹ 16
Cost of 1 swan egg = $\frac{16}{\frac{12}{7}}$ =₹ 9.33