Question

The cost of 2 mangoes cost is ₹ 8 and that of 3 oranges is ₹ 6. Let the total cost of these 5 fruits be ₹ X. If the total cost of 1 mango and 1 orange is ₹ Y. Express the ratio X:Y in its simplest form.

• A. 3 : 7
• B. 7 : 3
• C. 14 : 3
• D. 14 : 6

Answer 1

The correct option is B 7 : 3

Given,
2 mangoes cost ₹ 8
$\Rightarrow$ 1 mango costs $\frac{8}{2}=₹4$

Similarly,
3 oranges cost ₹ 6
$\Rightarrow$ 1 orange cost $\frac{6}{3}=₹2$

Given,
X = Cost of 2 mangoes and 3 oranges
= 8 + 6 = ₹ 14

Also,
Y = Cost of 1 mango + Cost of 1 orange
= 4 + 2
= ₹ 6

$\therefore$ X : Y $\Rightarrow$ 14 : 6
Simplest form $\Rightarrow$ $2\times 7:2\times 3=7:3$

$\therefore$ Simplest form of X : Y is 7 : 3