The ratio of the market prices of gram and pea is 2 : 5, and the ratio of the quantities consumed by a family is 4 : 3. Find the ratio of the expenditure on gram to pea.​

Correct option is C

Given:
The ratio of the market prices of gram and pea is 2 : 5.
The ratio of the quantities consumed by a family is 4 : 3.
Formula Used:
Expenditure = Price × Quantity.
Expenditure ratio = $$\left( \frac{\text{Price of gram}}{\text{Price of pea}} \right) \times \left( \frac{\text{Quantity of gram}}{\text{Quantity of pea}} \right)$$​​
Solution:
​$$\frac{\text{Price of gram}}{\text{Price of pea}} = \frac{2}{5}\\\ \\\frac{\text{Quantity of gram}}{\text{Quantity of pea}} = \frac{4}{3}\\\ \\\frac{\text{Expenditure on gram}}{\text{Expenditure on pea}} = \left( \frac{2}{5} \right) \times \left( \frac{4}{3} \right) = \frac{8}{15}\\\$$
Alternate Method: