The ratio of market prices of wheat and paddy is 2:3 and the ratio of quantities consumed in a family is 5:4. Find the ratio of expenditure of wheat and paddy.

To find the ratio of expenditure on wheat and paddy, we can use the formula:

\[
\text{Expenditure} = \text{Price} \times \text{Quantity}
\]

We are given:
- The ratio of market prices of wheat to paddy = $ 2:3 $
- The ratio of quantities consumed of wheat to paddy = $ 5:4 $

So, the ratio of expenditure will be:

\[
\text{Expenditure ratio} = \left(\frac{\text{Price of wheat}}{\text{Price of paddy}}\right) \times \left(\frac{\text{Quantity of wheat}}{\text{Quantity of paddy}}\right)
\]

Substitute the values:

\[
\text{Expenditure ratio} = \left(\frac{2}{3}\right) \times \left(\frac{5}{4}\right) = \frac{10}{12} = \frac{5}{6}
\]

Thus, the ratio of expenditure on wheat and paddy is $ 5:6 $.

Would you like further details or clarification?

Here are 5 related questions to explore further:
1. If the total expenditure on wheat and paddy is \$660, how much is spent on each?
2. How does the ratio of expenditure change if the price ratio becomes 3:2?
3. If the price of wheat increases by 20%, how does it affect the expenditure ratio?
4. What is the total expenditure if 20 units of wheat and 16 units of paddy are consumed?
5. How would the expenditure ratio change if the quantity of wheat consumed decreases?

**Tip:** Always check the units of price and quantity to ensure consistency when calculating expenditures.

Learn how to calculate the expenditure ratio of wheat and paddy using the given price and quantity ratios. This problem involves ratios, proportions, and basic multiplication suitable for students in Grades 6-8.

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