Car Price Ratio Cabb59
1. **State the problem:** We are given the price ratio of three types of cars: Suzuki Swift, Ford Fiesta, and Honda Jazz as $3 : x : 4$. The total price of all three cars is 300000. The price of Suzuki Swift is 90000. We need to find the value of $x$.
2. **Write the ratio and known values:**
- Suzuki Swift price = $3k = 90000$
- Ford Fiesta price = $xk$
- Honda Jazz price = $4k$
- Total price = $3k + xk + 4k = 300000$
3. **Find $k$ using Suzuki Swift price:**
$$3k = 90000 \implies k = \frac{90000}{3} = 30000$$
4. **Express total price in terms of $k$ and $x$:**
$$3k + xk + 4k = (3 + x + 4)k = (7 + x)k = 300000$$
5. **Substitute $k = 30000$ into total price equation:**
$$ (7 + x) \times 30000 = 300000$$
6. **Solve for $x$:**
$$7 + x = \frac{300000}{30000} = 10$$
$$x = 10 - 7 = 3$$
**Final answer:** The value of $x$ is **3**.