1(x)
A mixture of paint is prepared by mixing 2 parts of red pigments with 5 parts of the base. Using the given information in the following table, find the values of a, b and c to get the required mixture of paint.
| Parts of red pigment | Parts of base |
|---|---|
| 2 | 5 |
| 4 | a |
| b | 12.5 |
| 6 | c |
- (a)a = 10, b = 10, c = 10
- (b)a = 5, b = 2, c = 5
- (c)a = 10, b = 5, c = 10
- (d)a = 10, b = 5, c = 15
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Given,
2 parts of red pigments is mixed with 5 parts of the base.
$$\begin{aligned}\therefore \frac{4}{a} = \frac{2}{5} \\[1em] \Rightarrow a = \frac{4 \times 5}{2} = \frac{20}{2} = 10. \\[1em] \therefore \frac{b}{12.5} = \frac{2}{5} \\[1em] \Rightarrow b = \frac{2}{5} \times 12.5 = 2 \times 2.5 = 5 \\[1em] \therefore \frac{6}{c} = \frac{2}{5} \\[1em] \Rightarrow c = \frac{6 \times 5}{2} = 3 \times 5 = 15.\end{aligned}$$
Hence, Option 4 is the correct option.