Question

Reena reduces her weight in the ratio $$5 : 4$$. What is her weight now, if originally it was $$70 \text{ kg}$$?

Answer 1

Ratio of original weight to reduced weight = $$5 : 4$$.

Let the reduced weight be $$w\text{ kg}$$.

Then, $$\frac{70}{w} = \frac{5}{4}$$.

Cross-multiply: $$5w = 70 \times 4 = 280$$

$$w = \frac{280}{5} = 56\text{ kg}$$

Therefore, her weight now is $$56\text{ kg}$$.