5. Find the whole quantity if \( \begin{array}{lll}\text { (a) } 5 \% \text { of it is } 600 & \text { (b) } 12 \% \text { of it is ₹1080. } & \text { (c) } 40 \% \text { of it is } 500 \mathrm{~km} \text {. } \\ \text { (d) } 70 \% \text { of it is } 14 \text { minutes. } & \text { (e) } 8 \% \text { of it is } 40 \text { litres. }\end{array} \)

To find the whole quantity when a certain percentage of it is given, you can use the formula: \[ \text{Whole Quantity} = \frac{\text{Given Part}}{\text{Percentage (in decimal form)}} \] Let's solve each part step by step. --- ### **(a) 5% of it is 600** **Given:** \[ 5\% \text{ of } \text{Whole} = 600 \] **Calculation:** \[ \text{Whole} = \frac{600}{0.05} = 12,000 \] **Answer:** **12,000** --- ### **(b) 12% of it is ₹1080** **Given:** \[ 12\% \text{ of } \text{Whole} = ₹1080 \] **Calculation:** \[ \text{Whole} = \frac{1080}{0.12} = ₹9,000 \] **Answer:** **₹9,000** --- ### **(c) 40% of it is 500 km** **Given:** \[ 40\% \text{ of } \text{Whole} = 500 \text{ km} \] **Calculation:** \[ \text{Whole} = \frac{500}{0.40} = 1,250 \text{ km} \] **Answer:** **1,250 km** --- ### **(d) 70% of it is 14 minutes** **Given:** \[ 70\% \text{ of } \text{Whole} = 14 \text{ minutes} \] **Calculation:** \[ \text{Whole} = \frac{14}{0.70} = 20 \text{ minutes} \] **Answer:** **20 minutes** --- ### **(e) 8% of it is 40 litres** **Given:** \[ 8\% \text{ of } \text{Whole} = 40 \text{ litres} \] **Calculation:** \[ \text{Whole} = \frac{40}{0.08} = 500 \text{ litres} \] **Answer:** **500 litres** --- By applying the percentage formula, you can easily find the whole quantity in each scenario.