Comparing Quantities

Question

Find the whole quantity if
(a) 5% of it is 600 (b) 12% of it is 1080
(c) 40% of it is 500 km (d) 70% of it is 14 minutes
(e) 8% of it is 40 litres

Solution

(a) 5% of x = 600

$\frac{5}{100} \times x = 600 x = 600 \times \frac{100}{5} = 12000$

(b) 12% of x = Rs 1080

$\frac{12}{100} \times x = R s 1080 x = R s 1080 \times \frac{100}{12} = R s 9000$

$\frac{40}{100} \times x = 500 k m x = 500 \times \frac{100}{40} = 1250 k m$

(d) 70% of x = 14 min

$x \times \frac{70}{100} = 14 m i n x = 14 \times \frac{100}{70} = 20 m i n$

(e) 8% of x = 40 L

$x \times \frac{8}{100} = 40 L x = 40 \times \frac{100}{8}$

= 500 L