Find the whole quantity if:
(a) 5% of it is 600.
(b) 12% of it is Rs. 1080.
(c) 40% of it is 500 km.
(d) 70% of it is 14 minutes.
(e) 8% of it is 40 liters.
(a) Let the quantity be x
Therefore,
5 % of x = 600
5 % × x = 600
× x = 600
x = 600 ×
= 120 × 100
= 12000
Thus, the quantity is 12,000
(b) Let the quantity be x
Therefore,
12 % of x = 1080
12 % × x = 1080
× x = 1080
x = 1080 ×
= 90 × 100
= Rs 9000
Thus, the quantity is Rs 9,000
(c) Let the quantity be x
Therefore,
40 % of x = 500
40 % × x = 500
× x = 500
x = 500 ×
= 12.5 × 100
= 1250 km
Thus, the quantity is 1250 km
(d) Let us assume the quantity to be x
Therefore,
70 % of x = 14
= 70 % × x = 14
= × x = 14
x = 14 ×
= 2 × 10
= 20 min
Thus, the quantity is 20 min
(e) Let us assume the quantity to be x
Therefore,
8 % of x = 40
= 8 % × x = 40
= × x = 40
x = 40 ×
= 5 × 100
= 500 L
Thus, the quantity is 500 L