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


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