The electricity bill of a transportation company is partly fixed and partly varies as the number of ...........

Quantitative Aptitude ( CCS) Ratio, Proportion

The electricity bill of a transportation company is partly fixed and partly varies as the number of units of electricity consumed. When in a certain month 1080 units are consumed, the bill is Rs 4000. In another month 1330 units are consumed and the bill is Rs. 4500. In yet another month 450 units are consumed. The bill for that month would be :

Rs. 4250

Rs. 2500

Rs. 2440

Rs. 3000

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Explanation:

Let the fixed amount be Rs. x and the cost of each unit be Rs. y. Then,
1080y + x = 4000 ... (i) and
1330y + x = 4500 ... (ii)
On subtracting (i) from (ii), we get 250y = 500 <=> y = 2.
Putting y = 2 in (i), we get:
1080 x 2 + x = 4000 <=> x = (4000 - 2160) = 1540
Fixed charges = Rs. 1540, Charge per unit = Rs. 2
Total charges for consuming 450 units = Rs. (1540 + 450 x 2) = Rs. 2440