Question
If an electricity bill is paid before due date, one gets a reduction of 4% on the amount of the bill. By paying the bill before due date a person got a reduction of Rs. 13. The amount of his electricity bill was = ?
Answer: Option C
Let the amount of bill = Rs. x
According to the question,
$$\eqalign{
& \Rightarrow \frac{{4x}}{{100}} = 13 \cr
& x = \frac{{13 \times 100}}{4} \cr
& x = {\text{Rs}}{\text{. 325}} \cr} $$
Alternate :Let the amount of bill = 100 units
4% of 100 units = 4 units
$$\eqalign{
& \therefore \,{\text{ 4 units}} = {\text{ 13}} \cr
& \Rightarrow \,{\text{1 unit}} = \frac{{13}}{4} \cr
& \Rightarrow 100\,{\text{units = }}\frac{{13}}{4} \times 100 \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{. 325}} \cr} $$
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Let the amount of bill = Rs. x
According to the question,
$$\eqalign{
& \Rightarrow \frac{{4x}}{{100}} = 13 \cr
& x = \frac{{13 \times 100}}{4} \cr
& x = {\text{Rs}}{\text{. 325}} \cr} $$
Alternate :Let the amount of bill = 100 units
4% of 100 units = 4 units
$$\eqalign{
& \therefore \,{\text{ 4 units}} = {\text{ 13}} \cr
& \Rightarrow \,{\text{1 unit}} = \frac{{13}}{4} \cr
& \Rightarrow 100\,{\text{units = }}\frac{{13}}{4} \times 100 \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{. 325}} \cr} $$
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