Question:
A man’s petrol bill in July is Rs. 200. In August, the price of petrol increases by 10% and his consumption is reduced by 10%. Find his petrol bill in August.
A man’s petrol bill in July is Rs. 200. In August, the price of petrol increases by 10% and his consumption is reduced by 10%. Find his petrol bill in August.
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When dealing with percentage increases and decreases, always remember to use the ratios and apply them to the original bill to get the final amount.
Updated On: Mar 10, 2025
- Rs. 190
- Rs. 210
- Rs. 200
- Rs. 198
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The Correct Option is D
Solution and Explanation
Given:
- The price of petrol increases by 10%, so the new price becomes:
\[
\text{New price} = 100 + 10% = 110 \, \text{(in percentage terms)}.
\]
- The consumption is reduced by 10%, so the new consumption becomes:
\[
\text{New consumption} = 100 - 10% = 90 \, \text{(in percentage terms)}.
\]
We are given that the original petrol bill in July was Rs. 200. This bill is calculated by:
\[
\text{Petrol bill} = \text{Price} \times \text{Consumption} = 100 \times 100 = 10000.
\]
Now, for August:
- The new price is Rs. 110, and the new consumption is 90.
Thus, the petrol bill in August will be:
\[
\text{Petrol bill in August} = 110 \times 90 = 9900.
\]
The ratio of change in price and consumption is:
\[
\frac{100}{99} = \frac{100}{200}.
\]
This gives:
\[
99 \times 2 = 198.
\]
So, the correct answer is (d) Rs. 198.
Final Answer: The correct answer is (d) Rs. 198.
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