The price of a shirt is first increased by 15% and then decreased by 12%, and again increased by 8%. Find the net increase or decrease percentage (correct to one decimal place) in the price of the shirt.
The price of a shirt is first increased by 15% and then decreased by 12%, and again increased by 8%. Find the net increase or decrease percentage (correct to one decimal place) in the price of the shirt.
एक शर्ट की कीमत में पहले 15% की वृद्धि हुई और फिर 12% की कमी हुई, और एक बार फिर 8% की वृद्धि हुई। शर्ट की कीमत में निवल वृद्धि या कमी प्रतिशत ( दशमलव के एक स्थान तक सही) ज्ञात कीजिए।
Detailed Solution & Logic
Correct Answer:
Decrease of 10.6% / 10.6 की कमी
Let the original price of the shirt be
After 15% increase: $ P_1 = P(1 + 0.15) = 1.15P $
After 12% decrease: $ P_2 = P_1(1 - 0.12) = 1.15P \times 0.88 = 1.012P $
After 8% increase: $ P_3 = P_2(1 + 0.08) = 1.012P \times 1.08 \approx 1.09296P $
Net increase % = $\frac{P_3 - P}{P} \times 100 = (1.09296 - 1) \times 100 \approx 9.3% $
Ans = 9.3%
Similar Practice Questions
When 75% of a number is added to 75, the result is the number itself. What is the number?
When 75% of a number is added to 75, the result is the number itself....
A reduction of 20% in the price of sugar enables a person to buy 5 kg more for Rs. 200. What is the original price per kg?
A reduction of 20% in the price of sugar enables a person to buy 5...
Rahul saves his monthly salary in the following manner: he invests ₹12,000 in mutual funds, which accounts for 15% of his salary. From the remaining amount, he allocates 25% to a children’s education policy, and from the remaining amount after that, he spends 10% on health insurance. Find his total monthly savings.
Rahul saves his monthly salary in the following manner: he invests ₹12,000 in mutual funds, which...
The number of subscribers increased consistently by 10% yearly: 5000, 5500, 6050, 6655, and 7320.
The number of subscribers increased consistently by 10% yearly: 5000, 5500, 6050, 6655, and 7320....
A student scores 25% more marks in Science than in Math. If he scores 240 marks in Science, how many marks did he score in math?
A student scores 25% more marks in Science than in Math. If he scores 240...
In an election contested by two candidates,
In an election contested by two candidates, one candidate got 25% of the total votes...
A supply of juice lasts for 35 days. If its consumption increases by 40%, for how many days will the same quantity of juice last?
A supply of juice lasts for 35 days. If its consumption increases by 40%, for...