Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Find reliable answers to your questions from a wide community of knowledgeable experts on our user-friendly Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.
Sagot :
Alright, let's work through these two problems step-by-step.
### Problem 17:
Question: On increasing the price of an article by 16%, it becomes ₹1479. What was its original price?
Solution:
1. Let the original price of the article be \( x \).
2. Since the price increased by 16%, the new price is \( x + 0.16x = 1.16x \).
3. We are given that after the increase, the price becomes ₹1479.
Thus, we have the equation:
[tex]\[ 1.16x = 1479 \][/tex]
4. To find the original price \( x \), we need to solve for \( x \):
[tex]\[ x = \frac{1479}{1.16} \][/tex]
5. Performing the division, we get:
[tex]\[ x = 1275.0 \][/tex]
So, the original price of the article was ₹1275.
### Problem 18:
Question: Pratibha reduced her weight by 15%. If now she weighs 59.5 kg, what was her earlier weight?
Solution:
1. Let Pratibha's original weight be \( y \).
2. She reduced her weight by 15%, which means she now weighs 85% of her original weight.
This can be written as:
[tex]\[ 0.85y = 59.5 \][/tex]
3. To find the original weight \( y \), we solve for \( y \):
[tex]\[ y = \frac{59.5}{0.85} \][/tex]
4. Performing the division, we get:
[tex]\[ y = 70.0 \][/tex]
So, Pratibha's original weight was 70.0 kg.
In summary:
- The original price of the article was ₹1275.
- Pratibha's original weight was 70.0 kg.
### Problem 17:
Question: On increasing the price of an article by 16%, it becomes ₹1479. What was its original price?
Solution:
1. Let the original price of the article be \( x \).
2. Since the price increased by 16%, the new price is \( x + 0.16x = 1.16x \).
3. We are given that after the increase, the price becomes ₹1479.
Thus, we have the equation:
[tex]\[ 1.16x = 1479 \][/tex]
4. To find the original price \( x \), we need to solve for \( x \):
[tex]\[ x = \frac{1479}{1.16} \][/tex]
5. Performing the division, we get:
[tex]\[ x = 1275.0 \][/tex]
So, the original price of the article was ₹1275.
### Problem 18:
Question: Pratibha reduced her weight by 15%. If now she weighs 59.5 kg, what was her earlier weight?
Solution:
1. Let Pratibha's original weight be \( y \).
2. She reduced her weight by 15%, which means she now weighs 85% of her original weight.
This can be written as:
[tex]\[ 0.85y = 59.5 \][/tex]
3. To find the original weight \( y \), we solve for \( y \):
[tex]\[ y = \frac{59.5}{0.85} \][/tex]
4. Performing the division, we get:
[tex]\[ y = 70.0 \][/tex]
So, Pratibha's original weight was 70.0 kg.
In summary:
- The original price of the article was ₹1275.
- Pratibha's original weight was 70.0 kg.
Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.