Sure, let's tackle this problem step-by-step.
1. Initial Prices of Fruits:
- The initial price of 1 kg of mango is Rs 150.
- The initial price of 1 kg of guava is Rs 33.
2. Price Hike:
- The prices are hiked by 10%.
3. Calculating New Prices:
- For the mango:
- A 10% hike on Rs 150 is [tex]\( 150 \times 0.10 = 15 \)[/tex] Rs.
- Therefore, the new price of 1 kg of mango is [tex]\( 150 + 15 = 165 \)[/tex] Rs.
- For the guava:
- A 10% hike on Rs 33 is [tex]\( 33 \times 0.10 = 3.3 \)[/tex] Rs.
- Therefore, the new price of 1 kg of guava is [tex]\( 33 + 3.3 = 36.3 \)[/tex] Rs.
4. Total Amount of Money Available:
- The total amount of money available is Rs 3113.
5. Calculate Cost of Buying One of Each (1 kg of mango and 1 kg of guava):
- The combined cost of 1 kg of mango and 1 kg of guava after the price hike is [tex]\( 165 + 36.3 = 201.3 \)[/tex] Rs.
6. Maximize Quantity:
- To determine the maximum equal quantity of mango and guava that can be purchased, we divide the total amount of money by the combined price for 1 kg each.
- The maximum quantity that can be bought is given by [tex]\( \frac{3113}{201.3} \approx 15.0 \)[/tex] kg.
So, the maximum equal quantity of mango and guava that can be bought with Rs 3113, after a 10% price hike on both, is 15 kg each. The new prices after the hike are Rs 165 for mango and Rs 36.3 for guava.
