An increase of 10% in the price of banana enables Piyush to purchase 5 bananas less for ₹ 50. Find the price of 11 bananas before price increase.₹ 11₹ 15₹ 10₹ 20
Question
An increase of 10% in the price of banana enables Piyush to purchase 5 bananas less for ₹ 50. Find the price of 11 bananas before price increase.₹ 11₹ 15₹ 10₹ 20
Solution
Let's solve this step by step:
Step 1: Let's assume the original price of a banana is ₹x. So, Piyush could originally buy ₹50/x bananas with his ₹50.
Step 2: After a 10% increase in price, the new price of a banana becomes ₹1.1x. So, now Piyush can buy ₹50/1.1x bananas with his ₹50.
Step 3: According to the problem, the difference between the number of bananas Piyush could buy before and after the price increase is 5. So, we can set up the equation:
50/x - 50/1.1x = 5
Step 4: Solve the equation for x. After simplifying, you get x = ₹1.
Step 5: So, the price of 11 bananas before the price increase would be 11 * ₹1 = ₹11.
So, the correct answer is ₹11.
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