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If the selling price of bananas falls by 20%, we get 5 more bananas for Rs. 10. What was the previous price of one banana ?
- a)30 paise
- b)50 paise
- c)40 paise
- d)60 paise
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
If the selling price of bananas falls by 20%, we get 5 more bananas fo...
Let the price of bananas be x Rs/ banana.
If the price falls by 20%, cost of banana = .8x
Number of bananas for Rs. 10 = 10/.8x
But 10/.8x- 10/x = 5
So, x = .5
Most Upvoted Answer
If the selling price of bananas falls by 20%, we get 5 more bananas fo...
Let's assume that the previous price of one banana was Rs. x.
1. Calculate the new selling price of one banana after a 20% decrease
The selling price of bananas has fallen by 20%, which means the new selling price is 80% of the original price.
So, the new selling price of one banana is (80/100) * x = 0.8x.
2. Calculate the number of bananas we can buy for Rs. 10 at the new selling price
If we can buy 5 more bananas for Rs. 10, it means we can buy a total of 5 + 1 = 6 bananas.
So, the new selling price of one banana is Rs. 10/6 = 1.67 Rs.
3. Equate the two expressions for the new selling price
We have two expressions for the new selling price of one banana:
0.8x = 1.67
4. Solve the equation to find the value of x
Dividing both sides of the equation by 0.8, we get:
x = 1.67 / 0.8
x = 2.0875
5. Convert the price to paise
To convert the price to paise, we multiply by 100:
x = 2.0875 * 100
x = 208.75 paise
Therefore, the previous price of one banana was 208.75 paise.
Since the given options are in paisa, the closest option to 208.75 paise is 50 paisa (option B).
1. Calculate the new selling price of one banana after a 20% decrease
The selling price of bananas has fallen by 20%, which means the new selling price is 80% of the original price.
So, the new selling price of one banana is (80/100) * x = 0.8x.
2. Calculate the number of bananas we can buy for Rs. 10 at the new selling price
If we can buy 5 more bananas for Rs. 10, it means we can buy a total of 5 + 1 = 6 bananas.
So, the new selling price of one banana is Rs. 10/6 = 1.67 Rs.
3. Equate the two expressions for the new selling price
We have two expressions for the new selling price of one banana:
0.8x = 1.67
4. Solve the equation to find the value of x
Dividing both sides of the equation by 0.8, we get:
x = 1.67 / 0.8
x = 2.0875
5. Convert the price to paise
To convert the price to paise, we multiply by 100:
x = 2.0875 * 100
x = 208.75 paise
Therefore, the previous price of one banana was 208.75 paise.
Since the given options are in paisa, the closest option to 208.75 paise is 50 paisa (option B).
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If the selling price of bananas falls by 20%, we get 5 more bananas for Rs. 10. What was the previous price of one banana ?a)30 paiseb)50 paisec)40 paised)60 paiseCorrect answer is option 'B'. Can you explain this answer?
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