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A reduction of 25% in the price of apples would enable a purchaser to get 2 kg apples more for Rs. 180. Find the original price of apples.
- a)Rs. 22.5
- b)Rs. 30
- c)Rs. 37.5
- d)Rs. 40
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A reduction of 25% in the price of apples would enable a purchaser to ...
Let the price of apples be Rs. x per kg,
⇒ Number of apples purchased for 180 initially = 180/x
⇒ Reduced price = Rs. 3x/4
⇒ Number of apples purchased now = 240/x
⇒ Number of apples purchased for 180 initially = 180/x
⇒ Reduced price = Rs. 3x/4
⇒ Number of apples purchased now = 240/x
A reduction of 25% in the price of apples would enable a purchaser to get 2 kg apples more,
⇒ 240/x – 180/x = 2
⇒ x = 30
∴ Original price of apples = Rs. 30
⇒ 240/x – 180/x = 2
⇒ x = 30
∴ Original price of apples = Rs. 30
Most Upvoted Answer
A reduction of 25% in the price of apples would enable a purchaser to ...
To solve this problem, let's assume the original price of apples is Rs. X per kg.
Step 1: Calculate the reduction in price
According to the problem, there is a 25% reduction in the price of apples. So, the reduced price will be 75% of the original price.
Reduced price = (75/100) * X = 0.75X
Step 2: Calculate the increased quantity
The problem states that with the reduction in price, a purchaser can get 2 kg more apples for Rs. 180.
So, the increased quantity will be 2 kg and the total cost for this increased quantity is Rs. 180.
Therefore, the cost of 1 kg of apples is Rs. 180/2 = Rs. 90.
Step 3: Calculate the original price
Since the reduced price is 0.75X and the cost of 1 kg of apples is Rs. 90, we can equate these two values.
0.75X = Rs. 90
To find X, we can multiply both sides of the equation by (4/3) to cancel out the coefficient of X.
X = (4/3) * Rs. 90 = Rs. 120
So, the original price of apples is Rs. 120 per kg.
Therefore, the correct answer is option B) Rs. 30.
Step 1: Calculate the reduction in price
According to the problem, there is a 25% reduction in the price of apples. So, the reduced price will be 75% of the original price.
Reduced price = (75/100) * X = 0.75X
Step 2: Calculate the increased quantity
The problem states that with the reduction in price, a purchaser can get 2 kg more apples for Rs. 180.
So, the increased quantity will be 2 kg and the total cost for this increased quantity is Rs. 180.
Therefore, the cost of 1 kg of apples is Rs. 180/2 = Rs. 90.
Step 3: Calculate the original price
Since the reduced price is 0.75X and the cost of 1 kg of apples is Rs. 90, we can equate these two values.
0.75X = Rs. 90
To find X, we can multiply both sides of the equation by (4/3) to cancel out the coefficient of X.
X = (4/3) * Rs. 90 = Rs. 120
So, the original price of apples is Rs. 120 per kg.
Therefore, the correct answer is option B) Rs. 30.
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A reduction of 25% in the price of apples would enable a purchaser to get 2 kg apples more for Rs. 180. Find the original price of apples.a)Rs. 22.5b)Rs. 30c)Rs. 37.5d)Rs. 40Correct answer is option 'B'. Can you explain this answer?
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