due to 10% decrease in coffee price,was able to buy an additional 1 kg of coffee with the same rupees 900 that he spent each month on buying coffee . what was the reduced price of coffee per kg? what is the original price of coffee per kg?
Answers
Answer:
original price = 100₹
Step-by-step explanation:
At a discount of 10% the person bought additional 1kg coffee i.e 10% = 1kg
So total purchase i.e 100% = 10kgs
10kgs she bought for 900₹
So reduced price is 900/10 = 90₹
Original price before 10% discount will be 90+10 = 100₹
Due to 10% decrease in coffee price,was able to buy an additional 1 kg of coffee with the same rupees 900 that he spent each month on buying coffee . what was the reduced price of coffee per kg? what is the original price of coffee per kg?
solution
Let the original price of coffee y per kg
Amount paid for coffee = rs 900
Redution in coffee price = \frac{10}{100}y = 0.1y
New coffee price = y - 0.1y
= 0.9 per kg
Before price redution
900 = y × Original quantity
⇒ Original quantity = 900/y
After price reduction
900 = 0.9y × new quantity
= new quantity = 900/0.9y
new quantity = Original quantity + 1
⇒ 900/0.9y = 900/y + y
⇒ 900/0.9y = 900+y/y = 900/0.9 = 900+y/1
⇒ 900 × 1 = 0.9 × (900 + y)
= 90 = 0.9y
= y = 90/0.9
⇒ y = 100
Hence The original price of coffee was = 100 per kg
The reduced price of coffee i.e
new coffee price (reduced price)
The reduced price of coffee i.e
New coffee price (reduced price)
= y - 0.1y
= 0.9 per kg
= 0.9 × 100
= Rs 90 per kg
The reduced price of coffee was Rs 90 per kg.