2. Cost of oil is increased by 6% everyday. What would be the cost after 3days, if today’s cost is Rs 90. About the author Amelia
Answer: Cost of oil after 3 days will be ₹ 107.19 Step-by-step explanation: Given that: Oil’s present price = ₹ 90 Cost of oil is increased by 6% everyday. To find: Cost of oil after 3 days. Formula Used: [tex]\sf{Amount=Principal\bigg(1+\dfrac{Rate}{100}\bigg)^{Time}}[/tex] Where, Principal = ₹ 90 Rate = 6% Time = 3 days Substituting the values, [tex]\sf{A=90\bigg(1+\dfrac{6}{100}\bigg)^3}[/tex] Adding 1 and 6/100, [tex]\longrightarrow\sf{90\bigg(\dfrac{100 + 6}{100}\bigg)^3}\\\\\longrightarrow\sf{90\bigg(\dfrac{106}{100}\bigg)^3}[/tex] Opening the bracket, [tex]\longrightarrow\sf{90\times\dfrac{106}{100}\times\dfrac{106}{100}\times\dfrac{106}{100}}[/tex] Cutting off the zeros, [tex]\longrightarrow\sf{9\!\!\!\not{0}\times\dfrac{106}{10\!\!\!\not{0}}\times\dfrac{106}{100}\times\dfrac{106}{100}}\\\\\longrightarrow\sf{9\times\dfrac{106}{10}\times\dfrac{106}{100}\times\dfrac{106}{100}}[/tex] Multiplying the numbers, [tex]\sf{\dfrac{1,07,19,144}{100000}}[/tex] Dividing the numbers, [tex]\sf{107.19}[/tex] Hence, cost of oil after 3 days will be ₹ 107.19 Reply
Answer:
Step-by-step explanation:
Given that:
To find:
Formula Used:
[tex]\sf{Amount=Principal\bigg(1+\dfrac{Rate}{100}\bigg)^{Time}}[/tex]
Where,
Substituting the values,
[tex]\sf{A=90\bigg(1+\dfrac{6}{100}\bigg)^3}[/tex]
Adding 1 and 6/100,
[tex]\longrightarrow\sf{90\bigg(\dfrac{100 + 6}{100}\bigg)^3}\\\\\longrightarrow\sf{90\bigg(\dfrac{106}{100}\bigg)^3}[/tex]
Opening the bracket,
[tex]\longrightarrow\sf{90\times\dfrac{106}{100}\times\dfrac{106}{100}\times\dfrac{106}{100}}[/tex]
Cutting off the zeros,
[tex]\longrightarrow\sf{9\!\!\!\not{0}\times\dfrac{106}{10\!\!\!\not{0}}\times\dfrac{106}{100}\times\dfrac{106}{100}}\\\\\longrightarrow\sf{9\times\dfrac{106}{10}\times\dfrac{106}{100}\times\dfrac{106}{100}}[/tex]
Multiplying the numbers,
[tex]\sf{\dfrac{1,07,19,144}{100000}}[/tex]
Dividing the numbers,
[tex]\sf{107.19}[/tex]
Hence, cost of oil after 3 days will be ₹ 107.19