Question:
How much Mr. Gates had to pay to purchase his motorbike? If he gets a profit of 70% after selling it for $2227.
Correct Answer
1310
Solution And Explanation
Solution
Finding the cost price if the sale price and profit percent are known
The cost price (CP) can be found using the formula, algebraic method, using shortcut method, and taking the cost price as 100, 200, 300, 400, 500, or whatever you want.
Finding the cost price using the formula when the sale price and profit percent are known
Given, the sale price (SP) = $2227
And, the profit = 70%
Then, the Cost Price (CP) = ?
Formula to find the cost price when the sale price and profit percent are known
Cost Price (CP) = 100/100 + gain% × SP
Thus, the Cost Price (CP)
= 100/100 + 70 × 2227
= 100 × 2227/170
= 222700/170 = 1310
Thus, the Cost Price (CP) = $1310 Answer
Finding the cost price (CP) using the Algebraic Method when the Sale Pric (SP) and the profit percent are given
Let the Cost Price (CP) = m
Here given profit = 70%
Calculation of Profit
Profit is calculated on cost price (CP)
Formula to find the Profit = Profit% of CP
Thus, profit on the cost price of m
= 70% of m
= 70% × m
= 70/100 × m
⇒ Profit = 70 m/100
Calculation of Cost Price (CP)
The Sale Price (SP) = Cost Price (CP) + Profit
⇒ 2227 = m + 70 m/100
⇒ 2227 = 100 m + 70 m/100
⇒ 2227 = 170 m/100
After cross multiplication, we get
2227 × 100 = 170 m
⇒ 170 m = 2227 × 100
⇒ m = 2227 × 100/170
⇒ m = 222700/170 = 1310
⇒ m = 1310
Thus, the Cost Price (CP) = $1310 Answer
Finding the cost price (CP) using Unitary Method by taking the cost price (CP) is equal to 100 when the SP and the profit percent are given
Given, the sale price (SP) = $2227
And, the profit = 70%
Then, the Cost Price (CP) = ?
Let Cost Price (CP) = 100
Thus profit = 70% of 100 = 70
Thus, Sale Price (SP) = Cost Price (CP) + Profit
⇒ Sale Price (SP) = 100 + 70
⇒ Sale Price (SP) = 170
∵ If the Sale Price (SP) is 170, then the Cost Price (CP) = 100
∴ If the Sale Price (SP) is 1, then the Cost Price (CP)
= 100/170
∴ If the Sale Price (SP) is 2227, then the Cost Price (CP)
= 100/170 × 2227
= 100 × 2227/170
= 222700/170 = 1310
Thus, the Cost Price (CP) = $1310 Answer
Shortcut Method to find Cost Price (CP) when SP and profit percent are known
Given, the sale price (SP) = $2227
And, the profit = 70%
Then, the Cost Price (CP) = ?
SP = 170% of CP
⇒ SP = 170/100 × CP
⇒ 2227 = 170 CP/100
After cross multiplication
⇒ 2227 × 100 = 170 CP
⇒ 170 CP = 2227 × 100
⇒ CP = 2227 × 100/170
⇒ CP = 222700/170 = 1310
⇒ CP = $1310 Answer
Similar Questions
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(2) Mr. Joseph loses 5% by selling an article for $104.50. For how much should he sell it to get a profit of 4%?
(3) A hawker buys 10 articles for $1 and sells 9 articles for $1 then, find the profit percent.
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(6) What will be profit percent if John buys 6 articles for $1 and sells 5 articles for $1?
(7) How much percent will Peter earn if he buys 37 articles for $1 and sells 36 articles for $1?
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(9) John loses 62% by selling an article for $1124.80. For how much should he sell it to get a profit of 61%?
(10) Find the cost price, if a trader earns a profit of 5% by selling an article for $10.5