Abha bought 2 calculators at Rs 900. She sold one at profit of 20% and other at a loss of 20%. If the SP of both calculator was same, then find the CP of each calculator.
Answers
Given:
CP OF 2 Calculators=Rs.900
SP of one calculator=20% profit on CP
SP of other calculator=20% loss on CP
To find:
CP of both Calculators
Solution:
Cost Price is the amount in which a person buys the item.
Selling Price is the amount in which a person sells the item.
let the cost price of one calculator be x
let the cost price of other calculator be 900-x
x+(900-x)=900
SP=CP+Profit
SP=CP-Loss
Then the Selling price of costly calculator will be: x\times\frac{80}{100}x×
100
80
{∵ It is selling at loss of 20%)
and the Selling price of another calculator will be: (900 - x)\times\frac{120}{100}(900−x)×
100
120
{∵ It is selling at profit of 20%)
Also it is given that selling price of both calculator is same. So we can write it as:
x\times\frac{80}{100} = (900 - x)\times\frac{120}{100}x×
100
80
=(900−x)×
100
120
2x = 3(900 - x)
2x = 2700 - 3x
x = 540
Then price of other calculator is 900 - 540 = 360.
Hence, the price of one calculators is Rs. 540
the price of other calculator is Rs.360
Ans. is given in attached pic...
