Question

Sudeep buys two cds for rs 380 and sells one at a loss of 22% and other at a gain of 12% if both the cds are sold at same price

Answer 1

Step-by-step explanation:

therefore ,total SP=2×265.2=534.4 rs

Answer 2

The cost price of two CDs are Rs. 156 and Rs. 224.

Given - Cost price, loss and profit percentage

Find - Cost price of each CD

Solution- Let the cost price of cd be x. So, cost price of other cd : (380 - x).

SP = (100+P%)/100*CP

SP = (100-L%)/100*CP

In first case -

SP = (100+12)*x/100

SP = 1.12x

In second case -

SP = (100-22)*(380-x)/100

SP = 78*(380-x)/100

SP = (29640 - 78x)/100

Now, the SP is same for both cd.

$\frac{29640 - 78x}{100} = 1.12x$

${29640 - 78x }= 112x$

${29640 }= 112x + 78x$

${29640 }= 190x$

$x = \frac{29640}{190}$

x = 156

Cost price of other cd = 380 - 156

Cost price of other cd = 224

Hence, the cost price of two CDs are Rs. 156 and Rs. 224.

#spj2.