A shopkeeper sold sarees at ₹529 each after giving an 8% discount on their marked price. Had he not given the discount, he would have earned a profit of 15% on their cost. What was the cost price (in ₹) of each saree?

Given:
Selling Price (SP) = ₹529
Discount = 8%

Let the Marked Price be MP.

SP=MP×(1−
100
8
​
)=MP×
100
92
​

529=MP×
100
92
​

MP=
92
529×100
​
=
4×23
23×23×100
​
=23×25=575
If no discount is given, then the Selling Price equals the Marked Price (SP=MP=575).
In this case, the profit is 15%. Let the Cost Price be CP.

CP×(1+
100
15
​
)=575
CP×
100
115
​
=575
CP=
115
575×100
​

Since 115×5=575:

CP=5×100=500
The cost price of each saree was ₹500.