The marked price of a calculator is Rs 1,800. The shopkeeper allows 10% discount and still makes 8% profit. At what price did the shopkeeper purchase the calculator?
solution;
Given,
Marked price of a calculator (MP) = Rs 1,800
Discount percentage allowed (d) = 10%
Profit percentage (P) = 8%
To find: CP = ?
We know,
Selling Price (SP) = MP – d/100×MP
= 1800 – 10/100×1809
= 1800 – 180
= Rs 1620
And,
Cost Price (CP) = (100×SP)/(100+P%)
= (100×1620)/(100+8)
= 162000/108
= Rs 1500
Therefore, the required cost price of the calculator is Rs 1500.