Posted by Anonymous on Sunday, February 24, 2013 at 2:12pm.
There are 3 things we must figure out in the this question.
1) What is the full price of this item + tax
2) What is the full price of this item
3) What is the price of this item with the 15% discount
4) Shopkeeper profit
For this whole problem let us assume that 'x' is equal to the full ticket price of the item:
1) rs. 630 (this is given to us in the question)
2) rs. 630 = 1.05(x)
rs. 630/1.05 = x
600 = x
Therefore the full ticket price of this item (with no tax) is rs. 600
3) price w/ 15% discount = 0.85(x)
- I got the 0.85 from 1.00-0.15 (if we're getting 15% off we are paying for 85% of the full price)
price w/ 15% discount = 0.85(600)
price w/ 15% discount = rs. 510
Therefore, the shopkeeper bought this item for rs. 510
4) Profit = Selling price - purchase price
Profit = 630-510
Profit = rs. 120
Therefore the shopkeeper made a rs. 120 profit.
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