A shop keeper allows a discount of 10% on the marked price of an item but charges a sales tax of 8% on the discounted price. If the customer pays Rs. 3,402 as the price including the sales tax, then the marked price. every one like my art answer.
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Explanation:
Let Mark price was 100.
After 10% discount it becomes,
100 - 10% of 100 = 90.
Now,
SP = 90 + 8% of 90 = 97.2.
SP is given as 3402.
So,
97.2 = 3402
1 = 3402/97.2
100 = (3402 *100)/97.2 = 3500.
So, Marked Price was Rs. 3500.
Alternatively, (go through option)
3500 ===10% discount ==> 3150 === 8% sale tax ===> 3402.
Note: You can take marked price as X instead of 100 in first method.
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