Question : The marked price of an item is Rs. 900. On purchases of 2 items, the discount is 16% and on purchases of 5 items, the discount is 44%. Raksha buys 7 items, what is the effective discount?
Option 1: 10%
Option 2: 16%
Option 3: 36%
Option 4: 9.6%
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Correct Answer: 36%
Solution :
Marked price of an item = Rs. 900
⇒ Marked price of 2 items = 2 × Rs. 900 = Rs. 1,800
Amount saved on buying 2 items = 16% of Rs. 1,800 = Rs. 288
⇒ Marked price of 5 items = 5 × Rs. 900 = Rs. 4,500
Amount saved on buying 5 items = 44% of Rs. 4,500 = Rs. 1980
The total amount saved on buying 7 items = 288 + 1980 = Rs. 2,268
Total marked price of 7 items = 7 × Rs. 900 = Rs. 6,300
Effective discount = $\frac{2268}{6300}×100$ = 36%
Hence, the correct answer is 36%.
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