Question : If the price item is increased by 70% then allow discounts of 5% and 20% on this marked price. If the price is paid in cash and an additional discount of 20% is allowed then what is his gain percentage?
Option 1: 2.25%
Option 2: 4.36%
Option 3: 3.25%
Option 4: 3.36%
Correct Answer: 3.36%
Solution :
Let the initial price be 100.
Initial price increase by 70%
⇒ New price = 100 + (70% of 100) = 170
Discounts of 5% and 20%
⇒ Discounted Price = 170 – (5% of 170) - 20% of [170 – (5% of 170)]
= 161.50 – (20% of 161.50)
= 129.20
Additional discount of 20%
⇒ Final Price = 129.20 – (20% of 129.20) = 103.36
Now,
Gain percentage = $\frac{\text{Final price - Initial price}}{\text{Initial price}}$ × 100 = $\frac{103.36 - 100}{100}$ × 100 = 3.36%
Hence, the correct answer is 3.36%.
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