A trader marks his goods 40% above cost price and allows a discount of 25%, what gain per cent does he make?
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16
Given
- MP % = 40 %
- Discount % = 25 %
To find
- Gain %
Solution
- Let the cost price of his good be ₹100
- Then, it's marked price = ₹140 (40 % above CP)
- Discount = 25% of MP = ²⁵⁄₁₀₀ × 140 = ₹35
∴ Selling Price = MP - Discount = ₹140 - ₹35 = ₹105
∴ Gain = Selling price - Cost price = ₹105 - ₹100 = ₹5
∴ On a cost price of ₹100, trader gets a gain of ₹5
- Gain % = 5 %
→ Hence, the trader gains a 5% gain
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2
Let the cost price of his good be ₹100
Then, it's marked price = ₹140 (40 % above CP)
Discount = 25% of MP = ²⁵⁄₁₀₀ × 140 = ₹35
∴ Selling Price = MP - Discount = ₹140 - ₹35 = ₹105
∴ Gain = Selling price - Cost price = ₹105 - ₹100 = ₹5
∴ On a cost price of ₹100, trader gets a gain of ₹5
Gain % = 5 %
→ Hence, the trader gains a 5% gain
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