The marked price of an article is 26% more than its cost price. If a discount of 32% is given, what will be the loss percentage?

Question

Accepted Answer

Let the cost price (CP) of the article be Rs. 100.

Marked Price (MP) = CP + 26% of CP = 100 + 26 = Rs. 126

Discount given = 32%

So, Selling Price (SP) = MP - 32% of MP = 126 - (32% of 126)
= 126 - (0.32 × 126)
= 126 - 40.32
= Rs. 85.68

Loss = CP - SP = 100 - 85.68 = Rs. 14.32

Loss percentage = (Loss / CP) × 100
= (14.32 / 100) × 100
= 14.32%

However, this matches option 4, but let's double-check:

Wait, the calculation above gives 14.32%, but let's check the options and calculation again. The options suggest a possible calculation error. Let's recalculate:

Step 1: CP = 100
Step 2: MP = 100 + 26 = 126
Step 3: Discount = 32% of 126 = 0.32 × 126 = 40.32
Step 4: SP = 126 - 40.32 = 85.68
Step 5: Loss = 100 - 85.68 = 14.32
Step 6: Loss% = (14.32 / 100) × 100 = 14.32%

So, the correct answer is 14.32%, which matches option 4.

Alternatively, let's try with variables:
Let CP = x
MP = x + 0.26x = 1.26x
SP = MP - 32% of MP = 1.26x - 0.32 × 1.26x = 1.26x × (1 - 0.32) = 1.26x × 0.68 = 0.8568x
Loss = x - 0.8568x = 0.1432x
Loss% = (0.1432x / x) × 100 = 14.32%

So, the correct answer is 14.32% (option 4).

Therefore, the correct option is 4.

Answer

Answer

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