A trader sells an item by giving two successive discounts of 5% and 20% on its marked price and still gains 33% By how much percentage above the cost price does he mark the item:(Nearest to an integer.)

Correct option is C

Given:

Two successive discounts: 5% and 20%

Overall gain = 33%

Formula Used:

SP = CP × $$\left(1 + \frac{gain\%}{100}\right)$$​​

SP = MP × $$\left(1 - \frac{d1}{100}\right) × \left(1 - \frac{d2}{100}\right)$$​​

Solution: 

Let the cost price (CP) = Rs. 100 

SP = 100 × 1.33 = Rs. 133

Successive discounts:

SP = MP × (1 - 0.05) × (1 - 0.20)

= MP × 0.95 × 0.80

= MP × 0.76

So,

133 = MP × 0.76

MP = $$\frac{133} { 0.76}$$​ = 175

Percentage above cost price = $$\frac{175 - 100}{100} \times 100 = 75\%$$​​