A store dealer sells an article, whose marked price is ₹7,200. The cost price of the article is 70% below the marked price. Two successive equal discounts of 25% and 25% are offered to a customer. The customer gets a further 18% discount on his net payment, if the customer redeems a coupon issued by the store previously to celebrate the store’s 5th Anniversary. What is the profit percentage (to the nearest integer) earned by the dealer in this transaction?

Correct option is C

Given:

Marked price of article = ₹7,200

Cost price is 70% below the marked price.

Two successive discounts = 25% and 25%

Additional discount if customer redeems a coupon = 18%

Formula Used:

​$$Successive \ Discount = D_{1}+D_{2} - \frac{D_{1}D_{2}}{100}$$​​

​$$SP = MP \times \frac{(100-D)}{100}$$​​

​$$Profit = SP-CP$$​​

​$$Profit \ Percentage = \frac{Profit}{Cost\ Price} \times 100$$​​

Solution:

​$$Successive \ Discount = 25+25 - \frac{(25)(25)}{100}$$​​

​$$= 50 -6.25 =43.75\%$$​​

​$$SP = 7200 \times \frac{(100-43.75)}{100}$$​​

​$$= ₹4050$$​​

If customer redeems a coupon then additional 18% is applied:

​$$Net \ Price = 4050 \times \frac{(100-18)}{100}$$​​

​$$= ₹3321$$ 

Now, cost price is 70% below.

​$$CP = 7200 \times \frac{(100-70)}{100}$$​​

​$$= ₹2160$$​​

​$$Profit = ₹3321 - ₹2160 = ₹1161$$​​

​$$Profit \ Percentage = \frac{1161}{2160} \times 100 = \bf 53.75 \%$$ 

Thus, option(C) 54%(As it is nearest to 53. 75%) is correct.