A shopkeeper marks his goods in such a way that after allowing a discount of 22% he gains 20%. If the cost price of the article is ₹650, then its marked price is:

Discount = 22%

Gain = 20%

Cost price (CP) = ₹650

Selling Price with Profit:

​$$SP = CP \times \left( 1 + \frac{\text{Gain \%}}{100} \right)$$​​

Relationship between SP and MP with Discount:

​$$SP = MP \times \left( 1 - \frac{\text{Discount \%}}{100} \right)$$​​

Using the formula for selling price with gain:

​$$SP = 650 \times \left( 1 + \frac{20}{100} \right) = 650 \times 1.20 = ₹780$$​​

Now,

​$$SP = MP \times \left( 1 - \frac{22}{100} \right) \\780 = MP \times (1 - 0.22)\\780 = MP \times 0.78\\MP = \frac{780}{0.78} = ₹1000$$​​

​$$\therefore$$The marked price of the article is ₹1000

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