The catalogue price of a V.C.P. is Rs. 7200. If it is sold at a discount of 20% of the catalogue price gain of 25% is made. Find the gain or loss percent, if the V.C. P. is sold for Rs. 1900.80 below the catalogue price.

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answer is A.

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Detailed Solution

Detailed solution can be understood by knowing the formulae of profit/loss, percentage. Formula concept and detailed solution is given below.
Concept- The profit or loss can be calculated by using the value of the selling price and the cost price.
Profit/loss percentage =

\frac{Selling Price - Cost Price}{Cost Price}

\times

100
Profit/Loss = selling price - cost price
Given
M.R.P = Rs. 7200
Discount percentage = 20% discount of marked price,
⇒ Discount =

(\frac{20}{100})

\times

7200 = 0.2 x 7200 =Rs 1440
Therefore S.P. = MRP - discount = 7200 - 1440 = Rs 5760
Profit percentage = 25%
Here, to calculate the C.P. we can use the formula as mentioned:-
Profit/Loss Percentage =

\frac{Selling Price - Cost Price}{Cost Price}

\times

100
∴

\frac{5760 - CP}{CP}

\times

100 = 25%
⇒

\frac{5760}{CP}

- 1 = 0.2 ⇒

\frac{5760}{1.25}

= CP = 4608 Hence, the C.P = Rs. 4608
Now the main question comes: what if the product sold at Rs. 1900.8, as V.C.P. is sold for Rs. 1900.8 then S.P. is 5299.20.
To check whether it is a profit or a loss:
As calculated, the Selling Price is more than the Cost Price.
Hence, calculating the profit: