A retailer marks up his goods by 130% and offers 25% discount. What will be the selling price (in ₹) if the cost price is ₹ 1600?

Correct option is A

Given:

The cost price (C.P.) of the goods is ₹1600.

The retailer marks up his goods by 130%.

The retailer offers a discount of 25%.

We need to calculate the selling price (S.P.).

Formula Used:

Marked Price (M.P.):

M.P. = $$C.P. \times \left( 1 + \frac{\text{Markup Percentage}}{100} \right)$$​

Selling Price (S.P.):

S.P. = $$M.P. \times \left( 1 - \frac{\text{Discount Percentage}}{100} \right)$$​

Solution:

The retailer marks up the goods by 130%, so:

M.P. = $$1600 \times \left( 1 + \frac{130}{100} \right) = 1600 \times (1 + 1.3) = 1600 \times 2.3 = 3680$$​

So, the marked price is ₹3680.

The retailer offers a 25% discount, so:

S.P. = $$3680 \times \left( 1 - \frac{25}{100} \right) = 3680 \times (1 - 0.25) = 3680 \times 0.75 = 2760$$​

Thus, the selling price of the goods is ₹2760.

Alternate Method:

a + b +$$\frac{ab}{100}$$ 

130 - 25 - $$\frac {130 \times 25}{100}$$ 

= 105 - 32.5

= 72.5 %

Now,

1600 $$\times$$ $$\frac {72.5}{100}$$ = 1160

Selling Price = 1600 + 1160 = 2760