Question

Every year before the festive season, a shopkeeper increases the product by 35% and then introduce two successive discount of 10% and 15% respectively. what is percentage loss and percentage gain?

Answer 1

Answer

Let C.P = 100

35% increase in S.P = Rs 135

10% discount in Rs 135 =

100

135×10

=13.5

sp 1st S.P = 135-13.5 = 121.5

Again 15% discount in 1st S.P =

100

121.5×15

=18.225

2nd S.P = 121.5−18.225=103.275

So finally C.P = 100, S.P = 103.275

Gain by 103.275−100=3.20% = 3.275%

Answer 2

The percentage of profit is 3.275%.

Given: A shopkeeper increases the product by 35% and then introduce two successive discount of 10% and 15% respectively.

To find: We have to find the percentage of loss or gain.

Solution:

Let the price of the product be 100.

The shopkeeper increased the price of the product by 35%.

So, the new price of the product is 135.

Now he gives two successive discounts of 10% and 15% respectively.

Thus after discounting the price of the product is-

$135 \times \frac{90}{100} \times \frac{85}{100} = 103.275$

Thus the cost price of the product is 100 and the selling price is 103.275.

Percentage of profit will be-

$\frac{103.275 - 100}{100} \times 100 \\ \frac{3.275}{100} \times 100 \\ = 3.275\%$

The percentage of profit is 3.275%.