# Discount: True and Banker's

Pratice Discount: True and Banker's Questions and answers.

Rule Description
1

If Marked Price = (MP)

Selling Price = (SP)

Then,

• Discount = MP – SP
• Discount % = $\frac{Discount}{MP} \times 100$
• Discount % = $\frac{MP-SP}{MP} \times 100$

Note: Any kind of Discount is calculated only on Marked Price (MP) and not on Selling Price (SP) or Cost Price (CP).

2

If article is sold on D% discount, then

• $SP=\frac{MP(100-D)}{100}$
• $MP=\frac{SP \times 100}{100-D}$
3

When successive Discounts $D_1, D_2, D_3,$ so on, are given then

$SP=MP\left(\frac{100-D_1}{100}\right)\left(\frac{100-D_2}{100}\right)\left(\frac{100-D_3}{100}\right)$

4

If $D_1, D_2, D_3,$ are successive discounts, then equivalent discount/overall discount is (in percentage)

$100-\left[\left(\frac{100-D_1}{100}\right)\left(\frac{100-D_2}{100}\right)\left(\frac{100-D_3}{100}\right)\times100\right]$

5

When two successive disounts $(D_1, D_2)$ are given, then overall discount =

$\left(D_1+D_2-\frac{D_1D_2}{100}\right)\%$

6

If r% of profit or loss occur after giving D% discount on Marked Price (MP), then

$\frac{MP}{CP}=\frac{100\pm r}{100-D}$

(positive sign (+) for profit and negative (-) for loss)

7

y’ articles (quantity/number) are given free on purchasing ‘x’ articles. Then,

Discount % = $\frac{y\times100}{x+y}$

8

A tradesman marks his goods r% above his cost price. If he allows his customers a discount of r1% on the marked price. Then his profit or loss per cent is

$\frac{r\times\left(100-r_1\right)}{100}-r_1$

(positive sign (+) for profit and negative (-) for loss)

9

$\left(\frac{r+R}{100-r}\times100\right)\%$

more than its cost price.

The Marked Price (MP) of an article is fixed in such a way that after allowing a discount of r% a profit of R% is obtained. Then the marked price of the article is

$\left(\frac{r+R}{100-r}\times100\right)\%$ more than its cost price.