Discount: True and Banker's

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

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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.