## Quantitative Aptitude for IBPS PO & Clerk

## Concepts:

**Cost Price:**Price at which the article is purchased**Selling Price:**The price at which the article is sold

## Formulas:

### 1. PROFIT P

- = Selling Price(SP) - Cost Price (CP)

**P = SP - CP**

###
**2. LOSS L**

**=**Cost price - Selling price

**L = CP - SP**

###
**3. PROFIT PERCENTAGE P%**

**= (**Profit / CP) × 100

**P% = [(SP ÷ CP) - 1] × 100**- we get this by substituting P = SP - CP

### 4. LOSS PERCENTAGE L%

- = ( Loss / CP ) × 100

**L% =****[1 -****( SP ÷ CP )] × 100**

- We get this by substituting L = CP - SP

### 5. Finding SP when CP and P% or L% is given

- If Profit % is given, then

**SP = [( 100 + P% ) × CP] ÷ 100**

- This can also be written as

**SP = CP****× [( P%****÷ 100 ) + 1 ]**

- which is again written as

**SP = CP****× [( P% +****100 )****÷**100 ]

- When Loss % is given

**SP = [( 100 - L% ) × CP] ÷ 100**

- This can also be written as

**SP = CP****× [( L%****÷ 100 ) - 1 ]**

- which is again written as

**SP = CP****× [( L% -****100 )****÷**100 ]

###
**6. Finding CP when SP and P% or L% is given**

- When Profit percentage is given

**CP = ( 100****× SP ) ÷ ( 100 + P% )**

- This can also be written as

**CP = [****100****÷**( 100 + P% )**]****× SP**

- When Loss % is given

**CP =****( 100****× SP ) ÷ ( 100 - L% )**

- This can also be written as

**CP = [****100****÷**( 100 - L%)**]****× SP**

### 7. When Marked price is MP, Discount % = d%, then

**SP = [ MP****×**( 100 - d% )**÷**100]

**MP = [ 100**SP ]**×**[ 100 - d% ]**÷**

###
**8. We have**

**CP + Profit = SP; SP - Discount = MP**

###
**9. When 2 articles are sold, each at ₹ x**

- of which one article got P% profit
- other got P% loss
- Then there will be

**an overall loss**

- therefore,
**L% = P² / 100 %**

- Loss in rupees =
**2P² X / ( 100² - P² )**

###
**10. When 2 articles has the same cost prics, ₹ x**

- of which one article got P% profit
- other got P% loss
- Then there will be

**No loss No Profit**

###
**11. Finding Single Discount Rate SDR, when two successive discounts are given on an article**

- let the successive discounts be
**d₁% and d₂%** - then

**SDR = 100 -****d₁% ×****d₂%****× 100**

**Treat DISCOUNT as LOSS always**

- so we have

**SDR = 100 - [( 100 -****d₁ ) / 100]****×****[( 100 -****d₂**) / 100]**× 100**

### 12. What should be the Marked Price MP on an article with discount y%, to get a profit of x%?

**we have****discount = y% ⇒ loss %;****and profit % = x%****to get the Marked price**

**MP = ( P% / L% )****× 100**

**= [(100 + P) / 100 ] / [( 100 - L) / 100 ]****×**100

**MP =****(100 + P) / ( 100 - L)****×**100

**⇒****(100 + x ) / ( 100 - y )****×**100

###
**13. If the cost Price of 'A' articles is equal to the Selling price of 'B' articles, if A > B, then there will be profit**

**P% = ( A - B ) / B****×**100

**A = CP of A articles****B = SP of B articles**

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