After giving two successive discounts, a shirt with a marked price of ₹ 200 is available at ₹ 100. If the second discount is 20%, then the first disco

To find `S = .^(100)C_(0).^(100)C_(2)+.^(100)C_(2).^(100)C_(4)+.^(100)C_(4).^(100)C_(6)+"....."+.^(100)C_(98).^(100)C_(100)` Consider, `.^(100)C_(0).^(100)C_(2)+.^(100)C_(1).^(100)C_(3) + .^(100)C_(2).^(100)C_(4)+.^(100)C_(3)+.^(100)C_(5)+"...." + .^(100)C_(98).^(100)C_(100)` `= .^(100)C_(0).^(100)C_(98)+.^(100)C_(1).^(100)C_(97) + .^(100)C_(2).^(100)C_(96)+.^(100)C_(3).^(100)C_(95) + "....."+^(100)C_(98) .^(100)C_(0)` = Coefficients of `x^(98)` in `(1+x)^(100) (1+x)^(100)` `= .^(200)C_(98) " "(1)` Also,...

`E_(s)=(P)/(Q_(s))xx(DeltaQ_(s))/(DeltaP)` `1.5=(8)/(200)xx(DeltaQ_(s))/(2)` `8DeltaQ_(s)=600` `DeltaQ_(s)=75` New `Q=Q_(s)+DeltaQ_(s)=200+75=275` units

Correct Answer - A `(a)` Writing `((200),(r ))=((200),(200-r))`, we have `((100),(0))((200),(50))+((100),(1))((200),(49))+((100),(2))((200),(48))+......+((100),(50))((200),(0))` `=` Coefficient of `x^(50)` in the expansion of `(1+x)^(100)(x+1)^(200)` `=` Coefficient of `x^(50)` in the binomial expansion of `(1+x)^(300)` `=((300),(50))`

Trade discount is calculated before cash discount while calculating discount on purchase or sales.

Correct Answer - `192`

Correct Answer - `980`

Correct Answer - `23(1)/(3)%`

Correct Answer - ₹ 1152

Correct Answer - `23(1)/(2)%`

Correct Answer - Percentage of loss = `6.58%`