Samir bought the following articles from a departmental store: Item, Quantity, Rate per item (Rs), Rate of VAT Shirt Pair of Shoes Television Tea-set, 4 2 1 1, 200.00 350.00 10900.00 750.00, 8% 10% 10% 8% Calculate the total bill paid, including VAT, by Samir to the departmental store.

Rajat goes to a departmental store and buys the following articles: Items, Price per item, Rate of VAT 2 Paris of shoes 1 Sewing machine 2 Tea-sets, Rs.800 Rs.1500 Rs.650, 5% 6% 4% Calculate the total amount he has to pay to the store.

Rakesh goes to a departmental store and purchases the following articles: biscuits and bakery products costing Rs 50, VAT @ 5%, medicines costing Rs 90, VAT @ 10%, clothes costing Rs 400. VAT @ 1% , and cosmetics costing Rs 150, VAT @ 10%. Calculate the total amount paid by Rakesh to the store.

Hamida visits a departmental store and purchases the following articles: one rain coat for Rs 300, VAT @ 10%, one pair of shoes for Rs 460 and VAT @ 9%, food articles for Rs 450, VAT @ 5%, clothes for Rs 800, Vat @ 1% . Calculate the total amount of the bill .

A shopkeeper bought a washing machine at a discount of 20% from a wholesaler, the printed price of the washing machine being Rs 18,000. The shopkeeper sells it to a consumer at a discount of 10% on the printed price. If the rate of sales tax is 8%, find : (i) the VAT paid by the shopkeeper, (ii) the total amount that the consumer pays for the washing machine.

A dealer buys an article at a discount of 30% from the wholesaler, the marked price being Rs 6,000. The dealer sells it to a shopkeeper at a discount of 10% on the marked price. If the rate of VAT is 6% find. (i) The price paid by the shopkeeper including the tax. (ii) The VAT paid by the dealer.

A manufacturer sells a washing machine to a wholsaler for Rs 15,000. The wholsaler sells it to a trader at a profit of Rs 1,200 and the trader in turn sells it to a consumer at a profit of Rs 1,800. If the rate of VAT is 8% find, (i) The amount of VAT received by the State Government on the sale of this machine from the manufacturer and the wholsaler. (ii) The amount that the consumer pays for the machine.

John borrowed Rs 20,000 for 4 years under the following conditions : 10% simple interest for the first 2(1)/(2) years. 10% C.I. for the remaining one and a half years on the amount due after 2(1)/(2) years, the interest being compounded half-yearly. Find the total amount to be paid at the end of fourth year.

Direction : Resistive force proportional to object velocity At low speeds, the resistive force acting on an object that is moving a viscous medium is effectively modeleld as being proportional to the object velocity. The mathematical representation of the resistive force can be expressed as R = -bv Where v is the velocity of the object and b is a positive constant that depends onthe properties of the medium and on the shape and dimensions of the object. The negative sign represents the fact that the resistance froce is opposite to the velocity. Consider a sphere of mass m released frm rest in a liquid. Assuming that the only forces acting on the spheres are the resistive froce R and the weight mg, we can describe its motion using Newton's second law. though the buoyant force is also acting on the submerged object the force is constant and effect of this force be modeled by changing the apparent weight of the sphere by a constant froce, so we can ignore it here. Thus mg - bv = m (dv)/(dt) rArr (dv)/(dt) = g - (b)/(m) v Solving the equation v = (mg)/(b) (1- e^(-bt//m)) where e=2.71 is the base of the natural logarithm The acceleration becomes zero when the increasing resistive force eventually the weight. At this point, the object reaches its terminals speed v_(1) and then on it continues to move with zero acceleration mg - b_(T) =0 rArr m_(T) = (mg)/(b) Hence v = v_(T) (1-e^((vt)/(m))) In an experimental set-up four objects I,II,III,IV were released in same liquid. Using the data collected for the subsequent motions value of constant b were calculated. Respective data are shown in table. {:("Object",I,II,II,IV),("Mass (in kg.)",1,2,3,4),(underset("in (N-s)/m")("Constant b"),3.7,1.4,1.4,2.8):} A small sphere of mass 2.00 g is released from rest in a large vessel filled with oil. The sphere approaches a terminal speed of 10.00 cm/s. Time required to achieve speed 6.32 cm/s from start of the motion is (Take g = 10.00 m//s^(2) ) :

Robert is selling televisions at an electronics store. The televisions normally cost $545 each but are being sold at an 8% discount. What is the minimum number of televisions Robert must sell if he wants to meet his quota of $1,00,000 in total sales?