Mathematics
Prove the following identities : = (sin θ - 2 sin)^3 θ\(2 cos)^3 θ - (cos θ) = tan θ
Related Questions
Jagmohan bought the following items (named A, B and C) as shown below:
Item M.P.(₹) Discount Quantity GST A 800 20% 15 5% B 1,500 30% 20 12% C 30 - 20 18% Calculate:
(i) Total GST paid
(ii) Total bill amount
The printed price of a machine is ₹ 90,000. The wholesaler allows a discount of 10% (on the printed price) to a shopkeeper. The shopkeeper sells this machine to a consumer at a discount of 5% on the printed price. The GST is charged at the rate of 12% at every stage. Find:
(i) GST paid by the shopkeeper.
(ii) The total amount paid by the customer.
Find the total amount of following bill.
Note:
(i) 20% discount is applicable, if 50 or more articles are purchased
(ii) 10% discount is applicable only if the number of articles purchased is 30 or more but less than 50.
(iii) 5% discount is applicable on the purchase of less than 30 articles.
GST on all the articles is 12%
Article M.P.(₹) Number of articles A 500 80 B 400 50 C 200 40 D 150 20 Case study
(i) Peter visited a site of a builder to purchase a flat for his residential purpose. At the site, he examined ready-to-move (completed flats) as well as under-construction flats.
All the flats were not of same size.
(I) 2 BHK under-construction flats were to cost ₹ 45 lakhs or less (GST payable 1%)
(II) The bigger under-construction flats, (3 BHK or more) were to cost more than ₹ 45 lakhs (GST payable 3%)
(III) The completed, ready-to-move-in flats were available for purchase with GST exempted (GST 0%)
Using the above information, find GST on :
1. an under-construction flat with cost
(a) ₹ 40,20,000
(b) ₹ 79,32,0002. a completed (ready-to-move-in) flat with cost ₹ 89,00,000
(ii) Peter decided to purchase an under-construction flat costing ₹ 96,84,000. After bargaining, the builder offered a discount of ₹ 4,50,000.
How much will Peter pay if he purchases that flat?