Two sarees and four shirts cost Rs. 1600. One saree and six shirts can be purchased for the same amount of money. How much will it cost to purchase 12 shirts?
A. Rs. 1200
B. Rs. 2400
C. Rs. 4800
D. Cannot be determined
Answer:B
Two sarees and four shirts cost Rs. 1600. One saree and six shirts can be purchased for the same amount of money. How much will it cost to purchase 12 shirts?
A. Rs. 1200 B. Rs. 2400 C. Rs. 4800 D. Cannot be determined
Explanation: Assume that a saree and a shirt are priced at Rs. x and Rs. y, respectively. Then 2x + 4y = 1600 I and x + 6y = 1600 (ii) (ii)We derive the following equation by multiplying equation I by two.=> 800 = x + 2y. —- (iii)Subtract (iii) from (ii) to get x + 6y = 1600 (-) x + 2y = 800. ———————— 4 years = 800 ———————As a result, y = 200.Now apply the y value from (iii): x + 2 x 200 = 800 => x + 400 = 800.As a result, x = 400,We get x = 400 and y = 200 by solving I and (ii).12 shirts cost Rs. (12 x 200)=Rs2400