Question
Cost of 10 shirts and 12 pants is Rs. 7,800 and the cost
of 8 shirts and 11 pants is Rs. 6,450. Find the total cost of 5 shirts and 4 pants.Solution
ATQ, Let the cost of a shirt and a pant be Rs. 'a' and Rs. 'b', respectively. So, 10a + 12b = 7,800 ---------- (I) And, 8a + 11b = 6,450 ---------- (II) On solving, 4 X equation (I) and - 5 X equation (II), we get, 4 X (10a + 12b) - 5 X (8a + 11b) = 4 X 7,800 - 5 X 6,450 Or, 40a + 48b - 40a - 55b = 31,200 - 32,250 Or, -7b = -1,050 So, 'b' = 150 On putting the value of 'b' in equation (I), we get, 10a + 12 X 150 = 7,800 Or, 10a = 7,800 - 1,800 Or, 10a = 6,000 So, 'a' = 600 Therefore, required cost = (5a + 4b) = 5 X 600 + 4 X 150 = 3,000 + 600 = Rs.3,600
What will come in place of (?) Question mark in the given number series.
5, 26, 68, 131, 215, 320, ?
13, 41, 69, ?, 125, 153
945, 1890, ?, 504, 144, 32
161 173 191 215 245 ?
...What will come in place of the question mark (?) in the following series?
2.5, 6.5, 18.5, 54.5, 162.5, 486.5, ?
45 45.5 47 49.5 53 ?
...What will come in place of the question mark (?) in the following series?
?, 65, 37, 73, 29, 81
7, 176, ?, 378, 427, 452
...If series II follows the same sequence pattern as series I shown below, determine the value of 'p'.
Series I: 3, 4, 9, 34, 159, 784
Se...
144, 288, 96, 384, 76.8, ?
