Question
A jar contains a mixture of orange juice and water in
the ratio of 4:1. 75 litres of the mixture was taken out and 25 litres of water was added to it. If the water was 40% in the resultant mixture, what was the initial quantity of the mixture in the jar?Solution
Orange : water 4x : x Total = 5 x 75 litre of mixture taken out, Orange = 4x/5x × 75 = 60 Orange in mixture = 4x – 60 Water in mixture = x/5x × 75 = 15 Water = (x – 15) + 25 = x + 10 According to the question, (x+10)/(4x-60) = 40/60 6x + 60 = 16x – 240 10x = 300 ∴ x = 30 Initial quantity of mixture = 4x + x = 5x Initial quantity of mixture = 5 × 30 = 150 litres
What value should come in the place of (?) in the following number series?
178, ?, 692, 861, 982, 106331Â Â Â 40Â Â Â 51Â Â Â 64Â Â Â 79Â Â Â Â ?
What will come in place of the question mark (?) in the following series?
92, 153, 220, ?, 364, 443
32, 48, 72, 108, ?, 243
10, 10, 15, 30, 75, ?
17, 36, 65, 104, 153, ?
12, 16, ?, 48, 76, 112
114, 146, 210, 306, 434, ?
What will come in place of (?) Question mark in the given number series.
10, 15, 30, 75, 225, 787.5, ?
5, 18, 39, ?, 105, 150
