Rice worth ₹43/kg and ₹67/kg are mixed with a third variety in the ratio 2 : 1 : 5. If the mixture is worth ₹96/kg, the price (in ₹) of the third variety of rice per kg will be:
123
Let the price of the third variety be x. Using the rule of mixtures, we have: (2 × 43 + 1 × 67 + 5 × x) / 8 = 96. Solving for x, we get x = ₹123.
My father is presently 25 years older than me. The sum of our ages 5 years ago was 39 years. Find my present age.
42 litres of milk at ₹25 per litre is mixed with 28 litres of milk at ₹40 per litre. Find the average price of the mixture.
15 kg of ₹10 per kg wheat is mixed with 5 kg of another type of wheat to get a mixture costing ₹30 per kg. Find the price (per kg) of the costlier wheat.
If a + b + c = 0, then the value of (a² + b² + 2ab) is equal to:
Simplify:
25 - (18 - 4 × 9 ÷ 3)