Question 1
If \(P : Q = 6 : 11,\) \(Q : R = 5 : 4,\) and \(R : S = 9 : 7,\) find P : Q : R : S.
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If \(P : Q = 6 : 11,\) \(Q : R = 5 : 4,\) and \(R : S = 9 : 7,\) find P : Q : R : S.
A bag contains ₹10, ₹5, and ₹2 coins in the ratio \(1 : 2 : 3.\) If the total amount of money in the bag is ₹390, find the number of coins of each kind.
A tank holds \(5\frac{3}{4}\) liters of water. If 2.375 liters are drained twice, how much water remains?
Simplify: \(\left[\left(\frac{2}{3}\right) + \left(\frac{4}{5} \div \frac{2}{7}\right)\right]\) \({}\div \left[\left(\frac{3}{2}\right) - \left(\frac{5}{6} \times \frac{3}{4}\right)\right]\)
Simplify: \(\left(2\frac{1}{2} + 3.6\right) \div 0.75\) \({}+ \left(1.25 \times \frac{4}{5}\right)\)
A and B invested in a business in the ratio \(5 : 6.\) The profit ratio was \(10 : 9.\) If B invested his money for 12 months, for how many months did A invest?
The average of 9 numbers is 56. When one number is removed, the average becomes 54. What number was removed?
Table – Weekly Fuel Usage (litres)
| Vehicle | Mon | Tue | Wed | Thu | Fri |
|---|---|---|---|---|---|
| Truck1 | 18 | 20 | 22 | 21 | 19 |
| Truck 2 | 25 | 24 | 26 | 23 | 24 |
Q: What is the overall average daily fuel usage for both trucks?
A sum becomes ₹12100 in 2 years at 10% Compound Interest annually. Find the principal.
A grocer purchased 50 kg of rice at ₹40 per kg and 20 kg of another variety of rice at ₹55 per kg. He mixed the two varieties and sold the entire mixture at ₹48 per kg. Find his total profit or loss in this transaction.