Aman's expenses are 30% more than Vimal's expenses and Vimal's expenses are 10% less than Raman's expenses. If the sum of the expenditure of all three is Rs. 6,447, then what is the Expenditure of Aman?

If $$ {8x\over{2x^{2}+7x-2}}=1, x>0,$$ then what is the value of of $$ {x^{3}+{1\over x^{3}}}$$ ?

Arun and Amit can do a piece of work in 9 days and 12 days respectively. If they work for alternate days and Amit starts the work first, then in how many days 35/36 parts of whole work will be completed?

If there is a 25 percent reduction in the price of rice, a person can buy 10 kg more rice for Rs 600. The reduced price per kg of rice is.

A vessel contains some mixture of Water and Alcohol in the ratio 2 ∶ 1. 12 liters of mixture is removed and replaced with water and the final ratio becomes 4: 1. What is the amount of Alcohol in the initial Mixture?

Evaluate: $$ {9।3-5।-5।-5।4।÷10\over-3(5)-2×4÷2}$$

A sum becomes 5 times of itself in 3 years at compound interest (interest is compounded annually). In how many years will the sum becomes 125 times of itself?

If $$ {81\ × 343\ ×625}={3^{p}}\ {7^{q}}\ {5^{r}}$$ then find out the value of  $$ {\sqrt{(p-r)^{2}+q^{2}}}$$.