If the position of the digit ‘2’ is interchanged with the position of the digit ‘4’, and the position of the digit ‘5’ is then changed with the position of the digit ‘3’, then what is the value of the given expression?
47 × 56 ÷ 6 − 2 × 3
If −1 is a root of the equation 3x² + px + 2 = 0, and 7x² + px + k = 0 has equal roots, then what is the value of k?
\( \frac{2}{3} \)
\( \frac{7}{4} \)
\( \frac{7}{2} \)
\( \frac{4}{3} \)
A sum of Rs 2,500 is invested in a bank at 6% interest per annum compounded annually. On maturity, the amount payable becomes Rs 2,809. Find the time period of the investment.
Ravi spends 20% of his income on petrol, one-third of the remaining income on household expenditure, and the balance is his savings. If he spends Rs 7,500 on petrol, find his household expenditure.
If 60% of A = 1.2 of B = \( \frac{2}{5} \) of C, then find A : B : C.