$A$ and $B$ together have ₹ $1210$. If $\frac{4}{15}$ of $A$'s amount is equal to $\frac{2}{5}$ of $B$'s amount,how much amount (in ₹) does $B$ have?

The prices of a scooter and a television set are in the ratio of $3:2$. If a scooter costs ₹ $600$ more than the television set,then the price of the television set is (in ₹):

Calculate the fourth proportional to the numbers $286, 78, 1342$.

The sum of two numbers is equal to $25$ and their difference is $20$. The ratio of the two numbers is

The annual incomes and expenditures of a man and his wife are in the ratios of $5: 3$ and $3: 1$,respectively. If they decide to save equally and find a balance of ₹ $4000$ at the end of the year (total savings),their incomes were:

If $B: A = 2: 3$ and $A: C = 5: 7$,then what is $(A + B) : (B + C)$?