Dr. Sanjeev Verma and R.K. Tyagi Solutions for Chapter: Ratio and Proportion, Exercise 7: HOTS

Two numbers are in the ratio $5 : 6$. If $8$ is subtracted from each, the ratio becomes $4: 5.$ Find the numbers.

 If $x: y=3: 2,$ find $(2x + 3y) : (3x + 5y).$

What number must be added to each of the numbers $10, 18, 22, 38$ to get the numbers which are in proportion?

A man sold two radios at $₹4800$ each. Onone he gains $20\%$ and on the other he loses $20\%$. Find the gain or loss per cent in the whole transaction.

 Divide $₹12000$ into two parts such that the simple interest on the first part for $2$ years at $6\%$ per annum is equal to the simple interest on the second part for $3$ years at $8\%$ per annum.