If x+3, x-2, 6 and 5 are in proportion then find the mean proportional to x and 9x^{2}.

=> (x + 3)/(x – 2) = 6/5 => 5x + 15 = 6x – 12 => x = 27 Mean proportional to x and 9x = √(x×9x) = 3x = 3×27 = 81

- Three numbers are in ratio 4:5:7. If the sum of the squares of those three numbers is 360 then find the sum of the three numbers.
- P and Q together have Rs 2,420. If 8/15 of P’s amount is equal to 4/5 of Q’s amount, how much amount does Q have?
- 720 is divided into two parts in such a way that the sixth part of the first part and the seventh part of the second are in the ratio 5 : 6. How much percent second part is more than the first part?
- The price of sugar is increased by 35%. If the expenditure is not allowed to increase, the ratio between the reduction in consumption and the original consumption is:
- The ratio of the monthly incomes of Dinesh, Nikhil and Rohan is 64:73:81. If Dinesh’s monthly income is 10,496, then find Rohan’s annual income.
- 120 is divided into two parts in such a way that the sixth part of the first part and the seventh part of the second are in the ratio 5 : 6. How much percent second part is more than the first part?
- Three numbers are in ratio 5:6:7. If the sum of the squares of those three numbers is 440 then find the sum of the three numbers.
- A boy is supposed to distribute Rs.2400 among his three friends P, Q and R in the ratio of 4:3:5 respectively, but mistakenly he distributed in the ratio of 5:3:2 respectively. Find the difference between amount received by P mistakenly and the amount that P should have actually received.
- The ratio of the monthly incomes of Dinesh, Nikhil and Rohan is 64:73:81. If Dinesh’s annual income is 10,496, what is Rohan’s annual income?
- The ratio between two numbers is 1:2. If each number is increased by 8, the ratio between then become 5:6, find the difference between numbers.

More Ratio and proportion Questions

×