Question:
The ratio of present ages of P and Q is 7: 3. After 4 years their ages will be
in the ratio of 2: 1. What is the present age of P? [Ans. (b) 28 yrs]
(a) 24 yrs (b) 28 yrs (c)
32 yrs (d) Data inadequate (e) none of these
Solution:
Detailed Explanation:
First Method: Let the present
ages of P and Q are 7x and 3x. After 4 years their ages will be 7x+4 and 3x+4.
Given that the ratio of their ages after 4 years is 2: 1.
(7x + 4)/(3x + 4) = 2: 1
Or, x = 4 years
P = 7×4 = 28 yrs
Ans.
Second Method: Let the
ages of P and Q after 4 years is 2x: 1x. Their present ages are respectively 2x-4
and 1x-4. Given that the ratio of their present ages is 7: 3.
(2x - 4)/(1x - 4) = 7: 3
Or, x = 4 ×4 = 16
years
P = 2×16 - 4 = 28
yrs Ans.
The simple interest obtained when a certain sum of money is invested in scheme A for 3 years is 38.8 less than the simple interest obtained when the same sum of money is invested in scheme B for 4 years .If the rates of interest offered by scheme A and scheme B are 14% pa and 12.5 pa respectively ,how much money was invested in these scheme individually ?
ReplyDelete1.440 2.450 3.490 4.475 5.485
Pawan invested rs 16400 in each of the two schemes A and B .A offers compound interest and scheme B offers simple interest .In both the schemes he invested for two years and the rate of interest of both the schemes are equal .If the interest earned by him scheme A is rs236. 16 more than the interest earned by him from scheme B ,what is the rate of interest of both the schemes ?
1.9 2.11 3.14 4.12 5. 8