Advertisements
Advertisements
Question
Write whether the following statement vary directly, vary inversely with each other, or neither of the two.
Simple interest on a given sum and the rate of interest.
Advertisements
Solution
Simple interest on a given sum and the rate of interest are directly proportional to each other.
E.g. Let P = Rs 1000, R = 10% and T = 1 yr
∴ `SI = (P xx R xx T)/100`
= `(1000 xx 10 xx 1)/100`
= Rs 100
But if P = Rs 1000, R = 20% and T = 1yr
∴ `SI = (P xx R xx T)/100`
= `(1000 xx 20 xx 1)/100`
= Rs 200
APPEARS IN
RELATED QUESTIONS
A mixture of paint is prepared by mixing 1 part of red pigments with 8 parts of base. In the following table, find the parts of the base that need to be added.
| Parts of red pigment | 1 | 4 | 7 | 12 | 20 |
| parts of base | 8 | .... | .... | .... | .... |
A machine in a soft drink factory fills 840 bottles in six hours. How many bottles will it fill in five hours?
A, B and C can reap a field in \[15\frac{3}{4}\] days; B, C and D in 14 days; C, D and A in 18 days; D, A and B in 21 days. In what time can A, B, C and D together reap it?
8 men can do a piece of work in 9 days. In how many days will 6 men do it?
If the cost of 8 apples is ₹ 56 then the cost of 12 apples is _______
An auto rickshaw takes 3 hours to cover a distance of 36 km. If its speed is increased by 4 km/h, the time taken by it to cover the same distance is ______.
In direct proportion, `a_1/b_1` ______ `a_2/b_2`
Write whether the following statement vary directly, vary inversely with each other, or neither of the two.
Distance travelled by an auto-rickshaw and time taken.
It is given that l varies directly as m. Find l, when m is 33.
Match each of the entries in Column I with the appropriate entry in Column II
| Column I | Column II |
| 1. x and y vary inversely to each other | A. `x/y` = Constant |
| 2. Mathematical representation of inverse variation of quantities p and q |
B. y will increase in proportion |
| 3. Mathematical representation of direct variation of quantities m and n |
C. xy = Constant |
| 4. When x = 5, y = 2.5 and when y = 5, x = 10 | D. `p oo 1/q` |
| 5. When x = 10, y = 5 and when x = 20, y = 2.5 | E. y will decrease in proportion |
| 6. x and y vary directly with each other | F. x and y are directly proportional |
| 7. If x and y vary inversely then on decreasing x | G. `m oo n` |
| 8. If x and y vary directly then on decreasing x | H. x and y vary inversely |
| I. `p oo q` | |
| J. `m oo 1/n` |
