Question
Aman invested Rs. 'a' and Rs. (a + 2300) in SIP 'P' and
'Q', respectively, in a way that the amounts received from both SIPs after 2 years are equal. If SIP 'P' and 'Q' provide compound interest (compounded annually) at rates of 20% p.a. and 10% p.a., respectively, then determine the value of 'a'.Solution
We can say that, Amount received on investing Rs.‘a’ for 2 years at 20% interest p.a., compounded annually = a × (1 + 20/100)2 = Rs.{y × (6/5)2} Amount received on investing Rs. (a + 2300) for 2 years at 10% interest p.a., compounded annually = (a + 2300) × (1 + 10/100)2 = Rs. {(a + 2300) × (11/10)2} ATQ; a × (6/5)2 = (a + 2300) × (11/10)2 Or, (36a/25) = (a + 2300) × (121/100) Or, (36a/25) × (100/121) = a + 2300 Or, 144a = 121a + 287300 Or, 23a = 278300 Or, a = 12100
If the length of a rectangle is increased by 40%, and the breadth is decreased by 20%,then the area of the rectangle increases by x%. Then the value of ...
A number is increased by 20%, and the resulting number is decreased by 20%. If the initial number is ₹x, the final number is ₹2880. What is the valu...
Solve for x in the equation: 3(x + 2) + 2(2x - 5) = 5x + 9
(u - 5) 2 + (v + 2) 2 + (w – 4) 2 = 0, then find the value of 4u - v + w.
If x = (√13 + √12)/ (√13 - √12) and y = (√13 - √12)/(√13 + √12), then find the value of 4x2 – xy + 4y2.
...If a, b and c are integers such that a 2 + b 2 + c 2 = 228, a + b + c = 26 and b = c, then find the value of a?
Find ‘x’ if (x³+3x)/(3x²+1) = 189/61
What is the highest common factor of (x³ - x² - x - 15) and (x³ - 3x² - 3x + 9)?
If ( p = 40 - q - r ) and ( pq + r(q + p) = 720 ), then find the value of ( p2 + q2 + r2).
Relevant for Exams:
