Question
Rahul deposited an amount ‘Q’ in a plan A and earned
Rs. 300 as interest after one year. He then added Rs. 600 to the amount and re-invested the entire sum in the same plan A for another year. After the second year, he received Rs. 5280 as the total amount. Find the interest earned if the amount ‘Q’ was invested in a different scheme B offering 10% compound interest per annum for 2 years.Solution
ATQ,
Let, rate of interest be r% per annum.
Q × r% × 1 = 300 … (i)
Also, ((Q + 300) + 600) × r% × 1 = 5280 – ((Q + 300) + 600)
(Q + 900) × r% = 5280 – Q
(Q + 900) × (300/Q) = 5280 – Q
300Q + 270000 = 5280Q – Q²
Q² – 4980Q + 270000 = 0
Q² – 4800Q – 180Q + 270000 = 0
Q (Q – 4800) – 180 (Q – 4800) = 0
(Q – 4800)(Q – 180) = 0
Q = 4800 and Q = 180
Therefore, required interest = 4800 × [(1 + 10/100)² – 1] = 4800 × (1.21 – 1) = Rs. 1008
It is a popular misconception that nuclear fusion power is free of radioactivity; in fact the deuterium-tritium reaction that nuclear scientists are cur...
Find the missing term in the series given below.
1AZ, 4DW, ____, 10JQ
In a certain code language, ‘That is my rifle’ is written as ‘Bx Uo Zp Mj’, ‘This is my kite’ is written as ‘Zp Py Uo Gt’, ‘That is yo...
What is the code for ‘not’?
I. In a certain code language, code for ‘blanket on bed’ is ‘gum chum shum’ and t...
Eight colleagues KZ, LZ, MZ, NZ, OZ, PZ, QZ and RZ are seated in a circle facing the centre. NZ is an immediate neighbour of both LZ and QZ. PZ is an im...
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at varianc...
Which of the answer figures is the exact mirror image of the given problem figure when the mirror is held at the right side?
Problem figures:
...In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is /are definitely true and t...
Four of the following five are alike in a certain way based on the given arrangement and thus form a group. Which is the one that does not belong to tha...
In the following question, select the related word pair from the given alternatives.
Poem: Poetry