Data Interpretation - Line Charts - Discussion
Discussion Forum : Line Charts - Line Chart 8 (Q.No. 3)
Directions to Solve
Two different finance companies declare fixed annual rate of interest on the amounts invested with them by investors. The rate of interest offered by these companies may differ from year to year depending on the variation in the economy of the country and the banks rate of interest. The annual rate of interest offered by the two Companies P and Q over the years are shown by the line graph provided below.
Annual Rate of Interest Offered by Two Finance Companies Over the Years.
3.
In 2000, a part of Rs. 30 lakhs was invested in Company P and the rest was invested in Company Q for one year. The total interest received was Rs. 2.43 lakhs. What was the amount invested in Company P?
Answer: Option
Explanation:
Let Rs. x lakhs be invested in Company P in 2000, the amount invested in Company Q in 2000 = Rs. (30 - x) lakhs.
Total interest received from the two Companies after 1 year
= Rs. [(7.5% of x) + {9% of (30 - x)}] lakhs
| = Rs. |  |
2.7 - |  |
1.5x |  |
![]](/_files/images/data-interpretation/common/15-sym-cbracket-h1.gif) |
lakhs. |
| 100 |
 |
|
2.7 - | |
1.5x | |
|
= 2.43  x = 18. |
| 100 |
Discussion:
12 comments Page 1 of 2.
Talop Thazey said:
5 years ago
Let amt invested in P = x.
And Q = (30-x).
(P) 7.5% of x +( Q) 9%of ( 30-x ).
Sol.
7.5/100*x + 9/100*30 - 9/100*x
Take that 7.5 to right side and subtract with 9
We will get 1.5x/100
9/100 * 30 = 2.70,
2.70 - (1.5x/100) = 2.43,
1.5x/100 = 2.43-2.70,
1.5/100. = 0.27,
0.27 * 100/1.5x,
270/1.5x,
X = 18.
And Q = (30-x).
(P) 7.5% of x +( Q) 9%of ( 30-x ).
Sol.
7.5/100*x + 9/100*30 - 9/100*x
Take that 7.5 to right side and subtract with 9
We will get 1.5x/100
9/100 * 30 = 2.70,
2.70 - (1.5x/100) = 2.43,
1.5x/100 = 2.43-2.70,
1.5/100. = 0.27,
0.27 * 100/1.5x,
270/1.5x,
X = 18.
(7)
Sreeraj said:
5 years ago
How we got the rate as 7.5 and 9%?
(1)
Ravi said:
8 years ago
Good explanation, thanks @Tushar.
Kiran said:
8 years ago
@Tushar.
2.7 - 2.43 Please explain this step.
2.7 - 2.43 Please explain this step.
Mizewar said:
10 years ago
It does not make sense for me!
Can you please explain with the very small steps?
Can you please explain with the very small steps?
Tushar Cool said:
1 decade ago
For 30 lakhs he receives interest @ 9% it amounts to 2.7 l and @ 7.5% it amounts to 2.25 l actually he received 2.43 l.
So 2.7-2.43 = 0.27.
And 2.43-2.25 = 0.18.
The ratio becomes 0.27:0.18.
i.e. 3:2 so amount deposited in higher ROI will be 12 and lower ROI will be 18 (30 lakh in ratio of 3:2).
Do it like mixture and allegations?
So 2.7-2.43 = 0.27.
And 2.43-2.25 = 0.18.
The ratio becomes 0.27:0.18.
i.e. 3:2 so amount deposited in higher ROI will be 12 and lower ROI will be 18 (30 lakh in ratio of 3:2).
Do it like mixture and allegations?
(1)
Lovely said:
1 decade ago
Is there any short cut to solve these types of questions?
Vishwanath said:
1 decade ago
Because 7.5 is the interest rate of company P in the year 2000 and Q as well.
Naveen said:
1 decade ago
Why we take 7.5 of x and 9%of 30-x?
Dina said:
1 decade ago
More detailed steps:.
(7.5% of x) + ( (9% of (30-x) ) = 2.43.
0.075x + 0.09 (30-x) = 2.43.
0.075x + 2.7 - 0.09x = 2.43 (subtract all the x s together).
-0.015x + 2.7 = 2.43.
-0.015x = 2.43 -2.7 (2.7 will go to the other side).
-0.015x = - 0.27 (both negative signs will cross each other).
x= 0.27/0.015 (both negative signs will cross each other).
x= 18.
(7.5% of x) + ( (9% of (30-x) ) = 2.43.
0.075x + 0.09 (30-x) = 2.43.
0.075x + 2.7 - 0.09x = 2.43 (subtract all the x s together).
-0.015x + 2.7 = 2.43.
-0.015x = 2.43 -2.7 (2.7 will go to the other side).
-0.015x = - 0.27 (both negative signs will cross each other).
x= 0.27/0.015 (both negative signs will cross each other).
x= 18.
(3)
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