Question

460
A certain sum amounts to INR 9799 in 3 years and to INR 12464 in 8 years at a certain rate percent per
annum, at simple interest. What will be the amount (in rupees) of the same sum in 5 years at double the earlier
rate, at simple interest?
O 12960
13530
0 13500
012840
153110​

Answer 1

Answer:

Ans is 13530

Step-by-step explanation:

X inr in 3years -9799

X inr in 8 years 12646

So,

X inr in 5years

12646-9799=2665

1 year interest- 2665/5=533

=>X+3*533=9799

Or,x = 9799-1599

Or,. = 8200

Now if interest becomes double (*2)

Then

After 5 year the amount will be

8200+((533*2)*5)

= 8200+5330

= 13530

Answer 2

SOLUTION :

GIVEN

A certain sum amounts to INR 9799 in 3 years and to INR 12464 in 8 years at a certain rate percent perannum, at simple interest.

TO CHOOSE THE CORRECT OPTION

The amount (in rupees) of the same sum in 5 years at double the earlier rate, at simple interest

• 12960
• 13530
• 13500
• 12840

EVALUATION

Let the Principal = P

Since the problem is of simple interest

So interest of a certain principal amount with same rate of interest per year will be same

Let Interest per year = I

Now by the first condition

$\sf{}P + 3I = 9799 \: \: \: .......(1)$

Again by the second condition

$\sf{}P + 8I = 12464 \: \: \: .......(2)$

Equation (2) - Equation (1) gives

$\sf{}5I = 2665 \: \: \:$

$\implies \sf{}I = 533$

From Equation (1)

$\sf{}P = 9799 - (3 \times 533)$

$\implies \sf{}P = 9799 - 1599$

$\implies \sf{}P = 8200$

Now if the rate of interest doubled then amount of interest per year will be doubled

So the amount of the same sum (= 8200) in 5 years at double the earlier rate, at simple interest

$= \sf{}P + (2 \times 5)I$

$= \sf{}P + 10 \: I$

$= \sf{}8200 + (10 \times 533)$

$= \sf{}8200 + 5330$

$\sf{} = 13530$

FINAL RESULT

The amount of the same sum in 5 years at double the earlier rate, at simple interest

= INR 13530

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