Latest Accenture Aptitude Question SOLUTION: The cost of two varieties of paint is Rs.3969 per 2 kg and Rs.1369 per 2 kg respectively. After how many years will the value of both paint be the same, if variety1 appreciates at

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The cost of two varieties of paint is Rs.3969 per 2 kg and Rs.1369 per 2 kg respectively. After how many years will the value of both paint be the same, if variety1 appreciates at 26% per annum and variety2 depreciates at 26% per annum?

Asked In Accenture chandreyee chowdhury (9 years ago)

Unsolved Read Solution (4)

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ABHINAV TIWARI  (9 years ago)

Assuming variety1 depreciates and variety2 appreciates....

If the value P depreciates at the rate of R% per annum then after n years it becomes =
P x (1 - R/100)^n
And if the value of P appreciates at the rate of R% per annum then after n years it becomes =
P x (1 + R/100)^n.

Let the required time be n years.
Given that, the cost of variety1 is Rs.3969 and depreciates at the rate of 26% per year.
Therefore, the cost of variety1 after n years = P x (1 - R/100)^n
= 3969 x (1- 26/100)^n
= 3969 x (74/100)^n ...(1)

And, the cost of variety2 is Rs.1369 and appreciates at the rate of 26% per year.
Therefore, the cost of variety2 after n years = P x (1 + R/100)^n
= 1369 x (1+ 26/100)^n
= 1369 x (126/100)^n ...(2)

From the given condition, we have (1) and (2) are equal.
i.e., 3969 x (74/100)^n = 1369 x (126/100)^n

3969/1369 = (126/74)^n
(63/37)^2= (63/37)^n
n = 2.

Hence the required answer is 2 years.

Is this solution Helpfull? Yes (21) | No   

Yash Puri  (9 years ago)

acc to ques 3969(1-26/100)^n=1369(1+26/100)^n
on solvin 3969/1369=(126/74)^n
(63/37)^2=(63*2/37*2)^n
so n=2

Is this solution Helpfull? Yes (6) | No   

Neeraj Maheshwari  (9 years ago)

Simply appreciates variety1 by 26% and depreciates variety2 by 26% as:

Var1 var2
3969.00 1369 initially
2937.06 1724.94 after I year
2173.42 2173.42 after II year

so the price become same after 2 years

Is this solution Helpfull? Yes (3) | No   

vivek jayanthi  (9 years ago)

No,the cost of both the paints will never be same.(if it is wrong please suggest me)

Is this solution Helpfull? Yes (2) | No (6)  

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