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Jalal started work 2 years ago. His starting salary was 1/2

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Emdad
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Jalal started work 2 years ago. His starting salary was 1/2 [#permalink] New post   15 May 2021, 03:31
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50% (02:52) correct 50% (02:14) wrong based on 42 sessions
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Jalal started work 2 years ago. His starting salary was 1/2 of Millat's salary at that time. Each year since then Jalal has received a raise of 5% in his salary and Millat has received a raise of 10% in his salary. What percentage (to the nearest percent) of Millat's current salary is Jalal's current salary?
(A) 45
(B) 46
(C) 48
(D) 50
(E) 220

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B
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B
MarmikUpadhyay
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Jalal started work 2 years ago. His starting salary was 1/2 [#permalink] New post   16 May 2021, 21:16
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Emdad wrote:
Jalal started work 2 years ago. His starting salary was 1/2 of Millat's salary at that time. Each year since then Jalal has received a raise of 5% in his salary and Millat has received a raise of 10% in his salary. What percentage (to the nearest percent) of Millat's current salary is Jalal's current salary?
(A) 45
(B) 46
(C) 48
(D) 50
(E) 220

Posted from my mobile device


Let Jalal's salary 2 years ago = J, Millat's salary two years ago = M
Given: J = M/2, Jalal received a raise of 5% each year and Millat received a raise of 10% each year for 2 years.

Current salary of Jalal = J * 1.05 * 1.05 = M/2 * 1.05 * 1.05
Current salary of Millat = M * 1.1 * 1.1

Jalal's current salary as percentage of Millat's current salary = \(\frac{M}{2 * 1.05 * 1.05/M * 1.1 * 1.1 * 100}\) = 45.55% \(\approx\) 46%

So, current answer is option B.
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AnkithaSrinivas
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Jalal started work 2 years ago. His starting salary was 1/2 [#permalink] New post   20 May 2021, 00:34
MarmikUpadhyay wrote:
Emdad wrote:
Jalal started work 2 years ago. His starting salary was 1/2 of Millat's salary at that time. Each year since then Jalal has received a raise of 5% in his salary and Millat has received a raise of 10% in his salary. What percentage (to the nearest percent) of Millat's current salary is Jalal's current salary?
(A) 45
(B) 46
(C) 48
(D) 50
(E) 220

Posted from my mobile device


Let Jalal's salary 2 years ago = J, Millat's salary two years ago = M
Given: J = M/2, Jalal received a raise of 5% each year and Millat received a raise of 10% each year for 2 years.

Current salary of Jalal = J * 1.05 * 1.05 = M/2 * 1.05 * 1.05
Current salary of Millat = M * 1.1 * 1.1

Jalal's current salary as percentage of Millat's current salary = \(\frac{M}{2 * 1.05 * 1.05/M * 1.1 * 1.1 * 100}\) = 45.55% \(\approx\) 46%

So, current answer is option B.


@targetprep
if we assume 100 and 50 as salary

100-105-115.5
50-55-60.5
what percnt is 60 out of 115
is this approach correct
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B
MarmikUpadhyay
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Re: Jalal started work 2 years ago. His starting salary was 1/2 [#permalink] New post   21 May 2021, 22:42
Expert Reply
AnkithaSrinivas wrote:
MarmikUpadhyay wrote:
Emdad wrote:
Jalal started work 2 years ago. His starting salary was 1/2 of Millat's salary at that time. Each year since then Jalal has received a raise of 5% in his salary and Millat has received a raise of 10% in his salary. What percentage (to the nearest percent) of Millat's current salary is Jalal's current salary?
(A) 45
(B) 46
(C) 48
(D) 50
(E) 220

Posted from my mobile device


Let Jalal's salary 2 years ago = J, Millat's salary two years ago = M
Given: J = M/2, Jalal received a raise of 5% each year and Millat received a raise of 10% each year for 2 years.

Current salary of Jalal = J * 1.05 * 1.05 = M/2 * 1.05 * 1.05
Current salary of Millat = M * 1.1 * 1.1

Jalal's current salary as percentage of Millat's current salary = \(\frac{M}{2 * 1.05 * 1.05/M * 1.1 * 1.1 * 100}\) = 45.55% \(\approx\) 46%

So, current answer is option B.


@targetprep
if we assume 100 and 50 as salary

100-105-115.5
50-55-60.5
what percnt is 60 out of 115
is this approach correct


Yes the approach is correct, but numbers are incorrect.
So for Millat 100, then 110 and then 121.
For Jalal, 50, then 52.5 then 55.125.

So, yes 55.125 is approx 46% of 121.

You took 10% for Jalal and 5% for Millat. Otherwise it's fine.

Hope it helps!
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Re: Jalal started work 2 years ago. His starting salary was 1/2 [#permalink]
21 May 2021, 22:42
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