Question Details

Average salary of Santosh and Renu is Rs 3600. If salary of Santosh and Renu is increased by 50% and 30% respectively, then their total salary is increased by 35%. Find salary of Renu is what percent more or less than salary of Santosh before increment?

Options

A

250%

B

233*1/3%

C

166*2/3%

D

225%

E

200%

Show Answer

Correct Answer :

Option E

200%

Solution :

The correct option is 200%.

Let the original salary of Santosh be S and the original salary of Renu be R.

According to the question, the average salary of Santosh and Renu is Rs 3600.

S+R2=3600

S+R=7200    --- (Equation 1)

When the salary of Santosh is increased by 50% and that of Renu is increased by 30%, their total salary increases by 35%.

Increase in Santosh's salary = 0.50S
Increase in Renu's salary = 0.30R
Total increase in salary = 0.35(S+R)

Setting up the equation for total increase in salary:

0.50S+0.30R=0.35(S+R)

Simplifying the equation:

0.50S+0.30R=0.35S+0.35R

0.50S-0.35S=0.35R-0.30R

0.15S=0.05R

Dividing both sides by 0.05:

3S=R  or  R=3S

We are asked to find by what percent the salary of Renu is more than the salary of Santosh before the increment.

Difference in salary = R-S=3S-S=2S

Percentage by which Renu's salary is more than Santosh's salary:

Percentage More=(R-SS)×100

Percentage More=(2SS)×100=2×100=200%

Hence, the salary of Renu before increment is 200% more than the salary of Santosh.

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