Question

Rohit income is 10% more than Rahul income . Find what percent of Rahul income is less than Rohit income​

Answer 1

Given :

• Rohit income is 10% more than Rahul income .

To find :

• what percent of Rahul income is less than Rohit income

Solution :

Let Rahul income be 100, then

Rohit income would be 110. Rahul income is 10 less than rohit income.

Let this percentage be x.

So,

: 10 : 110 : : x : 100

x = 10 x 100/110

x = 1 x 100/11

x = 9.09

∴ Thus, rahul income is 9.09% less than Rohit income.

Extra information :

• Gain = SP - CP

• loss = CP - SP

• Gain % = gain x 100/CP

• Loss % = loss x 100/CP

• SP = (100 + gain %) x CP/100

• CP = (100 - loss%) x CP/100

• Discount % = Discount x 100/market price

Answer 2

Answer:

Let Rahul's Income be 100.

• Rohit's Income will be :

$:\implies\sf Rohit=Rahul \times (100+More)\%\\\\\\:\implies\sf Rohit = 100 \times (100 + 10)\%\\\\\\:\implies\sf Rohit = 100 \times\dfrac{110}{100}\\\\\\:\implies\sf Rohit = 110$

$\rule{180}{1.5}$

• Rahul Income is Less than Rohit :

$:\implies\sf Less\%=\dfrac{Rohit-Rahul}{Rohit} \times 100\\\\\\:\implies\sf Less\%= \dfrac{110 - 100}{110} \times 100\\\\\\:\implies\sf Less\%= \dfrac{10}{110} \times 100\\\\\\:\implies\sf Less\%= \dfrac{100}{11} \\\\\\:\implies\underline{\boxed{\sf Less\%=9{}^{1}\!/{}_{11}\%}}$