Question

1] Vijay’s income is 25% more than that of Rohan. What percent is Rohan’s income

less than Vijay’s income?

2] Rahim bought a TV for Rs.22000 including a GST of 10%. Find the price of the TV

before GST was added .

​

Answer 1

Answer:

1. 20%

2. 20000

Step-by-step explanation:

1.

Let Rohan's Salary is Rs. 100. Then,

Vijay's Salary = (100 + 25% of 100) = Rs. 125

Difference between Vijay's Salary and Rohan's Salary = 125 - 100 = Rs. 25

% Difference (lower) = (25/125) × 100

= 20%

2.

Let the original cost of tv = RS 100

GST= 10%=100*10/100=RS 10

cost including Gst=100+10=RS 110

when CP including GST is RS 110, CP=RS 100

when CP including GST is RS 22000, CP= 100/110×22000

=20000

Therefore, price of TV before GST is added is RS 20000.

Answer 2

income of Rohan is 20% less than income of Vijay.

Step-by-step explanation:

Let Vijay's income be x and Rohan's income be y

According to the question

x=y+25% of y

⇒x=y+

100

25

×y

⇒x=(

100

125

)y

⇒y=

125

100

x

⇒y=

125

(125−25)

x

⇒y=x−

5

1

x

⇒y=x−

100

20

x

⇒y=x−20% of x

Therefore, income of Rohan is 20% less than income of Vijay.