Question

Raman can save 20% of his monthly income due to rising inflation ,his daily expenditure increase by 20% .now he can save only 10rupees daily .find his monthly income.

Answer 1

Define x:

Let his income be x

Raman can save 20% of his monthly saving:

⇒ He said 0.2x

⇒ He spent x - 0.2x = 0.8x

His expenditure increases by 20%:

⇒ increase of 20% =  20% x 0.8x = 0.2 x 0.8x = 0.16x

⇒ His new expenditure = 0.8x + 0.16x = 0.96x

Find x:

New saving =  x - 0.96x = 0.04x

0.04x = Rs 10

x = 10 ÷ 0.04

x = Rs 250

Answer: His monthly income is Rs 250

Answer 2

correct question : Raman can save 20% of his monthly income due to rising inflation, his daily expenditure increase by 20% . now he can save only ₹10 monthly. Find his monthly income


solution:
-----------

let his monthly income be ' x '





money saved = 20% of his income



Find the original saving:
--------------------------------


original saving = 20% of x = 0.2 x




Find his original expenditure:
----------------------------------------






original expenditure= salary - o. saving



= x - 0.2x = 0.8x


since, increase in expenditure = 20 %


Find the increase :
-------------------------


increase = 20 %of 0.8x = 0.2× 0.8x = 0.16x


Find the new expenditure:
------------------------------------




new expenditure = original expenditure + increase




= 0.8x + 0.16x = 0.96 x




Find the new saving:
-----------------------------

new saving = salary - new expenditure




= x - 0.96x = 0.04x





Given, his new monthly saving = ₹ 10




0.04x = 10



4x ÷ 100 = 10 => 4x = 1000


x = ₹250




therefore, his monthly income = ₹250




Answer = ₹250
---------------------