Question
Income of Arjun is 25% more than the expenditure of
Varun. Income of Varun is 60% more than the expenditure of Arjun. If savings of Varun is Rs. 5,000 more than that of Arjun and ratio between expenditure and savings of Arjun is 8:3, respectively, then find the income of Varun.Solution
Let the expenditure of Varun be Rs. ‘4x’
So, income of Arjun = 4x × (5/4) = Rs. ‘5x’
Let the expenditure of Arjun be Rs. ‘5y’
So, income of Varun = 5y × (8/5) = Rs. ‘8y’
So, savings of Arjun = 5y × (3/8) = Rs. (15y/8)
ATQ;
5x – 5y = (15y/8)
Or, 5x = (55y/8)
Or, x = (11y/8)
Since, savings of Varun is Rs. 5,000 more than that of Arjun.
8y – 4x = (15y/8) + 5000
On putting x = (11y/8):
5y/2 = 15y/8 + 5000
Or, 20y = 15y + 40000
So, y = 8000
So, income of Varun = 8 × 8000 = Rs. 64,000
What was the theme of the 38th National Games of India?
How many infants receive free vaccines annually under India’s Universal Immunization Programme (UIP)?
Which of the following statements is/are NOT true with respect to the shrinkage of the NBFC loans in the urban areas according to the data provided by t...
PADMA, the Centralised Pay System for Indian Coast Guard has recently been launched. What does D stand for?
PADMA, the Centralized Pay System has recently been launched for?
What was the theme of International Day of Education 2022?
The _______________ won SKOCH Award in Silver category for its work towards combating Crime and Violence against Children.
Collarwali tigress, also known as T-15, passed away in _____ Tiger Reserve in Madhya Pradesh.
Which district in Uttarakhand inaugurated the first Dettol Climate Resilient School under the Dettol School Hygiene Education Program?
Which country has become India’s second biggest Oil Exporter?
Relevant for Exams:
