Latest IIT-JEE Aptitude Question SOLUTION: The incomes of Gupta and Verma are in the ratio of 9:4 and their expenditures are in the ratio of 7:3. If both save Rs. 2000, Gupta's expenditure is

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(#M40035254) IIT-JEE Numerical Ability question Numerical Ability and Scientific Aptitude Keep an EYE

The incomes of Gupta and Verma are in the ratio of 9:4 and their expenditures are in the ratio of 7:3. If both save Rs. 2000, Gupta's expenditure is

Asked In IIT-JEE Rashmi Sunder (10 years ago)

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Saraswathy  (10 years ago)

Ratio of Gupta nd verma's income => 9 : 4 => say 9x : 4x
Ratio of their expenditure => 7 : 3 => say 7y : 3y
both save Rs. 2000
savings = income - expenditure
Gupta's Savings => 9x - 7y = 2000 --->(1)

Verma's Savings => 4x - 3y = 2000 --->(2)

Eqn (1) - (2)
x = 4y/5
Sub x = 4y/5 in (2)
16y/5 - 3y = 2000

y = 10000
x = 80000

Gupta's Income => 9x => 9*80000 = 72000
Gupta's expenditure => 7y => 7*10000 = 70000
Verma's Income => 4x => 4*80000 = 32000
Verma's Expenditure => 3y => 3*10000 = 30000

Ans : Rs. 70000

Is this solution Helpfull? Yes (6) | No (1)  

Prince Kumar Yadav  (10 years ago)

Gupta Expenditure= 10000 rupees.

Income of gupta=9x
Expenditure of Gupta = 7y

Income of Verma = 4x
Expenditure of Verma = 3y

so equation formed will be:

9x - 7y = 2000
4x - 3y = 2000

solve this both euation to get the value of 'y'

Is this solution Helpfull? Yes (1) | No   

SUDHIR SHARMA  (10 years ago)

let income of gupta is 9x RS. and verma is 4x RS.
let expenditure of gupta is 7y RS. and verma is 3y RS.

Therefore, 9x - 7y = 2000
and 4x - 3y = 2000

on solving both , we have x = 8000 and y = 10000

so, the expenditure of gupta = 70000 RS.

Is this solution Helpfull? Yes | No   

Prince Kumar Yadav  (10 years ago)

Gupta expenditure will be 70000.

Income of gupta=9x
Expenditure of Gupta = 7y

Income of Verma = 4x
Expenditure of Verma = 3y

solve this both euation to get the value of '7y'

Is this solution Helpfull? Yes | No   

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