Question

88. A person spends 121% of his income on the items of daily use and
30% of the rest on house rent. Thus he has Rs. 2940 left with him. What
is his salary (in Rupees)?
(a) 4800
(b) 5200
(c) 4500
(d) 4000​

Answer 1

Answer:

His expenditure on items of daily use =

25

% of P

2

His expenditure =

25 × P

= ₹

P

200 8

So, remaining amount = P -

P

= ₹

7P

8 8

Expenditure on house rent = 30% of ₹

7P

8

Expenditure on house rent =

30

×

7P

100 8

= ₹

21P

80

Now, remaining amount =

70P - 21P

= ₹

49P

80 80

According to the question,

∴

49P

= 2940

80

⇒ P =

2940 × 80

= ₹ 4800

49

Here , p = 25 / 2 % , q = 26.25% and R = ₹ 2940

We can find the required answer with the help of given formula ,

His salary =

100 × 2940

100 -

25

+ 26.25

2

His salary =

100 × 2940

100 - (12.5 + 26.25)

His salary =

294000

= ₹ 4800

61.25

Step-by-step explanation:

so a) 4800

Answer 2

Step-by-step explanation:

Let the income of the person = x

so

daily use =

$x \times \frac{121}{100} = \frac{121x}{100}$

On rent house =

$x \times \frac{30}{100} = \frac{3x}{10}$

And now left money = 2940

Now

$\frac{121x}{100} + \frac{3x}{10} + 2940 = x \\ = > \frac{121x + 30x + 294000}{100} = x \\ = > 151x + 294000 = 100x \\ = > 151x - 100x = 294000 \\ = > 51x = 294000 \\ = > x = 5764.70$

So his income is = 5764 Rs