# Pie Chart 36

Directions: ( 1 – 5) : The following pie chart represents the break-up of Raju’s monthly Expenses. Q1. If Raju spent Rs 4500 more on food and transport together than he spent on rent, then Find his monthly expenses.

(1) Rs. 20 ,000

(2) Rs. 15,000

(3) Rs. 30,000

(4) Rs. 40,000

(5) Rs. 35,000

Q2. If Raju increased his savings, which is currently 10% of his income, by 20% and reduced his expenses by 20%, then his savings would be what percentage of his expenses?

(1) 15%

(2) 25%

(3) 30%

(4) 10%

(5) 20%

Q3. Raju spent 20% of his expenditure on ‘others’ on entertainment. This amounted to Rs 2100. Find his expenditure on education.

(1) 4,500

(2) 5,000

(3) 7,000

(4) 6,500

(5) None of these

Q4. Find the angle made by the expenditure on rent and ‘others’ put together.

(1) 1500

(2) 1600

(3) 1800

(4) 2000

(5) None of these

Q5. As prices dropped, Raju’s expenditure on clothes dropped by 10%. As a result of this, his expenditure on ‘others’ decreased from Rs 10,500 to Rs 10,290.What percentage of his expenditure on ‘others’ was spent on clothes?

(1) 12%

(2) 30%

(3) 16%

(4) 20%

(5) None of these

1. Percentage of his expenditure spent on rent =15%
Percentage of his expenditure spent on transport and food =30%

⇒ 30%−15%=15% = Rs 4500

Monthly expenses:

= 100%  = ( 100/15) X 4500

= Rs. 30,000

2. Let his monthly income be Rs x.

Original savings = Rs. ( 10/100)x

New Savings = ( 10/100)x + 20/100(10x/100)

= Rs. ( 12/100)x

Original expenditure = x – (10/100)x

= Rs. ( 90/100)x

New expenditure :

= (90/100)x – (20/100) ( 90x/100)

= Rs. ( 72/100)x

Required  percentage :

[(12x/100)/(72x/100)] x 100

= 16.66%

3. Expenditure on entertainment:
=20%of(35% of others)=7% of the total expenses
⇒ 2100=7% of total expenses

Also education accounts for 20% of the total expenses.

⇒ Expenditure on education:

= 20% of the total= Rs [ 2100 x ( 20/7)]

= Rs. 6,000

4. Total expenditure on rent and others:
=15%+35%
=50%

Required angle = ( 50/100) x 3600

= 1800

5. Decrease in expenditure on ‘others’:
=10,500−10,290= Rs 210
⇒ initial expenditure on clothes:

= 210 (100/10)

= Rs. 2100

ð  Required percentage:

= ( 2100/10,500) x 100

= 20%