**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) 150^{0}

(2) 160^{0}

(3) 180^{0}

(4) 200^{0}

(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

Answer & Explanation

**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 360^{0}

**= 180 ^{0}**

**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%**