Quantitative Aptitude Quiz for SBI PO | LIC AAO | IBPS | RBI – Set 96

Directions: ( 1 – 5) : The following pie chart represents the break-up of Raju’s monthly Expenses.

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1. If Raju spent Rs 4500 more on food and transport together than he spent on rent, then Find his monthly expenses.
a) Rs. 20 ,000
b) Rs. 15,000
c) Rs. 30,000
d) Rs. 40,000
e) Rs. 35,000

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Ans: c) Rs. 30,000

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. 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 (approx.)?
a) 15%
b) 25%
c) 30%
d) 17%
e) 20%

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Ans: d) 17%

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. Raju spent 20% of his expenditure on ‘others’ on entertainment. This amounted to Rs 2100. Find his expenditure on education.
a) 4,500
b) 5,000
c) 7,000
d) 6,500
e) None of these

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Ans: e) None of these

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. Find the angle made by the expenditure on rent and ‘others’ put together.
a) 150°
b) 160°
c) 180°
d) 200°
e) None of these

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Ans: c) 180°

Total expenditure on rent and others:
=15%+35%
=50%
Required angle = ( 50/100) x 360°
= 180°

5. 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?
a) 12%
b) 30%
c) 16%
d) 20%
e) None of these

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Ans: d) 20%

Decrease in expenditure on ‘others’:
=10,500−10,290= Rs 210
⇒ initial expenditure on clothes:
= 210 (100/10)
= Rs. 2100
Required percentage:
= ( 2100/10,500) x 100
= 20%

Direction(6 – 10): The following line graph gives the annual percent profit earned by a Company during the period 1995 – 2000.

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Percent Profit Earned by a Company over the Years.

%Profit = [(Income – Expenditure)/ (Expenditure)] x 100

6. If the expenditures in 1996 and 1999 are equal, then the approximate ratio of the income in 1996 and 1999 respectively is?
a) 1:1
b) 2:3
c) 13:14
d) 9:10
e) None of these

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Ans: d) 9:10

Let the expenditure in 1996 = x.
Also, let the incomes in 1996 and 1999 be I1 and I2 respectively.
Then, for the year 1996, we have:
55 =( I1 – x)/(x)*100 => I1= 155x/100 — (1)
70 = ( I2 – x )/(x) * 100 => I2 = 170x/100 —– (2)
From (i) and (ii), we get:
I1 /II2 = 155/170 ≅ 0.91/1 ≅ 9/10

7. If the income in 1998 was Rs. 264 crores, what was the expenditure in 1998?
a) Rs. 104 crores
b) Rs. 145 crores
c) Rs. 160 crores
d) Rs. 185 crores
e) None of these

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Ans: c) Rs. 160 crores

Let the expenditure is 1998 be Rs. x crores.
Then, [65 =( 264 –x)/ x] * 100
x = 160
Expenditure in 1998 = Rs. 160 crores

8. In which year is the expenditure minimum?
a) 2000
b) 1997
c) 1996
d) Cannot be determined
e) None of these

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Ans: d) Cannot be determined

9. If the profit in 1999 was Rs. 4 crores, what was the profit in 2000?
a) Rs. 4.2 crores
b) Rs. 6.2 crores
c) Rs. 6.8 crores
d) Cannot be determined
e) None of these

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Ans: d) Cannot be determined

10. What is the average profit earned for the given years?
a) 50 2/3
b) 55 5/6
c) 60 1/6
d) 33 5/3
e) None of these

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Ans: b) 55 5/6

Average percent profit earned for the given years

= (1/6) x [40 + 55 + 45 + 65 + 70 + 60] = 55 5/6