Crack IBPS PO : Ratio and Proportion day 3
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Ratio and Proportion
No.of Questions: 10
Time : 10 minutes
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Question 1 of 10
1. Question
1 pointsCategory: AptitudeThe ratio of salary of two persons X and Y is 7:10. If the salary of X increases by 65% and that of Y decreases by 45% then the new ratio of their salaries become 30:17. What is Y’s salary?
Correct
(d)
Ratio of salary of X and Y is 7:10
Let the original salary of X and Y be Rs.7k and Rs.10k respectively.
After increasing 65%, new salary of X = 165% of 7k = (165×7k)/100
=231k/20…(1)
After decreasing 45%, new salary of Y = (10045)% of 10k = 55% of 10k=11k/2 …(2)
Given that, new ratio is 30:17
That is,231k/20 : 11k/2 = 21/10
This does not give the value of k; so that we cannot find X’s exact salary.
Hence the answer is data inadequate.Incorrect
(d)
Ratio of salary of X and Y is 7:10
Let the original salary of X and Y be Rs.7k and Rs.10k respectively.
After increasing 65%, new salary of X = 165% of 7k = (165×7k)/100
=231k/20…(1)
After decreasing 45%, new salary of Y = (10045)% of 10k = 55% of 10k=11k/2 …(2)
Given that, new ratio is 30:17
That is,231k/20 : 11k/2 = 21/10
This does not give the value of k; so that we cannot find X’s exact salary.
Hence the answer is data inadequate. 
Question 2 of 10
2. Question
1 pointsCategory: AptitudePure ghee costs Rs.120 per kg. After adulterating it with vegetable oil costing Rs.50 per kg, a shopkeeper sells the mixture at Rs.120 per kg, thereby making a profit of 20%. In what ratio does be mix the two?
Correct
(b)
C.P. of mixture per kg = (120 ×100)/(100+20) =Rs.100
(Quantity of pure ghee)/(Quantity of vegetable oil)
= ((50100))/(100120)=50/20=5/2
= 5:2
Incorrect
(b)
C.P. of mixture per kg = (120 ×100)/(100+20) =Rs.100
(Quantity of pure ghee)/(Quantity of vegetable oil)
= ((50100))/(100120)=50/20=5/2
= 5:2

Question 3 of 10
3. Question
1 pointsCategory: AptitudeThe expenses on wheat, meat and vegetables of a family are in the ratio 12:17:3. The prices of these articles are increased by 20%, 30% and 50% respectively. The total expenses of these articles are increase by
Correct
(a)
Let expenses on wheat, meat and vegetables=12x, 17x and 3x.
Total expenses=32x.
Increased expenses=120% of 12x+130% of 17x+150% of 3x
=72x/5+221x/10+9x/2 =41x
Total increase percentage=(41x32x)/32x×100= 228/8%=28 1/8%
Incorrect
(a)
Let expenses on wheat, meat and vegetables=12x, 17x and 3x.
Total expenses=32x.
Increased expenses=120% of 12x+130% of 17x+150% of 3x
=72x/5+221x/10+9x/2 =41x
Total increase percentage=(41x32x)/32x×100= 228/8%=28 1/8%

Question 4 of 10
4. Question
1 pointsCategory: AptitudeIn 1998, ratio of the number of students taking examinations in x, y and z states respectively is 3:5:6. Next year, the numbers of students are increased by 20%, 10% and 20% respectively. If ratio of the numbers of students in states x and z is 1:2, then find the number of students who took the examination in 1998?
Correct
(c)
Let number of students in x=3k
No.of students in y=5k; No.of students in z=6k
Next year, number of students in
x=3k+20% of 3k=18k/5
No.of students in y=5k+10% of 5k=11k/2
No.of students in z=6k+20% of 6k=36k/5
According to the question,
((18k/5))/((36k/5) )=1/2
Thus, data is insufficient.
Incorrect
(c)
Let number of students in x=3k
No.of students in y=5k; No.of students in z=6k
Next year, number of students in
x=3k+20% of 3k=18k/5
No.of students in y=5k+10% of 5k=11k/2
No.of students in z=6k+20% of 6k=36k/5
According to the question,
((18k/5))/((36k/5) )=1/2
Thus, data is insufficient.

Question 5 of 10
5. Question
1 pointsCategory: AptitudeA producer of tea blends two varieties of tea from tea gardens one costing Rs.28 per kg and another Rs.30 per kg in the ratio 4:3. If he sells the blended variety at Rs.22 per kg, then his loss percentage is
Correct
(c)
Let quantities of two types of tea costing Rs.28 per kg and Rs.30 per kg be 4x kg and 3x kg, respectively.
Then CP of tea=28×4x+30×3x=202x
SP of tea=22×7x=154x
Profit per cent=(202x154x)/202x×100%=23.76%
Incorrect
(c)
Let quantities of two types of tea costing Rs.28 per kg and Rs.30 per kg be 4x kg and 3x kg, respectively.
Then CP of tea=28×4x+30×3x=202x
SP of tea=22×7x=154x
Profit per cent=(202x154x)/202x×100%=23.76%

Question 6 of 10
6. Question
1 pointsCategory: AptitudeThe rates of simple interest in two banks x and y are in the ratio of 13:11. Rajni wants to deposit his total savings in two banks in such a way that she receives equal halfyearly interest from both. She should deposit the savings in banks P and Q in the ratio of
Correct
(b)
Here R1=13x;R2=11x and T1=T2= 1/2 yr
Let the savings be P and Q rates of simple interest be 10x and 8x respectively
(P×R1×T1)/100=(Q×R2×T2)/100
P×13x×1/2×1/100=Q×11x×1/2×1/100 =>13P=11Q
P/Q=11/13
=>P:Q=11:13
Incorrect
(b)
Here R1=13x;R2=11x and T1=T2= 1/2 yr
Let the savings be P and Q rates of simple interest be 10x and 8x respectively
(P×R1×T1)/100=(Q×R2×T2)/100
P×13x×1/2×1/100=Q×11x×1/2×1/100 =>13P=11Q
P/Q=11/13
=>P:Q=11:13

Question 7 of 10
7. Question
1 pointsCategory: AptitudeWhat will be the ratio of simple interest earned by certain amount at the same rate of interest for 19 years and for 76 years
Correct
(d)
If the principal=P and interest=R%
Then, required ratio=(((P×R×19)/100))/(((P×R×76)/100) )
=19/76
=1/4
=1:4
Incorrect
(d)
If the principal=P and interest=R%
Then, required ratio=(((P×R×19)/100))/(((P×R×76)/100) )
=19/76
=1/4
=1:4

Question 8 of 10
8. Question
1 pointsCategory: AptitudeA sum of Rs.1800 was lent partly at 5% and partly at 8% per annum simple interest. The total interest received after 4 years was Rs.504. The respective ratio of the money lent at 5% total to that lent at 8% is
Correct
(a)
If the sum lent at 5%=P
Sum lent at 8%=(1800P)
Then,( P×5×4)/100+((1800P)×8×4)/100=504
12P=7200
=>P=600
Sum lent at 8%=1800600=Rs.1200
Required ratio=600:1200=1:2
Incorrect
(a)
If the sum lent at 5%=P
Sum lent at 8%=(1800P)
Then,( P×5×4)/100+((1800P)×8×4)/100=504
12P=7200
=>P=600
Sum lent at 8%=1800600=Rs.1200
Required ratio=600:1200=1:2

Question 9 of 10
9. Question
1 pointsCategory: AptitudeA sum of money is divided amongst A, B, C and D in the ratio of 12:13:15:17. If the share of D is Rs.11900, then what will be the total amount of money of A, B, and C together?
Correct
(b)
Let A^’ s share=12x;
B^’ s share=13x;
C^’ s share=15x;
D^’ s share=17x
According to the question,
17x=11900 =>x=700
Share of A, B and C=12x+13x+15x=40x
=40×700=28000
Incorrect
(b)
Let A^’ s share=12x;
B^’ s share=13x;
C^’ s share=15x;
D^’ s share=17x
According to the question,
17x=11900 =>x=700
Share of A, B and C=12x+13x+15x=40x
=40×700=28000

Question 10 of 10
10. Question
1 pointsCategory: AptitudeThe prices of a scooter and a television are in the ratio of 9:7. If a scooter costs Rs.6000 more than a television, then find out the total price of television and scooter.
Correct
(d)
Let the price of scooter=8x and price of television=7x
According to the question,
9x7x=6000 =>x=3000
The total price of television and scooter=9x+7x=16x=16×3000=48000
Incorrect
(d)
Let the price of scooter=8x and price of television=7x
According to the question,
9x7x=6000 =>x=3000
The total price of television and scooter=9x+7x=16x=16×3000=48000