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40% of (100 – 20% of 300) is equal to
40% of (100 – 20% of 300)
40% of (100 - 60) ---> 16
By equating the powers;
3 – 6 = 2x – 1
2x = - 2
x = -1
A can do a piece of work in 15 days and B can do it 22½ days. They worked together for 6 days and the remaining work was completed by C alone in 6 days. A, B and C together will do the same work in:
A can do a piece of work in 15 days and B can do it 22½ days.
Hence, Total work = 45 unit
Efficiency of A = 3 unit
Efficiency of B = 2 unit
A and B worked together for 6 days.
The ratio of present ages of Rahul and his sister is 3 : 4. Before 10 years the ratio of their ages was 13 : 19. What is Rahul’s present age (in years)?
Let the present age of Rahul=3x
Let the present age of his sister=4x
As per questions
57x-190=52x-130
5x=60
X=12
Rahul present age=3x=36
What sum of money will amount to Rs. 724 in 4 years and to Rs. 870 in 6 years at simple interest?
Simple Interest for 2 years = Rs. (870 - 724) = Rs. 146 So, the Interest for 4 years = 146×2 = Rs. 292 Principal = Amount - Interest
=(724 - 292 ) = Rs. 432
A bus leaves the station 1 hour before the scheduled time. the driver decrease its speed by 2 km/hour. At the next station 60km away the bus reached at right time. Find the original speed of the bus?
By increasing speed by 2 km/hour the time reduced by 1 hour.
10 × 6 = 60 and 12 × 5 = 60
10 new speed
12 old speed
5 old time
6 new time
The price that Kamal should mark on a chair which costs him ₹1500 to gain 15% after allowing a discount of 25% (in ₹) is:
CP= ₹1500 and gain%= 15%
∴ SP = CP(100+gain)/100 ⇒ SP = 1500×(100+15)/100 = ₹1725
Since, SP= MP (100-d)/100; where d= %discount
⇒ 1725= MP (100-25)/100
⇒ MP =172500/75 = ₹2300
The mean of 20 numbers is 40, if 10 is subtracted from every number what will be the new mean.
Mean of 20 number = 40
Sum of numbers = 40 × 20
= 800
According to question
10 is subtracted from each number then the total sum subtracted
= 10 × 20
= 200
New sum = 800 - 200
= 600
The ratio of incomes of A and B is 3 : 8 and the ratio of their savings is 9 : 25. If the income of A equals the expenditure of B, then the ratio of expenditure of A and B is:
Ratio of incomes of A and B is 3 : 8
Let income of A = 3x
Income of B = 8x
Also, Ratio of savings of A and B is 9 : 25
Saving of A = 9y
Saving of B = 25y
⇒ Expenditure = Income - Saving
Expenditure of A = 3x-9y…………..(1)
Expenditure of B = 8x-25y…………..(2)
If the income of A equals the expenditure of B then
3x = 8x – 25y
⇒ 25y = 5x
⇒ x= 5y …………(3)
Expenditure of A = 3x-9y = 6y………………(4)
Expenditure of B = 8x-25y = 15y……………..(5)
Ratio of expenditure of A and B = 6y:15y = 2:5
Hence, the required answer is 25
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