If the ratio of two numbers is 1 : 5 and their product is 320, then the difference between the square of these two numbers is
1024
1256
1536
1435
C.
1536
Let the numbers be x and 5x respectively.
According to the question,
∴ Difference between the squares of these two numbers
= (5 x 8)^{2} - (8)^{2} = 1600 - 64 = 1536
x is 5 times longer than y. The percentage by which y is less than x is
50%
40%
80%
70%
C.
80%
x = 5y
∴ Required percentage
The rate of discount being given on a shirt, where selling price is Rs. 546 after deducting a discount of Rs. 109/- on its marked price is
14%
18%
15%
16%
D.
16%
Selling price = Rs. 546
Discount = Rs. 109
Marked price = Rs. (546 + 109) = Rs. 655
Now,
Let x be the discount % on M.P.
A man bought 30 defective machines for Rs. 1,000/-. He repaired and sold them at the rate of Rs. 300 per machine. He got profit of Rs. 150 per machine. How much did he spend on repairs? (in Rs)
Rs 5,500
Rs 4,500
Rs 3,500
Rs 2,500
C.
Rs 3,500
Cost of one machine =
Profit on one machine = Rs. 150
Selling price of one machine = Rs 300
Repairing cost of one machine = 300 - 150 - 33.33 = Rs. 116.67
∴ Total amount spent on repairing
= Rs. 116.67 x 30 = Rs. 3,500/-
A motor cycle gives an average of 45 km per litre. If the cost of petrol is Rs. 20 per litre. The amount required to complete journey of 540 km is (in Rs):
Rs. 120/-
Rs. 360/-
Rs. 200/-
Rs. 240/-
D.
Rs. 240/-
Amount required to complete a journey of 540 km
A sum of money amounts to Rs 6,655/- at the rate of 10% compounded annually for 3 years. The sum of money is:
Rs 5,000
Rs 5,500
Rs 6,000
Rs 6,100
A.
Rs 5,000
Number of boys and girls are 'x' and 'y' respectively; ages of a girl and a boy are 'a' years and 'b' years respectively. The average age (in years) of all boys and girls is
B.
Total age of all boys = bx
Total age of all girls = ay
∴ Average age of all boys and girls:
If of a number exceeds its by 8, then the number is:
130
120
160
150
C.
160
Let the number be x.
According to the question,
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