By selling an article for Rs 96, a shopkeeper bears a loss of 12%. If shopkeeper sells that article for Rs 132, then the profit percent is :
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Solution
Cost price =
∴ % Profit =
The simple interest and compound interest on a certain sum for 2 years are Rs. 700 and 770 respectively. Find the rate of interest :
A train travels from Delhi to Jaipur at a speed of 30 km/hr and returns with a speed of 50 km/hr. The average speed of train for whole journey is :
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Solution
Average speed = km/hr.
A reduction of 25% in the price of apples enables a man to buy 15 kg more apples for Rs 2520. What is the new price of apples ?
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Solution
New price = Rs/kg
The maximum value of 8 sin2θ + 6 cos2θ is :
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Solution
For maximum value put θ = 90°
If the ratio of heights and radii of two cones are respectively 2 : 7 and 4 : 3, the ratio of their volumes is :
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Solution
Ratio of volumes =
The number of sides in a regular polygon is 16. The value of its each interior angle is :
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Solution
Each interior angle =
In a mixture of 90 litres, the ratio of milk and water is 4 : 1. How much water should be added to the mixture so that the ratio of milk and water becomes 6 : 4 ?
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Solution
Milk in mixture = lit.
∴ 72 : W : : 6 : 4
W = lit.
∴ Added water = 48 – 18 = 30 lit.
Two pipes, A and B can fill a tank in 16 and 20 minutes respectively. If both are opened together and at the end of 4 minutes A pipe is closed, how long will the pipe B take to fill the remaining part of the tank ?
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Solution
Work done in 4 minutes by both = 4 × (4 + 5) = 36 unit
∴ Time required to B fill the remaining tank =
The value of (22 + 42 + 62 + …. + 342) is :
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Solution
22 + 42 + 62 + .... + 342 = 22 (12 + 22 +32 + ..... + 172)
=
= 7140