The base of a triangle is 15 cm and height is 12 cm. The height of another triangle of double the area having the base 20 cm is ?
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Solution
Let height is h cm
∴
h = 18 cm
In what ratio must a grocer mix two varieties of tea worth Rs 600 a kg and Rs 650 a kg so that by selling the mixture at Rs 682 a kg he may gain 10% ?
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Solution
Cost price of mixture =
∴ Ratio = 3 : 2
A train covers a distance of 10 km in 12 minutes. If its speed is decreased by 5 km/hr, the time taken by it to cover the same distance will be :
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Solution
Speed =
∴ Required time =
4 men and 6 women can complete a work in 8 days. While 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it ?
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Solution
(4M + 6W) × 8 = (3M + 7W) × 10
32M + 48W = 30M + 70W
4M + 6W = 44W + 6W = 50W
∴ 10W × D = 50W × 8
D = 40 days
If 76 is divided into four parts proportional to 7, 5, 3, 4 then the smallest part is :
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Solution
Smallest part =
A person incurs 20% loss by selling a watch for Rs 1140. At what price should the watch be sold to earn 20% profit ?
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Solution
Selling Price =
If 35% of a number is 175, then what percent of 175 is that number ?
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Solution
Number =
∴ Required % =
10 years ago the average age of a family of 4 members was 24 years. Two children having been born (with age difference of 2 years), the present average age of the family is the same. The present age of the youngest child is :
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Solution
Sum of ages of children = 24 × 6 – 34 × 4 = 8 years
∴ Age of youngest child = 3 years.
If one – third of a tank holds 60 litres of water, then the quantity of water that half of tank holds is :
The smallest fraction, which each of , will divide exactly is :
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Solution
Number = LCM of
=