Exercise

If an amount of Rs 17952 is divided equally among 37 people, how much approximate amount will each person get ?

Amount = 17952/37 = 485.189 = 485

Find the average of the following set of scores. 118, 235, 345, 405, 92

118 + 235 + 345 + 405 + 92/5 = 1195/5 = 239

Ramesh has somehens and goats. If the total number of animal heads is 68 and the total number, of legs is 214, how many hens dose Ramesh have ?

Let no. of hens = x and goats = y

Therefore, x + y = 68 ..........(i)

2x + 4y = 214 .................(ii)

(a hen has 2 legs and a goat has 4)

Solving equations (i) and (ii), x = 29

If x + y = 17 and xy = 66, what is the value of x2 + y2 ?

x + y = 17

Therefore, (x + y)^{2} = 289

Therefore, x^{2} + y^{2} = 289 - 2xy = 289 - 132 = 157

Sanjeev invests an amount of Rs 9655 @ 5 p.c. p.a. for two years. What approximate amount of compound interest will he get at the end of 2 years ?

Because, CI = P[(1 + R/100)^{t} - 1]

Therefore, CI = 9655[(1 + 5/100)^{2} -1]

Solving this, CI = 9655 x 0.1025 = 989.6 = 990

If the numerator of a fraction is increased by 200% and the denominator by 250%, the resultant fraction will be 5/7. What is the original fraction ?

Let the original fraction be x/y

Therefore, xx200/100/y x 250/100 = 5/7

or 4x/5y = 5/7

Therefore, x/y = 25/28

Sunita bought a watch at 40% discount on the selling price. If the watch costs her Rs 3414, what is the original selling price of the watch ?

Let the market price be x

(100 - 40)% = 60%

Therefore, 60% of x = 3414

Therefore, x = 3414 x 100/60 = 5690

The total number of boys in a school is 14% more than the total number of girls. What is the ratio of the total number of boys to the total of girls ?

Let the no. of girls = x

Therefore, No. of boys = 1.14x

Therefore, Ratio = 1.14x/x = 114/100 = 57/50

A train running at a speed of 35 kmh-1 crosses another train 250 m long running in the same direction. What is the speed of second train ?

Time taken by the first train to cross the second train is not given.

The price of a toy car is Rs 501 and that of a toy bus is Rs 299. Approximately what will be the price of one dozen cars and two dozen buses ?

Price = 501 x 12 + 299 x 24 = 6012 + 7176 = 13188 = 13200