Exercise

What approximate value should come in place of the question mark (?) in the following equations

35208 - 186 x (18)^{3} = ?

? = 35208x18x18x18/186

= 1103941.161 = 1103941

Raj invest Rs. 4560, Which is 35% of his monthly income, in insurance policies. What is his monthly income?

Let his monthly income be x.

Therefore, xx35/100 = 4560

Therefore, x = 4560x100/35 = 13028.57

If (182)^{2} is added to the square of a number, the answer so obtained is 47765. What is the number ?

Let the no. be x

Therefore x^{2} + (182)^{2} = 47765

Therefore x^{2} = 47765 - (182)^{2} = 47765 - 33124

Therefore x^{2} = 14641, Therefore x = 121

What would be simple interest obtained on an amount of Rs 7224 at the rate of 18% p.a. after 6 years ?

SI = 7224x18x6/100 = 7801.92

= Rs 7801.92

A van covers a distance of 636 km in 16 hours. How much distance will it cover in 12 hours?

Speed of van = 636/16 = 39.75 kmh-1

Therefore, Distance in 12 hrs = 12 x 39.75 = 477 km.

What is 122% of 482 times of 183 ?

12 1/2% of [482 x 183]

= 12 1/2% of 88206 = 25/2x88206/100 = 88206/8

= 11025.75

Ravi purchases 72 items at Rs 40 per item. He spends Rs 80 on transporting of those goods.What should be the selling price of the items if he has to gain 30% as profit?

SP = (100+gain%/100) x CP

Here, CP = 72 x 40 + 80 = 2960

Therefore SP = (100+30/100) x 2960 = 130/100 x 2960

= Rs. 3848

The difference between 68% of a number and 35% of the same number is 1216. What is 28% of the number ?

Therefore 68x/100 - 35x/100 = 1216 Therefore x = 1216x100/33

Therefore 28% of x = 28x/100 = 1216x100/33 x 28/100

= 1216x100x28/33 x 1/100 = 1031.75

If the fraction 8/6, 7/5, 18/13, 9/5 and 7/11 are arranged in descending order of their values, which one will be the second ?

8/6 = 1. 333, 7/5 = 1.4, 18/13 = 1.384

9/5 = 1.8 and 7/11 = 0.636

Therefore, Descending order is 9/5 > 7/5 > 18/13 > 8/6 > 7/11

Therefore Second fraction is 7/5

What should come in place of (?) in the following series ?

10, 19, 30, 43, 58, ?

The series is: +9, +11, +13, +15, +17