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Answer

 M = S+3.

s = 4k

M+S+K = 30 => 4K+3+4k+k = 30=> 9k = 30-3=27 => k = 3.

S = 4k = 12 years.

Answer

B in 1 hour = (1/10)

F in 1 hour = (1/15 )

3 pipes together in 1 hour = (1/30).    So, 1/10 + 1/15 - x = 1/30; x = 4/30.

so in 1 hour x can do 4/30. so total time needed by x alone to empty the tank is 30/4 = 7hrs 30 mins.

Answer

Total of 15 = 15 x 29 = 435yrs. Now, total age of those 2 persons = 55 x 2 = 110yrs. total age of remaining person

= 435 - 110 = 325 yrs. so, now average will be = 325 / 13 = 25yrs.

Answer

Let, CP of 12 pens  = SP of 15 pens = x.

so, CP of 1 pen = x/12. so,  CP of 15 pens = 15x/12 = 5x/4. As, 5x/4 > x, so, there will be loss.

Loss% = [{(5x/4)-x) / 5x/4] x 100 = 1/5 x100 = 20%.

Answer

Two successive discounts, so, total discount will be = (-20) + (-10) + [( -20 x -10)/100] = -28%. 

so, net discount will be 28% and (100 - 28) 72% will be net SP. So, Selling Price will be = (72/100) x 800 = 576Rs. and discount will be = 800 - 576 = 224Rs.

Answer

16.67% = 1/6  and 12.5% = 1/8. 

Now, by selling at 91, person gains 16.67%, so, let, CP = x and x(1+(1/6)) = 91, x = 78. On second, he loses 12.5%. so, let, CP = y and y(1-(1/8)) = 91, y = 104. so, total CP = 78 + 104 = 182 and total SP = 91 x 2= 182. So, No profit and no loss.

Answer

Ava can do in 20 days. So, 1 day work = 1/20.

Seva can do the same in 16 days. So, 1 day Work = 1/16.

Ratio of their Efficiency is 1/20 : 1/16 = 4 : 5.. So, Ava's efficiency is 4 and Seva's Efiiciency is 5.

Answer

A's part = 3/7  and B's part =  4/7. Now 3/7 th part = 36 => total number = 36 X (7/3) = 84.

Answer

In A : Alcohol = 4x/7 and water = 3x/7.  

In B : Alcohol = 2y/5 and water = 3y/5.

After mixing, there is half alcohol and half water. So, ratio will be 1:1.

So,  4x/7 + 2y/5 = 3x/7 + 3y/5 => 20x + 14y = 15x + 21y => 5x = 7y => x : y = 7 : 5.

Answer

Successive discount of 14% and 7%. So. Net discount  = - 14 - 7 + (-14 x -7)/100 = - 21 + 0.98 = - 20.02%

20.02% of 350=70.07. So, 350-70.07=279.93Rs will be the selling price.