Latest SSC Aptitude Question SOLUTION: In a mixture of three varities of pulses , the ratio of their weight is 4 : 5 : 8. If 5 kg of pulses of the first variety, 10 kg of the second variety and some quantity of pulses o

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(#M40156377) SSC Numerical Ability question Keep an EYE

In a mixture of three varities of pulses , the ratio of their weight is 4 : 5 :
8. If 5 kg of pulses of the first variety, 10 kg of the second variety and
some quantity of pulses of the third variety are added to the mixture ,
the ratio of the weights of three varieties of pulses becomes as 5 : 7 : 9 .
in the final mixture , find the quantity of third variety of pulses was : ?
(A) 42 (B) 48 (C) 40 (D) 45

Asked In SSC saurabh saraswat (8 years ago)

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Devendra Marghade  (8 years ago)

(D) 45 Kg

Let the initial quantity of the three varieties of pulses be 4x, 5x and 8x respectively, then
(4x+5)/(5x+10)=5/7 or 28x+35=25x+50, x=5
Now if 'y' kg of pulses are added to third variety, then comparing the ratio of second and third variety
(5x+10)/(8x+y)=7/9
On substituting value of x=5, (25+10)/(40+y)=7/9 or 315=280+7y ,y=5
So total quantity of third variety of pulses=8x+y=8*5+5=45

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arava mounika  (8 years ago)

observe the ratios before and after in first variety adding 5 kg increased the ratio from 4 to 5 and in second variety adding 10 kg increased the ratio from 5 to 7 so each part is 5 kg so as third ratio increased from 8 to 9 the third variety of pulses is 9*5=45kg

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