Weights of two friends Ram and Shyam are in the ratio 4 : 5. If Ram's weight is increased by 10% and total weight of Ram and Shyam become 82.8 kg, with an increases of 15%. By what percent did the weight of Shyam has to be increased?
A. 19%
B. 10%
C. 21%
D. 16%
Answer: Option A
Solution(By Examveda Team)
Now, given ratio of Ram and Shayam's weight = 4 : 5 Hence, $$\frac{{x - 15}}{{15 - 10}} = \frac{4}{5}$$ Or, x = 19%
This Question Belongs to Arithmetic Ability >> Alligation
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Comments ( 6 )
Related Questions on Alligation
A. $$\frac{{1}}{{2}}$$ kg
B. $$\frac{{1}}{{8}}$$ kg
C. $$\frac{{3}}{{14}}$$ kg
D. $$\frac{{7}}{{9}}$$ kg
A. 81 litres
B. 71 litres
C. 56 litres
D. 50 litres
x-15 = 4/5 ×5
x = 4 + 15
x = 19%
Actuall procedure
Actual weight of both ram and shaym
Is x+(15/100)*x=82.8
X=72 kg
Weight ratio both of them is 4:5
So initial weight of shyam is
5/9)*72=40kg
Initial weight of ram
Is 4/9)*72= 32 kg
Ram increased by 10 % it means
32+32*(10/100)=35.2
So 15 % increased weight of both of them is 82.8
So syams new weight is 82.8-35.2=47.6
Now shyam increase by x %?
Initial weight of shyam is 40kg
40+40*(x%)=47.6
40*x%=47.6-40
X%=7.6/40=.19
So in percent *100 is equal to 19%
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I couldn't understand this concept. Please explain
4*10%+5*x%=9*15%
X=19%
I'm sorry. by calculating the equation I have got 11%. how it could be 19% sir?
I able to solve by using different method but it is shortest and I always forget this method to use in question. Now I prefer this method. THANKYOU SIR