The sum of two numbers is 520. If the bigger number is decreased by 4% and the smaller number is increased by 12% then the numbers obtained are equal. The smaller number is :
A. 280
B. 240
C. 210
D. 300
Answer: Option B
Solution(By Examveda Team)
Let the bigger number is a and the smaller number is (520 - a)According to the question,
a × $$\frac{(100 - 4)}{100}$$ = (520 - a) × $$\frac{(100 + 12)}{100}$$
$$\frac{96a}{100}$$ = (520 - a) $$\frac{112}{100}$$
96a = (520 - a) 112
13a = 3640
a = 280
Hence, bigger number = 280
Smaller number = (520 - 280) = 240
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Comments ( 1 )
Related Questions on Percentage
A. $$\frac{1}{4}$$
B. $$\frac{1}{3}$$
C. $$\frac{1}{2}$$
D. $$\frac{2}{3}$$
Explain the 36a=3640