Question
If 25 is added to the numerator of a fraction and its
denominator is multiplied by 10, the value of the fraction increases by 35%. What is the numerator of the original fraction?Solution
Let the original fraction be = x/y According to the question, (x + 25)/(y x 10) = (x/y) x (135/100) (x + 25)/10y = (27x/20y) Or, 270xy = 20xy + 500y Or, 250xy = 500y Or, x = 2 So, numerator of the original fraction = 2
- What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.) 
- 24.45% of 14.99% of 14999.78 + 159.80 = ?% of 1999.78 
- 15.78% of (287 + 302) + 12³ = ?% of 170 + 8 × 14 + 3² 
- ? = 65.78² ÷ (5.01⁵ + 7.02 × 33.33) + 33.33% of (290.88 × 23.09) 
- What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.) 
- 1784.04 - 483.98 + 464.98 ÷ 15.06 = ?3 
- ? = 54.89 × 270.08 ÷ 135.17 + 464.35 ÷ 29.03 
- 233.98 + 73 × √35.95 - ? = 275.94 ÷ 3.99