(solved)Question 19 SSC-CGL 2020 March 3 Shift 1

In a class of 640 the ratio of boys to girls is 5 : 3. If the number of girls is increased by 30, how should the strength of boys be changed so that the new ratio is 14 : 9?
(Rev. 31-Oct-2024)

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Parveen,

Question 19
SSC-CGL 2020 Mar 3 Shift 1

In a class of 640 the ratio of boys to girls is 5 : 3. If the number of girls is increased by 30, how should the strength of boys be changed so that the new ratio is 14 : 9?

Solution in Brief

Boys = 55+3×640=400\displaystyle \frac {5}{5 + 3} \times 640 = 400

Girls = 640400=240\displaystyle 640 - 400 = 240

New total girls =240+30=270\displaystyle = 240 + 30 = 270

new ratio New total boysNew total girls=149\displaystyle \frac{\text{New total boys}}{\text{New total girls}} = \frac{14}{9}

\displaystyle \therefore new total boys = 149×270=420\displaystyle \frac{14}{9} \times 270 = 420

\displaystyle \therefore increase 420400=20Ans\displaystyle 420 - 400 = 20\:\underline{Ans}

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