Question : If a sum of Rs. 1,170 was distributed among A, B, and C in the ratio 2 : 3 : 4, by mistake, in place of $\frac{1}{2}:\frac{1}{3}:\frac{1}{4}$, who was benefited most and by how much?
Option 1: B, Rs. 220
Option 2: C, Rs. 250
Option 3: B, Rs.270
Option 4: A, Rs. 280
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
Correct Answer: C, Rs. 250
Solution :
The amount each person received when the sum was mistakenly distributed in the ratio = 2 : 3 : 4
The total parts in the ratio = 2 + 3 + 4 = 9
The amount each person should have received if the sum was correctly distributed in the ratio = $\frac{1}{2}: \frac{1}{3}: \frac{1}{4}$
The amount each person should have received if the sum was correctly distributed in the ratio = 6 : 4 : 3
The total parts in the ratio = 6 + 4 + 3 = 13
On comparing the ratios,
C benefited the most.
Gain = $( \frac{4}{9}- \frac{3}{13}) \times1170$
Gain = Rs. 250
Hence, the correct answer is C, Rs. 250.
Related Questions
Know More about
Staff Selection Commission Combined Grad ...
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Get Updates BrochureYour Staff Selection Commission Combined Graduate Level Exam brochure has been successfully mailed to your registered email id “”.