A B and C invested Rs 40 000 Rs 48 000 and Rs 80 000 respectively for a business at the start of a y...........

Quantitative Aptitude (CGL) Partnership

A, B and C invested Rs 40,000, Rs. 48,000 and Rs 80,000, respectively, for a business at the start of a year. After six months, for the remaining time of the year. A added Rs4,000, B added Rs4,000 while C withdrew Rs4,000 every month. If the total profit is Rs6,72,000, then what is C's share (in Rs)?

This questions was previously asked in

SSC CGL 12th April 2022 Shift-3

View All ssc Previous Year Papers

1,96,750

1,80,480

2,11,200

2,80,320

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Explanation:

Correct Option is 4- 280320

A, B, and C invested Rs. 40000, Rs.48000, and Rs. 80000, respectively
The total profit = Rs. 672000
Solution
After six months, for the remaining time of the year, A added 4000, B added 4000 and C withdrew *4000 every month.
So, (4000 x 6) + (4000 x 5) + (4000x4) + (4000 x 3) + (4000 x 2) + (4000 x 1) = 4000 x 21 = 84000
A: B: C = [(40000 x 12) + 84000]: [(48000 x 12) + 84000]: [(8000012) - 84000]
= (480000 + 84000): (576000+ 84000): (960000 - 84000)
= 564000: 660000: 876000
= 564: 660: 876
The share of C = [876/(564 + 660 +876)] × 672000
= (876/2100) x 672000
= 280320
C's share is 280320