A, B and C started a business with investments of INR 4200/-, INR 3600/- and INR 2400/- respectively. After 4 months from the start of the business, A invested INR 1000/-more. After 6 months from the start of the business, B and C invested additional amounts in the respective ratio of 1:2. If at the end of 10 months they received a profit of INR 2820/- and A’s share in the profit was INR 1200/-, what was the additional amount that B invested
INR 800/- INR 200/-, INR 500/- INR 600/- INR 400/- Explanation: Let the additional amount invested by B and C
be x and 2x respectively.
Ratio of the investments of A, B, and C
=(4200×4+5200×6)
:[3600×6+(3600+x)×4]
:[2400×6+(2400+2x)×4]
=(16800+31200):(21600+14400+4x)
:(14400+9600+8x)
=48000:36000+4x:24000+8x
Rational addition = 108000+12x
According to question,
48000/108000+12x×2820=1200
108000+12x=2820×40
12x=112800-108000
12x=4800
x=INR 400/-
