Question

7. Veer starts a business with some amount and after six
months Ayush joined him with Rs. 30000. If Veer earn
an annual profit of Rs. 18000 out of total profit of Rs.
33000, then find amount invested by Veer?
(a) 12000 Rs.
(b) 16000 Rs.
(c) 24000 Rs.
(d) 18000 Rs.
(c) 20000 Rs.

Answer 1

Answer:

Let Veer invested be ₹x for 12 months

In respect of 1 month, Veer's investment

= ₹(x×12)

= ₹12x

Ayush invested ₹30000 for (12-6) = 6 months

In respect of 1 month, Ayush's investment

= ₹ (30000×6)

= ₹180000

Ratio of their investment = 12x : 180000

= x : 15000

Sum of their ratio = (x+15000)

Total profit = ₹33000 (given)

A.T.Q,

Veer's Profit = 18000

or, x/(x+15000) × 33000 = 18000

or, 33000x/(x+15000) = 18000

or, 33000x = 18000 × (x+15000)

or, 33000x = 18000x + 18000×15000

or, 33000x - 18000x = 18000×15000

or, 15000x = 18000×15000

or, x = 18000×15000/15000

or, x = 18000

Answer :- The amount invested by Veer is ₹ 18000.