Question

Investments made by A, B and C in a craft business is Rs.47,000. If A invest Rs.7,000 more than B and B invest Rs.5,000 more than C, then find the amount C gets out of the total profit Rs.4700.

• A. Rs.3000
• B. Rs.1000
• C. Rs.5000
• D. Rs.2000

Answer 1

Answer:

B. Rs.1000

Given:

Investment of A, B and C together = Rs. 47,000

Investment of A = Investment of B + Rs. 7,000 

Investment of B = Investment of C + Rs. 5,000

Total profit of A, B and C together = Rs. 4700

Concept used:

Profit = ${Amount}\times{Time}$

Calculation:

Let the investment of C be x.

B's investment = x + 5000

A's investment = x + 5000 + 7000

(A + B + C)'s  investment = 47000 

⇒ x + x + 5000 + x + 5000 + 7000 = 47000

⇒ 3x + 17000 = 47000

⇒ 3x = 47000 – 17000

⇒ 3x = 30000

$⇒x=\frac{30000}{3}$

⇒ x = 10000

A's investment = 10000 + 12000 = 22000

B's investment = 10000 + 5000 = 15000

C's investment = 10000

Ratio of investment of A, B and C = 22000 : 15000 : 10000

⇒ 22 : 15 : 10

Share of C = $\frac{10}{47}\times{4700}$

⇒ 10$\times$100

⇒ 1000

∴ The correct answer is Rs 1000 which is the share of C.