Question

Suppose, C1, C2, C3, C4, and C5 are five companies. The profits made by C1, C2, and C3 are in the ratio 9 : 10 : 8 while the profits made by C2, C4, and C5 are in the ratio 18 : 19 : 20. If C5 has made a profit of Rs 19 crore more than C1, then the total profit (in Rs) made by all five companies is
1. 438 crore
2. 435 crore
3. 348 crore
4. 345 crore

Answer 1

Correct Answer - Option 1 : 438 crore

Calculation:

⇒ Let us assume profit of C₁, C₂, and C₃ is 9x, 10x, and 8x respectively and C₂, C₄ and C₅ is 18y, 19y, and 20y respectively.

⇒ 10x = 18y (both are C₂) ..... (1)

⇒ C₅ - C₁ = 19

⇒ 20y - 9x = 19 ...... (2)

⇒ By solving both equation x = 9 and y = 5.

⇒ Total profit = 9x + 10x + 8x + 19y + 20y = 27x + 39y = (27 × 9) + (39 × 5) = 438 crores

∴ The required result will be 438 crores.