Multiple choice

C and D started a venture by investing Rs. 4y and Rs. (4y – 300), respectively. After eight months, D increased his investment by Rs. 150. At the end of the year, D received Rs. 420 as his share from a total annual profit of Rs. 980. Determine the value of y.

  1. 180

  2. 210

  3. 250

  4. 280

  5. 310

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let C's investment be 4y for 12 months and D's be (4y-300) for 8 months plus (4y-150) for 4 months. The profit ratio is 420:560 (or 3:4). Solving the equation for the ratio of investments leads to y = 250.