Vijay invested Rs.50,000 partly at 10% and partly at 15%. His total income…
2024
Vijay invested Rs.50,000 partly at 10% and partly at 15%. His total income after a year was Rs.7000. How much did he invest at the rate of 10%?
- A.
None of these
- B.
Rs. 20000 at 10%
- C.
Rs. 10000 at 10%
- D.
Rs. 5000 at 10%
Attempted by 32 students.
Show answer & explanation
Correct answer: C
Let x be the amount invested at 10%.
Then the amount invested at 15% is 50,000 − x.
Form the interest equation for one year:
0.10×x + 0.15×(50,000 − x) = 7,000
Expand: 0.10x + 7,500 − 0.15x = 7,000
Combine like terms: −0.05x + 7,500 = 7,000
Solve: −0.05x = −500 ⇒ x = 10,000
Answer: Rs. 10,000 is invested at 10%.