# Which Amount Lent on at 8%? If

Prakash lends a part of ₹ 20,000 at 8% simple interest and remaining at 4/3 % simple interest. His total income after a year was ₹ 800. Find the sum lent at 8%.

- ₹ 8,000
- ₹12,000
- ₹6,000
- ₹10,000

**Answer: (1) Rs.8000**

**Explanation:-**

Let the amount lent at 8% rate = Rs.X.

Then, the amount lent at 4/3% rate = Rs.(20,000 – X)

According to the question,

X x 8/100 + (2000 – X ) x 4/300 = 800

8X/100 + (80,000 – 4X)/300 = 800

(24X + 80,000 – 4X)/300 = 800

20X + 80,000 = 800 x 300

20X = 240000 – 80,000

20X = 1,60,000

X = 1,60,000/20

X = 8000

Hence, the answer is (1) Rs.8000.