A man invested Rs30000 in two types of bonds.On one he earns 5% and on the other he gets 75.If his total earnings are Rs2000,find his investment in each type of bonds.Pls answer this question with required steps.

earnings= amount1*.05 + amount2*.075

you know earnings. You also know that amount1 and amount2 total 30000. So you can change amount2 to read (30000-amount1). Do that, and you can solve for amount1. Then, you know automatically amount2.

Let's solve this step-by-step.

Given:
Investment in bond 1 = amount1
Investment in bond 2 = amount2
Earnings from bond 1 = amount1 * 0.05
Earnings from bond 2 = amount2 * 0.075
Total earnings = Rs 2000

We are also given that the total investment amount is Rs 30000, so we can write the equation as:
amount1 + amount2 = 30000

Now, let's substitute the values in the equation for total earnings:
amount1 * 0.05 + amount2 * 0.075 = 2000

We can rearrange the equation to solve for amount1:
0.05 * amount1 + 0.075 * amount2 = 2000
0.05 * amount1 + 0.075 * (30000 - amount1) = 2000
0.05 * amount1 + 2250 - 0.075 * amount1 = 2000
-0.025 * amount1 = 2000 - 2250
-0.025 * amount1 = -250

Now, let's solve for amount1:
amount1 = -250 / -0.025
amount1 = 10000

Therefore, the investment in bond 1 (amount1) is Rs 10000.

We can find the investment in bond 2 (amount2) by subtracting amount1 from the total investment:
amount2 = 30000 - amount1
amount2 = 30000 - 10000
amount2 = 20000

Therefore, the investment in bond 2 (amount2) is Rs 20000.

To summarize the solution:
Investment in bond 1 = Rs 10000
Investment in bond 2 = Rs 20000

Let's solve the problem step by step:

1. Let's assume the man invested Rs. x in the bond that earns 5% interest.
2. Since the total investment is Rs. 30,000, the remaining amount invested in the bond that earns 7.5% interest (75) can be expressed as (30000 - x).
3. Now let's calculate the earnings from the two types of bonds:
- The earnings from the bond that earns 5% interest would be (x * 0.05).
- The earnings from the bond that earns 7.5% interest would be ((30000 - x) * 0.075).
4. According to the given information, the total earnings are Rs. 2000. Thus, we can write the equation:
(x * 0.05) + ((30000 - x) * 0.075) = 2000.
5. To solve the equation, we need to simplify it and isolate the variable x:
0.05x + (2250 - 0.075x) = 2000.
Combine like terms: 0.05x - 0.075x = 2000 - 2250.
-0.025x = -250.
Divide both sides by -0.025: x = -250 / -0.025.
6. Finally, calculate the value of x:
x = 10,000.

Therefore, the man invested Rs. 10,000 in the bond that earns 5% interest and Rs. (30,000 - 10,000) = Rs. 20,000 in the bond that earns 7.5% interest.