If 15 boys earn Rs 900 in 5 days how much will 20 boys earn in 7 days ? Options are (a) 180 (b) 1820 (c) 1780 (d) 1680.

Options

A. Rs . 180
B. Rs. 1820
C. Rs. 1780
D. Rs. 1680

Answer

To solve the problem step by step, we will use the concept of work and wages.

### Step 1: Understand the given information
We know that:
- 15 boys earn Rs 900 in 5 days.

### Step 2: Calculate the daily earnings of the first group
First, we need to find out how much 15 boys earn in one day.

Daily earnings of 15 boys = Total earnings / Number of days
= Rs 900 / 5 days
= Rs 180 per day.

### Step 3: Calculate the daily earnings per boy
Now, we can find out how much one boy earns in a day.

Daily earnings per boy = Daily earnings of 15 boys / Number of boys
= Rs 180 / 15 boys
= Rs 12 per boy per day.

### Step 4: Calculate the total earnings of the second group
Now, we need to find out how much 20 boys will earn in 7 days.

Total earnings of 20 boys in 7 days = Daily earnings per boy * Number of boys * Number of days
= Rs 12 * 20 boys * 7 days
= Rs 12 * 140
= Rs 1680.

### Step 5: Conclusion
Thus, the total earnings of 20 boys in 7 days will be Rs 1680.

### Final Answer
The answer is (d) Rs 1680.

---