-
A man purchased some eggs at the rate of Rs. 10 per dozen and again purchased (3 / 4) of them at the rate of Rs. 12 per dozen. Then he sold all eggs at the rate of Rs. 13 per dozen and made a profit of Rs. 30. Find the total number of eggs he purchased altogether.
-
- 8 dozens
- 9 dozens
- 10 dozens
- None of these
Correct Option: A
Let the total number of eggs be y dozens.
| ∴ Total C.P = Rs. |  | 10y + | 3 | y × 12 |  | |
| 4 |
| Total C.P = Rs. | | 40y + 36y | | |||
| 4 |
| Total C.P = Rs. | = Rs. 19y | 4 |
| Total S.P. = | | y + | 3 | y | | × 13 |
| 4 |
| Total S.P = | = Rs. | 4 | 4 |
| ∴ | - 19y = 30 | 4 |
⇒ 91y – 76y = 30 × 4
⇒ 15y = 30 × 4
| ∴ y = | = 8 dozens. | 15 |
Hence , the total number of eggs be 8 dozens.
