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Ram left 1/3 of his property to his widow and 3/5 of the remainder to his daughter. He gave the rest to his son who received Rs. 6,400. How much was his original property worth ?
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- ₹ 16, 000
- ₹ 32, 000
- ₹ 24, 000
- ₹ 1, 600
Correct Option: C
The original property with Ram = ₹ x (let)
∴ Wife’s share = Rs. | |
3 |
Remaining property
= x − | = ₹ | ||
3 | 3 |
Daughter’s share = | × | = ₹ | |||
3 | 5 | 5 |
Son’s share = | − | ||
3 | 5 |
= | = ₹ | ||
15 | 15 |
∴ | = 6400 | |
15 |
⇒ 4x = 6400 × 15
⇒ x = | = ₹ 24000 | |
4 |