The value of a machine is ₹7000. It decreases by 10% during the first year, 15% during the second

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24 Nov 2021 Machine

The value of a machine is ₹7000. It decreases by 10% during the first year, 15% during the second year and 20% during the third year. What will be the value of the machine after 3 years?

OPtion

1. ₹3150
2. ₹3500
3. ₹3550
4. ₹4200
5. ₹4250
6. ₹4400
7. ₹4284
8. ₹4244
9. ₹4310
10. None of the above

Solution

Here, A = 7000, x = –10, y = –15 and z = –20.
∴ Value of the machine after 3 years
= 7000 (1- 10/100)(1-15/100)(1-20/100)
= (7000 x 90 x 85 x 80)/100 x 100 x 100
= 4,28,40,00,000 / 10,00,000
= ₹4284

Correct Option: 7 Best Solution (4)