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From the salary of an officer 10% is deducted as house rent; 15% of the rest he spends on children’s education; 10% of the balance he spends on clothes. After this expenditure, he is left with ₹ 2754. Find his salary.
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- ₹ 4500
- ₹ 4000
- ₹ 4200
- None of these
Correct Option: B
Let the salary be ₹100. Then,
House rent = ₹10; Balance = ₹(100 – 10) = ₹90.
Expenditure on children’s education = 15% of ₹90
= | = ₹ | |||
100 | 2 |
Balance now = | ![]() | 90 - | ![]() | 2 |
= | ![]() | ![]() | = ₹ | 2 | 2 |
Expenditure on clothes
= | ![]() | 10% of | ![]() | = ₹ | 2 | 20 |
Now, balance
= | ![]() | - | ![]() | = ₹ | 2 | 20 | 20 |
If last balance is ₹ | . then salary = ₹100. | 20 |
If last balance is ₹ 2754, then salary
= ₹ | ![]() | × 2754 | ![]() | = ₹ 4000. | 1377 |