A number, on subtracting 24 from it, reduces to 60% of itself. What is 85% of the number?
1. 62
2. 51
3. 76
4. 85
1. 62
2. 51
3. 76
4. 85
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Correct Answer – Option 2 : 51
GIven:
A number, on subtracting 24 from it, reduces to 60% of itself
Calculation:
If the number be x, then
x – 24 = 60% of x
⇒ x – 24 = 60x/100
⇒ x – 24 = 3x/5
⇒ 5x – 120 = 3x
⇒ 2x = 120
⇒ x = 60
85% of x = (85/100) × 60 = 51
∴ 85% of the number is 51