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If 75% of x is 15 less than 15% of 1500, then the value of x is:
280
150
300
120
280
Calculate 15% of 1500 as 15×15=225. Subtract 15 to get 210. Since 75% is 3/4, equate 3/4x=210, so x=210×4/3=70×4=280.
75% of x = 15 less than 15% of 1500
0.75x=(0.15×1500)−15
Calculate 15% of 1500 as 15×15=225. Subtract 15 to get 210. Since 75% is 3/4, equate 3/4x=210, so x=210×4/3=70×4=280.
Students often misinterpret '15 less than' as 15−(15% of 1500) instead of the correct (15% of 1500)−15.
Calculate 15% of 1500
First, find the value of 15% of 1500: 0.15×1500=15×15=225.
0.15×1500=225
Apply the '15 less than' condition
Subtract 15 from the result obtained in the previous step: 225−15=210.
225−15=210
Set up the equation for x
We are given that 75% of x equals 210. Convert 75% to 0.75 or 3/4.
0.75x=210
Solve for x
Divide 210 by 0.75 (or multiply by 4/3): x=210/0.75=210×(4/3)=70×4=280.
x=0.75210=280
A is correct because the calculation 0.75x=210 results in x=280.
This type of percentage word problem is common in RRB and SSC exams; always break the sentence into mathematical operations sequentially to avoid order-of-operation errors.
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