A’s salary is 40% more than B’s. If B’s salary increases by 20% and A’s increases by x%, then A’s new salary becomes 25% more than B’s new salary. What is the value of x?
A का वेतन B से 40% अधिक है। यदि B का वेतन 20% बढ़ता है और A का वेतन x% बढ़ता है, तो A का नया वेतन B के नए वेतन से 25% अधिक हो जाता है। x का मान ज्ञात कीजिए।
This Question Asked In:
SSC, CGL
Correct Answer :C - 7.14%
Detailed Text Solution
Let B's salary be 100.
Then A's salary = 140 (since 40% more).
After 20% increase, B's new salary = 100 × 1.2 = 120.
After x% increase, A's new salary = 140(1 + x/100).
Given A's new salary is 25% more than B's new salary:
So, A's new salary = 120 × 1.25 = 150.
Thus:
140(1 + x/100) = 150
1 + x/100 = 150/140
= 1.0714286
x/100 = 0.0714286
x = 7.14286% ≈ 7.14%.