mahesh got an increment of 12.5 in his salary.before the increment he used to donate 3 of his salary.after his increment he continued to donate 6% of his salary.if his monthly donate was increased by 1200, find his new monthly salary.
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mahesh got an increment of 12.5 in his salary.before the increment he used to donate 3 of his salary.after his increment he continued to donate 6% of his salary.if his monthly donate was increased by 1200, his new monthly salary is Rs 36000.
Let the previous monthly salary be Rs x.
New salary i.e after 12.5% increase = x + (12.5% of x)
= 112.5x ÷ 100 = Rs (1125x ÷ 1000)
He used to donate 3% of his previous salary.
∴ Previous donation = 3% of x = Rs (3x ÷ 100) ...(1)
Now he donates 6% of his new salary = 6% of (1125x ÷ 1000)
= (6×1125x) ÷ (100×1000) = Rs (27x ÷ 40) ...(2)
It is given that the difference in the present and previous donations = Rs 1200
∴ (2) - (1) = 1200
⇒ (27x ÷ 40) - (3x ÷ 100) = 1200
⇒ 27x - 12x = 480000
⇒ x = (480000) ÷ (15) = 32000
∴ His old salary was Rs 32000.
His new monthly salary is Rs (1125x ÷ 1000) = Rs (1125×32000 ÷ 1000)
= Rs 36000.
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