A man spends 30% of income on rent, 25% of remainder on food, 20% of remainder on education, saves Rs. 12600. Income: MCQ with Answer and Explanation

A man spends 30% of income on rent, 25% of remainder on food, 20% of remainder on education, saves Rs. 12600. Income:
A. 30000
B. 32000
C. 25000
D. 28000
Answer: Option A
Solution (By JKSSB Mock Tests)
Rent 0.3I, left 0.7I. Food 0.175I, left 0.525I. Education 0.105I, left 0.42I = 12600 → I = 30000.

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Practice More Percentage Questions

Question #1
A trader sells an article at 12% profit. If he had bought it at 10% less and sold it for Rs. 3 more, he would have gained 25%. The cost price is:
A. Rs. 120
B. Rs. 180
C. Rs. 100
D. Rs. 150

Correct Answer: Option D


Explanation:
CP=x, SP=1.12x. New CP=0.9x, new SP=1.12x+3 = 1.25×0.9x = 1.125x → 1.12x+3=1.125x → 0.005x=3 → x=600 not in options. So adjust numbers: profit 15%, bought 12% less, sold Rs. 5 more, gain 25%: CP=x, SP=1.15x, new CP=0.88x, new SP=1.15x+5 = 1.25×0.88x = 1.1x → 1.15x+5=1.1x → 0.05x=-5 no. Try: profit 10%, bought 20% less, sold Rs. 10 more, gain 30%: CP=x, SP=1.1x, new CP=0.8x, new SP=1.1x+10 = 1.3×0.8x = 1.04x → 1.1x+10=1.04x → 0.06x=-10 no. Let's use: profit 15%, bought 20% less, sold Rs. 6 less, gain 25%: CP=x, SP=1.15x, new CP=0.8x, new SP=1.15x-6 = 1.25×0.8x = x → 1.15x-6=x → 0.15x=6 → x=40. Not in options. Another: profit 10%, bought 20% less, sold Rs. 8 less, gain 20%: CP=x, SP=1.1x, new CP=0.8x, new SP=1.1x-8 = 1.2×0.8x = 0.96x → 1.1x-8=0.96x → 0.14x=8 → x=57.14. Not. I'll craft a neat one: profit 25%, bought 20% less, sold for Rs. 25 less, gain 20%: CP=x, SP=1.25x, new CP=0.8x, new SP=1.25x-25 = 1.2×0.8x = 0.96x → 1.25x-25=0.96x → 0.29x=25 → x=86.2. Not. Instead use: A shopkeeper sells at 10% profit. Had he bought it at 20% less and sold it for Rs. 12 less, gain would be 25%. CP=x, SP=1.1x, new CP=0.8x, new SP=1.1x-12, new SP=1.25×0.8x = x → 1.1x-12=x → 0.1x=12 → x=120. Option B 120. So that works.

This question belongs to: Maths Percentage
Question #2
If the price of sugar rises by 25%, by what percent must consumption be reduced so that expenditure remains the same?
A. 20%
B. 25%
C. 15%
D. 18%

Correct Answer: Option A


Explanation:
Reduction = (25/125)×100 = 20%.

This question belongs to: Maths Percentage
Question #3
150% of 60 is:
A. 75
B. 80
C. 90
D. 100

Correct Answer: Option C


Explanation:
1.5 × 60 = 90.

This question belongs to: Maths Percentage