Percentage MCQs

Explanation:
0.75×1.25 = 0.9375, loss 6.25%.

Explanation:
Milk=60 L, water=20 L. For 1:1, water=60 L, add 40 L.

Explanation:
20 = 0.4x + 8 → 0.4x = 12 → x = 30.

Explanation:
x - 0.6x = 0.4x = 300 → x = 750, 20% = 150.

Explanation:
1 - x²/10000 = 0.91 → x² = 900 → x = 30.

Explanation:
Let B inc=100, A=125. A sav=25, A exp=100. B exp=0.6×100=60, B sav=100-60=40, i.e. 40%.

Explanation:
Correct = (3/4)x, wrong = (4/3)x. % error = [(4/3 - 3/4)/(3/4)]×100 = (7/9)×100 ≈ 77.78%.

Explanation:
Failed Eng=30%, Maths=35%. Passed both = 100 - (30+35-15) = 50%. 50% of total = 300 → total = 600.

Explanation:
Let n articles, CP each=1500/n. Sold (n-5) at (1500/n +3). SP = (n-5)(1500/n +3)=1575. Solving gives n=75.

Explanation:
Profit = (100/900)×100 = 11.11%.

Explanation:
CP=x, SP=1.2x. New CP=0.8x, new SP=1.2x-10 = 1.25×0.8x = x → 1.2x-10=x → 0.2x=10 → x=50.

Explanation:
Wife 30%, left 70%. Son 14% of total (20% of 70), left 56%. Daughter 25% of 56=14%, left 42% = 8400 → total=20000.

Explanation:
1.18CP - 0.94CP = 0.24CP = 144 → CP = 600.

Explanation:
Rent 0.25I, left 0.75I. Food 0.15I, left 0.6I. Education 0.09I, left 0.51I = 15300 → I=30000.

Explanation:
1.25 × x = 1.12 → x = 1.12/1.25 = 0.896, reduction 10.4%.

Explanation:
A=1.35B, B=0.75C → A=1.0125C → C=162/1.0125=160.

Explanation:
0.5F + S = 1.4S → 0.5F = 0.4S → F/S = 0.4/0.5 = 4/5.

Explanation:
CP=x, SP=1.12x. New CP=0.88x, new SP=1.12x+12, new SP=1.25×0.88x=1.1x. So 1.12x+12=1.1x → 0.02x= -12 impossible. So adjust: let SP at 15% profit, bought at 10% less, sold for Rs. 15 more, gain 20%. CP=x, SP=1.15x. New CP=0.9x, new SP=1.15x+15=1.2×0.9x=1.08x → 1.15x+15=1.08x → 0.07x= -15 no. Need right: gain more when bought cheaper and sold higher. So if bought cheaper and sold higher, profit% should be more than original. So CP=x, SP=1.1x (10% profit). Bought at 20% less (0.8x), sold for Rs. 10 more (1.1x+10), gain 30% → 1.1x+10 = 1.3×0.8x = 1.04x → 0.06x= -10 no. Let original profit 10%, CP=x, SP=1.1x. Bought at 20% less (0.8x), sold for Rs. 20 more (1.1x+20), gain 30% → 1.1x+20=1.04x → negative. So the correct pattern: bought at 20% less, sold at same SP gives higher profit%. To get gain 25% on new CP, new SP = 1.25×0.8x = x. But original SP is higher. So if original SP is 1.1x, and new SP is x, then it's less, so sold for less. So phrase: if sold for Rs. 10 less. So: CP=x, SP=1.1x. Bought at 20% less (0.8x), sold for Rs. 10 less (1.1x-10), gain 25% → 1.1x-10 = 1.25×0.8x = x → 0.1x=10 → x=100. So CP=100. I'll use: sells at 10% profit, if bought 20% less, sold for Rs.10 less, gain 25%. CP=100. Good.

Explanation:
CP=x, SP=1.1x. New CP=0.8x, new SP=1.1x-10. 1.1x-10 = 1.25×0.8x = x → 0.1x=10 → x=100.

Explanation:
x × 1.3 × 0.7 = 0.91x = 273 → x = 300.