# Mathematical Aptitude - Ratio Proportion, Percentage and Discounting

>>>>>>>>Ratio Proportion, Percentage and Discounting

• Option : D
• Explanation : Let C’s income = 100
B’s income = 100 + 20 = 120
A’s income = 125% of 120 = 150
Thus, A’s income is 50% higher than that of C.

• Option : C
• Explanation : Let cost price = 100
Net selling price = 100 + 8 = 108
Now 120 – (x% of 120) = 108
x = 10

• Option : C
• Explanation : Discount on Rs 60 = 25% of Rs 60 = Rs 15
Assume that the retailer offers a discount of Rs 15 or 4 extra mangoes.
New purchase price of 4 mangoes = Rs 15
Purchase price of one mango = 15/4 = Rs 3.75

• Option : C
• Explanation : Suppose both length and breadth are 100.
Hence, area = 100 × 100
New length = 100 + 10 m = 110
As area is to be kept same,
110 × new breadth = 100 × 100
New breadth = 100 × 100/110 = 1000/11
Decrease in breadth = 100 − 1,000/11 = 100/11 = 9.11%
As breadth was assumed to be 100, no additional calculation is required for percentage figure.

• Option : B
• Explanation : Using the formula: x + y + xy/100, net percentage increase = 20 + 40 + (20 × 40)/100 = 68%
Increased price = Rs 25 + 68% of 25 = 25 + 17 = Rs 42
Alternatively: Using the multiplier factor concept, we get the final price as 25 ×[6/5]x[7/5]=Rs 42