The expenses on rice, fish and oil of a family are in the ratio 12 : 17 : 3. The prices of these articles are increased by 20%, 30% and 50% respectively. The total expenses of family on these articles are increased by
Options:
A . 56$1/8$%
B . 28$1/8$%
C . 7$1/8$%
D . 14$1/8$%
Answer: Option B Answer: (b)Let the initial expenses on rice, fish and oil be Rs.12x, Rs.17x and Rs.3x respectively.Total expenditure = Rs.(12x + 17x + 3x) = Rs.32 x After increase, Expenditure on rice = $120/100 ×12x = Rs.14.4x$Expenditure on fish = $130/100 × 17x = Rs.22.1x$Expenditure on oil = $150/100 × 3x = Rs.4.5x$Total expenditure =Rs.(14.4 x + 22.1x + 4.5 x) =Rs.41 xIncrease = Rs.(41x – 32x) = Rs.9xPercentage increase =${9x}/{32x} × 100 =225/8 = 28{1}/8$%
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