The following tables show the expenditure (in percentage) of two families A and B :
Family A
20% Miscellaneous
30% Entertainment
50% Food
(Monthly income ₹ 20,000)
Family B
20% Entertainment
70% Miscellaneous
10% Food
(Monthly income ₹ 1,00,000)
Which one among the following statements is true?
Family A: Monthly income ₹ 20,000
Miscellaneous: 20% of ₹ 20,000 = 0.20 * 20000 = ₹ 4,000
Entertainment: 30% of ₹ 20,000 = 0.30 * 20000 = ₹ 6,000
Food: 50% of ₹ 20,000 = 0.50 * 20000 = ₹ 10,000
Total expenditure for Family A = 4000 + 6000 + 10000 = ₹ 20,000.
Family B: Monthly income ₹ 1,00,000
Miscellaneous: 70% of ₹ 1,00,000 = 0.70 * 100000 = ₹ 70,000
Entertainment: 20% of ₹ 1,00,000 = 0.20 * 100000 = ₹ 20,000
Food: 10% of ₹ 1,00,000 = 0.10 * 100000 = ₹ 10,000
Total expenditure for Family B = 70000 + 20000 + 10000 = ₹ 1,00,000.
Now let’s evaluate each statement:
A) Family A spends as much on miscellaneous as family B spends on entertainment.
Family A Misc: ₹ 4,000
Family B Ent: ₹ 20,000
₹ 4,000 ≠ ₹ 20,000. Statement A is false.
B) The food expense of family B is equal to the total expense of family A.
Family B Food: ₹ 10,000
Total expense of family A: ₹ 20,000
₹ 10,000 ≠ ₹ 20,000. Statement B is false.
C) Families A and B spend equally on food.
Family A Food: ₹ 10,000
Family B Food: ₹ 10,000
₹ 10,000 = ₹ 10,000. Statement C is true.
D) Families A and B spend equally on entertainment.
Family A Ent: ₹ 6,000
Family B Ent: ₹ 20,000
₹ 6,000 ≠ ₹ 20,000. Statement D is false.
The only true statement is C.