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P, Q, R and S have ₹120, ₹130, ₹140 and ₹150 respectively when they go to visit a fair. P spends ₹49, Q spends ₹54, R spends ₹55 and S spends ₹58. Who has done the lowest expenditure proportionate to their resources?

Solution

✅ Correct Option: 4

To find who has the lowest expenditure proportionate to their resources, we need to calculate what percentage each person spent of their total money.

Expenditure Percentage = (Amount Spent ÷ Amount They Had) × 100


For P:

Had: ₹120, Spent: ₹49

Percentage = (49÷120)×100(49 \div 120) \times 100

Percentage = 40.83%40.83\%


For Q:

Had: ₹130, Spent: ₹54

Percentage = (54÷130)×100(54 \div 130) \times 100

Percentage = 41.54%41.54\%


For R:

Had: ₹140, Spent: ₹55

Percentage = (55÷140)×100(55 \div 140) \times 100

Percentage = 39.29%39.29\%


For S:

Had: ₹150, Spent: ₹58

Percentage = (58÷150)×100(58 \div 150) \times 100

Percentage = 38.67%38.67\%


Comparing all percentages:

P: 40.83%40.83\%

Q: 41.54%41.54\%

R: 39.29%39.29\%

S: 38.67%38.67\%

S has the lowest expenditure percentage at 38.67%38.67\%.

Therefore, S has done the lowest expenditure proportionate to their resources.

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