JIPMAT 2025 (QA) - A car owner buys petrol at the rate ₹ 17, ₹ 19 and ₹ 20 per litre, respectively for three consecutive years. Compute the average cost per litre, if he spends ₹ 6,460 per year for the three consecutive years. | PYQs + Solutions

JIPMAT 2025

Arithmetic

Averages

Medium

A car owner buys petrol at the rate ₹ 17, ₹ 19 and ₹ 20 per litre, respectively for three consecutive years. Compute the average cost per litre, if he spends ₹ 6,460 per year for the three consecutive years.

₹ 18.49

₹ 18.58

₹ 19.20

₹ 21.66

✅ Correct Option: 2

Let

x, y

and

z

be the no. of litres purchased in three consecutive years, respectively.

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Years	1	2	3
No. of litres	x	y	z
Rate	17	19	20
Total Expense	6460	6460	6460

From the above table,

\newline

x = \dfrac{6460}{17} = 380

y = \dfrac{6460}{19} = 340

z= \dfrac{6460}{20} = 323

Thus, the average cost per litre

= \dfrac{\text{Total expense}}{\text{Total No. of litres}} = \dfrac{6460 + 6460 + 6460}{380 + 340 +323}

= \dfrac{3 \times 6460}{1043} = \dfrac{19380}{1043} = \dfrac{19.38}{1.043}

From here, we understand that the average has to be lower than

₹ 19.38

. However, we still have two options,

₹18.49

₹18.58

To get a unique answer, let's assume the average is

₹18.5

\newline

Thus, total expense

= 18.5 \times 1043 = ₹ 19295.5

which is lower than actual expense of

₹ 19380

Hence, the average is greater than

18.5

, which gives us

18.58

as the unique solution.

Hence, the correct option is Option 2.

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JIPMAT 2025 (QA) PYQs

A car owner buys petrol at the rate ₹ 17, ₹ 19 and ₹ 20 per litre, respectively for three consecutive years. Compute the average cost per litre, if he spends ₹ 6,460 per year for the three consecutive years.

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