Arithmetic

Ratio, Proportion & Variation

Medium

Three milkmen rented a pasture, sharing the rent based on their individual use. A grazed 11 cows for 5 months, B grazed 9 cows for 4 months and C grazed 15 cows for 6 months. If A's share of rent is ₹ 1210, then C's share (in ₹) will be:

798

1980

990

1485

✅ Correct Option: 2

The rent is shared based on usage. Usage is measured by the number of cows multiplied by the number of months.

A's usage $= 11 \times 5 = 55$ cow-months

B's usage $= 9 \times 4 = 36$ cow-months

C's usage $= 15 \times 6 = 90$ cow-months

Total usage $= 55 + 36 + 90 = 181$ cow-months

The rent is shared in the ratio of their usage:

A : B : C $= 55 : 36 : 90$

A's share $= ₹1210$ and A gets 55 parts.

$55$ parts $= ₹1210$

$1$ part $= \frac{1210}{55}$

$1$ part $= ₹22$

C gets 90 parts.

C's share $= 90 \times 22$

C's share $= ₹1980$

Therefore, C's share is ₹1980.

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Three milkmen rented a pasture, sharing the rent based on their individual use. A grazed 11 cows for 5 months, B grazed 9 cows for 4 months and C grazed 15 cows for 6 months. If A's share of rent is ₹ 1210, then C's share (in ₹) will be:

Solution

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