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MAT Exam 2022 Paper

Question : 96 of 200

Marks: +1, -0

DIRECTION (Q. 96): Study the following information carefully to answer the question.

Ram sold 10 acres of land to Mani and Dinesh who paid him the total amount in the ratio of 2 : 3. Mani invested a further ₹ 3 lakh in the land for the purpose of planting coconut and lemon trees in the ratio of 4 : 1. These trees were planted on equal areas of land. There were a total of 200 lemon trees. The sale price of one coconut was ₹ 10 in 2019. The crop took 7 years to mature and when the crop was reaped in 2019, the total revenue generated was 50% of the total initial amount put in by Mani and Dinesh together. The revenue generated from the coconut and lemon trees was in the ratio of 5 : 4 and it was shared equally by Mani and Dinesh as the initial amount spent by them was equal.

How many coconuts were reaped?

24000
50000
25000
19000

Validate

Solution:

Concept:

The extra amount invested by Mani makes his total initial contribution equal to Dinesh’s contribution. Use the revenue ratio to find the coconut revenue and then the number of coconuts.

Explanation:

Let the amounts originally paid by Mani and Dinesh be

2x

and

3x

lakh rupees, respectively.

Mani invests Rs.

3

lakh more for planting trees.

After this additional investment, their amounts become equal:

2x + 3 = 3x

So,

x = 3

lakh.

Thus, each of Mani and Dinesh invested

3x = 9

lakh rupees.

Total initial amount invested by both together =

9 + 9 = 18

lakh rupees.

Total revenue generated in 2019 =

50\%

of Rs.

18

lakh = Rs.

9

lakh.

Revenue from coconut and lemon trees is in the ratio

5:4

Coconut revenue =

\frac{5}{5+4} \times 9

lakh = Rs.

5{,}00{,}000

Sale price of one coconut is Rs.

10

Number of coconuts reaped =

\frac{5{,}00{,}000}{10} = 50{,}000

Answer:

50{,}000

coconuts were reaped.

Correct option: B.

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