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MAT Exam 2023 Paper

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Question : 120 of 200

Marks: +1, -0

The cost of 13 kg of sugar is ₹ 208/-. The cost of 17 kg. of rice is ₹ 510/- and the cost of 21 kg. of wheat is ₹ 357/-. What is the total cost of 21 kg of sugar, 26 kg of rice and 19 kg of wheat?

₹ 1,451/-
₹ 1,439/-
₹ 1,500/-
₹ 1,435/-

Solution:

Concept:

Find the rate per kg for each item, then multiply by the required quantity and add the totals.

Explanation:

Sugar:

13

kg costs ₹

208

.

So, rate of sugar is

\frac{208}{13} = ₹16

per kg.

Cost of

21

kg sugar

= 21 \times 16 = ₹336

.

Rice:

17

kg costs ₹

510

.

So, rate of rice is

\frac{510}{17} = ₹30

per kg.

Cost of

26

kg rice

= 26 \times 30 = ₹780

.

Wheat:

21

kg costs ₹

357

.

So, rate of wheat is

\frac{357}{21} = ₹17

per kg.

Cost of

19

kg wheat

= 19 \times 17 = ₹323

.

Total cost

= ₹336 + ₹780 + ₹323 = ₹1439

.

Answer:

₹

1,439

(Option B)

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