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Ramrao sold 13 quintal wheat at Rs3250 per quintal and 23 quintals soyabean at Rs 4350 per quintal through a commission agent $3\%$ commission was paid. Find the amount that Ramrao will receive.
A. Rs.138031
B. Rs.138033
C. Rs.138181
D. Rs.138432

Answer
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508.8k+ views
Hint: Firstly we will calculate the selling price of both 13 quintal wheat and 23 quintals soyabean by multiplying quantity with price, now on adding these selling prices we will get the total selling price, now if we said that $3\%$ of the total selling price will be given to commission agent so we will subtract this $3\%$ from the total selling price and we will get the amount that ramrao will receive.

Complete step-by-step solution:
We have given that Ramrao sold 13 quintal wheat at Rs3250 per quintal as we are given the price of per quintal so we have to multiply price with quantity so it’s selling price will be \[13\times 3250=42250\]and 23 quintals soyabean at Rs 4350 per quintal similarly its selling price will be \[23\times 4350=100050\], if we add these selling prices we will get \[42250+100050=142300\] so Rs.\[142300\] will be the total selling price, now if we say that $3\%$ is taken by commission agent so we have to deduct $3\%$ of the total selling price from it
We will write it in the mathematical format as \[142300-\dfrac{3}{100}\times 142300\] so on solving we get it as 138031,
Hence Rs.138031 is the amount that Ramrao will receive.

Note: Most of the students have doubt in this expression \[142300-\dfrac{3}{100}\times 142300\]. We are given that $3\%$ commission was paid, so it means that we have paid $3\%$ of the total price to the commission agent so this expression \[\dfrac{3}{100}\times 142300\] is the $3\%$ of the total selling price, so we have to deduct this $3\%$ of the total selling price from the total selling price.

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