# identical chocolate pieces are sold in boxes of two sizes, small and large. the large box is sold for twice the price of the small box. if the selling price per gram of chocolate in the large box is 12% less than that in the small box, then the percentage by which the weight of chocolate in the large box exceeds that in the small box is nearest to

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get identical chocolate pieces are sold in boxes of two sizes, small and large. the large box is sold for twice the price of the small box. if the selling price per gram of chocolate in the large box is 12% less than that in the small box, then the percentage by which the weight of chocolate in the large box exceeds that in the small box is nearest to from screen.

## CAT 2021 Quant Question [Slot 1] with Solution 20 – Bodhee Prep

## CAT 2021 Quant Question [Slot 1] with Solution 20

**Question**

Identical chocolate pieces are sold in boxes of two sizes, small and large. The large box is sold for twice the price of the small box. If the selling price per gram of chocolate in the large box is 12% less than that in the small box, then the percentage by which the weight of chocolate in the large box exceeds that in the small box is nearest to

144 127 135 124

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## [Solution] Identical chocolate pieces are sold in boxes of two sizes, small and large. The large box is sold for twice the price of the small box. If the selling price per gram of chocolate in the large box is 12% less than that in the small box, then the percentage by which the weight of chocolate in the large box exceeds that in the small box is nearest to

Identical chocolate pieces are sold in boxes of two sizes, small and large. The large box is sold for twice the price of the small box. If the selling price per gram of chocolate in the large box is 12% less than that in the small box, then the percentage by which the weight of chocolate in the large box exceeds that in the small box is nearest to - Let the selling price of the Large and Small boxes of chocolates be Rs.200 and Rs.100 respectively. Let us consider that the Large box has L grams of chocolate while the Small box has S grams of chocolate. The relation between the selling price per gram of chocolate can be represented as: \frac{200}{L}=0.88\times\ \frac{100}{S} On solving we obtain the ratio of the amount of chocolate in each box as: \frac{L}{S}=\frac{25}{11} The percentage by which the weight of chocolate in the large box exceeds that in the small box = \left(\frac{25}{11}-1\right)\times\ 100\approx\ 127\%

### CAT 2021 Slot 1 Question 64

Question 64

Identical chocolate pieces are sold in boxes of two sizes, small and large. The large box is sold for twice the price of the small box. If the selling price per gram of chocolate in the large box is 12% less than that in the small box, then the percentage by which the weight of chocolate in the large box exceeds that in the small box is nearest to

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Solution

Let the selling price of the Large and Small boxes of chocolates be Rs.200 and Rs.100 respectively. Let us consider that the Large box has

L

L grams of chocolate while the Small box has

S

S grams of chocolate.

The relation between the selling price per gram of chocolate can be represented as:

\frac{200}{L}=0.88\times\ \frac{100}{S}

L 200 =0.88× S 100

On solving we obtain the ratio of the amount of chocolate in each box as:

\frac{L}{S}=\frac{25}{11}

S L = 11 25

The percentage by which the weight of chocolate in the large box exceeds that in the small box =

\left(\frac{25}{11}-1\right)\times\ 100\approx\ 127\%

( 11 25 −1)× 100≈ 127%

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AT 2021 Quant was dominated by Arithmetic followed by Algebra. In Arithmetic, the questions were dominated by topics like **Speed-time-distance**, **Mixture and Alligations**. This year, there was a surprise. The questions from **Geometry** were relatively on the lower side as compared to the previous years. There were 8 TITA Qs this year. Overall this section was at a medium level of difficulty.

Question 3 : Identical chocolate pieces are sold in boxes of two sizes, small and large. The large box is sold for twice the price of the small box. If the selling price per gram of chocolate in the large box is 12% less than that in the small box, then the percentage by which the weight of chocolate in the large box exceeds that in the small box is nearest to

127 135 124 144 Video Solution Explanatory Answer

### Video Explanation

### Explanatory Answer

Let's consider the selling prices of small and large chocolate boxes be ‘x’ and ‘2x’ respectively.

Let's also consider the weights of the small and large chocolate boxes to be 100(to make it easy) and y respectively.

Given that, the selling price per gram of chocolate in the large box is 12% less than that in the small box.

Therefore, x 100 x100 x 0.88 = 2x y 2xy y = 200 0.88 2000.88 y ≅ ≅ 227

Hence, the weight of chocolate in a large box exceeds 127% of that of a small box.

Hence the answer is 127.

### The answer is '127'

Choice A is the correct answer.

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Guys, does anyone know the answer?