JIPMAT 2023 (LR) - Considering sale of A increased by 50% in 2006, sale of E increased by 10% and all other brands had no change in sales. Total sales in 2006 was 2,16,000. What was the sale of A in 2005 (approximately)? | PYQs + Solutions

JIPMAT 2023

Logical Reasoning

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Considering sale of A increased by 50% in 2006, sale of E increased by 10% and all other brands had no change in sales. Total sales in 2006 was 2,16,000. What was the sale of A in 2005 (approximately)?

1,23,000

1,08,600

77,947

1,16,920

Correct Option: 3

Given total 2006 sales = 216,000

\newline

Brand A increased by 50%

\newline

Brand E increased by 10%

\newline

All others remained same

Let's find what portion A's 2006 sales represents of total:

\newline

In 2005, A was

45\%

of total

\newline

When increased by 50%, A's share in 2006 =

45\% × 1.5 = 67.5\%

of original total

Similarly for E:

\newline

In 2005, E was

22\%

of total

\newline

When increased by 10%, E's share in 2006 =

22\% × 1.1 = 24.2\%

of original total

Other brands (B+C+D) =

(15\% + 10\% + 8\%) = 33\%

remained same

Therefore, 2006 total represents

124.7\%

of 2005 total

So, 216,000 =

124.7\%

of 2005 total

2005 total =

\frac{216,000}{1.247} = 173,216

A's sales in 2005 =

45\%

of 173,216

\newline

0.45 × 173,216

\newline

= approximately 77,947

Therefore, Brand A's sales in 2005 was approximately 77,947.

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