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# Mohanlal sells shirts in his shop, all shirts have the same marked pri

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DS Forum Moderator
Joined: 21 Aug 2013
Posts: 1365
Location: India
Mohanlal sells shirts in his shop, all shirts have the same marked pri  [#permalink]

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12 Jul 2018, 22:21
00:00

Difficulty:

45% (medium)

Question Stats:

65% (03:22) correct 35% (03:08) wrong based on 18 sessions

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Mohanlal sells shirts in his shop, all shirts have the same marked price, and also all shirts have same cost price for Mohanlal. First customer buys one shirt and Mohanlal gives him a discount of 10%. Second customer buys two shirts, and Mohanlal gives him a discount of 20%. Third customer buys three shirts, and Mohanlal gives her a discount of 30%. After this Mohanlal realises that for these six shirts combined, he has neither gained nor suffered loss overall. If Mohanlal was to give same percentage discount to each of the three customers and end up with same no profit no loss situation, what would be the approximate value of that discount in percentage?

A. 26%
B. 23%
C. 21%
D. 19%
E. 16%
Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3307
Location: India
GPA: 3.12
Mohanlal sells shirts in his shop, all shirts have the same marked pri  [#permalink]

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12 Jul 2018, 23:59
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amanvermagmat wrote:
Mohanlal sells shirts in his shop, all shirts have the same marked price, and also all shirts have same cost price for Mohanlal. First customer buys one shirt and Mohanlal gives him a discount of 10%. Second customer buys two shirts, and Mohanlal gives him a discount of 20%. Third customer buys three shirts, and Mohanlal gives her a discount of 30%. After this Mohanlal realises that for these six shirts combined, he has neither gained nor suffered loss overall. If Mohanlal was to give same percentage discount to each of the three customers and end up with same no profit no loss situation, what would be the approximate value of that discount in percentage?

A. 26%
B. 23%
C. 21%
D. 19%
E. 16%

Here, the shirts have the same marked price - Let's call it M.
The amount that the shop will make selling the 6 shirts(at their original price) is 6M.

The shirts are sold at 0.9M, 0.8M, and 0.7M to the customers as discounts of 10%,
20%, & 30% are offered to the customer who bought 1,2, & 3 shirts respectively.

The cost recovered after the discounts is 0.9M + 0.8M*2 + 0.7M*3 = 0.9M + 1.6M + 2.1M = 4.6M
This causes a loss of 1.4M (6M - 4.6M) to Mohanlal because of the discounts given to the customers.

Therefore, the approximate value of the discount in percentage is $$\frac{1.4M}{6M}*100 = \frac{70}{3} = 23$$%(approx) (Option B)
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Mohanlal sells shirts in his shop, all shirts have the same marked pri &nbs [#permalink] 12 Jul 2018, 23:59
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