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SSC MTS 6 Aug 2019 Shift 2 Paper
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© examsnet.com
Question : 39
Total: 100
The cost price of an article 1 is six times the profit earned by selling it at SP1. The cost price of article 2 is three times the loss incurred by selling it at SP2. If the cost prices of the articles are the same, then what is the ratio of SP1 and SP2?
4 : 3
7 : 4
7 : 5
6 : 5
Validate
Solution:
Cost price = CP and Selling price = SP
⇒ CP
1
= 6(Profit)
⇒ CP
1
= 6 × (SP
1
- CP
1
)
⇒ 7 × CP
1
= 6 × SP
1
⇒ CP
1
= (6/7) SP
1
---- (1)
⇒ CP
2
= 3(Loss)
⇒ CP
2
= 3(CP
2
- SP
2
)
⇒ 3 SP
2
= 2 CP
2
⇒ CP
2
= 3/2 SP
2
---- (2)
If the cost prices of the articles are the same,
From (1) = (2)
⇒ (6/7) SP
2
= 3/2 SP
2
⇒ SP
1
/ SP
2
= 7/4
⇒ SP
1
: SP
2
= 7 : 4
∴ The ratio of SP1 and SP2 is 7 : 4.
© examsnet.com
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