An almirah was sold at a profit of 15 If its cost bad been 5 less and it had been sold for Rs1 470 l...........

Quantitative Aptitude (MTS) Profit and loss

An almirah was sold at a profit of 15%. If its cost bad been 5% less and it had been sold for Rs1,470 less, then the profit would have been 10%. What is the cost price of the almirah?

This questions was previously asked in

SSC MTS 11th October 2021 Shift-1

View All SSCMTS Previous Year Papers

Rs 14,000

Rs 29,400

Rs 16,100

Rs 2,94,000

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Explanation:

Correct Option 1:Rs. 14000

Let the cost of almirah be x
SP of almirah = (115/100 of x) = 1.15x
CP is 5% less = (95/100 x x) = 0.95x
If its cost had been 5% less and it had been sold for * 1,470 less,
⇒ SP - 1470 = 0.95x
According to the question
Profit% = [(SP - 1470) -0.95x1/0.95x = 10/100
[(1.15-1470) -0.95x]/0.95x= 1/10
1.15x-1470 -0.95x = 0.095x
⇒0.2x-1470 = 0.095x
(0.2x-0.095x)= 1470
⇒ 0.105x = 1470
⇒x=14000
.. The required Cost price is Rs. 14,000.