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CBSE Class 9 Answered

On space selling space straight a space tea space set space at space 5 percent sign space loss space and space straight a space lemon space set space at space 15 percent sign space gain space comma space straight a space crockery space seller space gains space straight a space space total space of space ₹ 7. space If space he space space sells space the space tea space set space at space space 5 percent sign space gain space and space the space space lemon space space set space at space space 10 percent sign space gain space comma space space he space gains space ₹ 13. space space Find space the space actual space space price space of space tea space set.
Asked by vinayakjha24 | 29 Apr, 2019, 08:35: AM
answered-by-expert Expert Answer
 
 
Let the actual price of a tea set be T and that of lemon set be L.
 
In the first case net profit is Rs. 7.
 
Hence, (15/100)L - (5/100)T = 7
 
→ 3L - T = 140 .... (i)
 
In the second case, net profit is Rs. 13.
 
Hence, (5/100)T + (10/100)L = 13
 
→ T + 2L = 260
 
Adding (i) and (ii), we get
 
5L = 400
→ L = 80
 
Substituting the vallue of L in (i), we get
T = 100
 
Hence the actual price of Tea set is Rs. 100.
Answered by Yasmeen Khan | 29 Apr, 2019, 10:55: AM
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