if 10% is lost when an article is sold for rs 810 for how much must it be sold to make a profit of 15 %
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✯ Question ✯
If 10% is lost when an article is sold for ₹ 810, for how much must it be sold to make a profit of 15 %.
✯ Given ✯
10% is lost when the article is sold for ₹ 810.
✯ To find ✯
The SP to gain 15 %.
✯ Solution ✯
CP of the article
= ₹ {100/(100-loss%) × 810}
= ₹ {100/(100-10) × 810}
= ₹ (100/90 × 810)
= ₹ (100×9)
= ₹ 900
So, CP = ₹ 900
SP = ₹ {(100+profit%)/100 × CP}
New SP to gain 15%
= ₹ {(100+profit%)/100 × CP}
= ₹ {(100+15)/100 × 900}
= ₹ (115/100 × 900)
= ₹ (115×9)
= ₹ 1035
✯ Hence ✯
The new SP = ₹ 1035
✯ Therefore ✯
The article must be sold at ₹ 1035 to make a profit of 15 %.
✵ Hope this helps you. ✵
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