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Mahima ordered 4 pairs of Blue bangles and some additional pairs of Green bangles. The price of the Blue bangles per pair was twice that of the Green bangles. When the order was filled, it was found that thenumber of pairs of the two colours had been interchanged. This increased the bill by 50%. The ratio of thenumber of pairs of Blue bangles to the number of pairs of Green bangles in the original order was |
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Answer» The price of the black socks per pair be Rs.2y⇒ The ORIGINAL bill =(4×2y+x×y)=8y+xy⇒ The new bill after INTERCHANGED =(4×y+x×2y)=4y+2xyThe new bill is 50% more than the original bill.∴ (8y+xy)+(8y+xy)×10050=4y+2xy⇒ (8y+xy)+2(8y+xy)=4y+2xy⇒ 23×(8y+xy)=4y+2xy⇒ 23(8+x)=4+2x [ Dividing both sides by y ]⇒ 3(8+x)=2(4+2x)⇒ 24+3x=8+4x⇒ 4x−3x=24−8⇒ x=16∴ The number of blue socks in the original bill are 16⇒ The required ratio =164=4 |
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