Question

Since price of mangoes decreased by 25% i can buy 4 mangoes more for Rs 60. What is the original price of one mangoes

Answer 1

Answer:

16 is the answer

Step-by-step explanation:

100/75=X/X+4=16

Answer 2

${\mathfrak{\blue{\underline{\underline{Answer:-}}}}}$

$\sf{The\;original\;cost\;of\;each\;mango\;was\;Rs.\;5.}$

${\mathfrak{\blue{\underline{\underline{Explanation:-}}}}}$

$\sf{Initial\;cost\;of\;the\;mangoes=Rs.\;60}$

$\sf{Initial\;quantity\;of\;the\;mangoes\;be\;x.}$

$\sf{Since\;there\;is\;a\;reduction\;of\;25\%\;in\;the\;price\;of\;the\;mangoes\;is\;becoming}$

$\sf{\dfrac{3}{4}\;th\;of\;the\;original\;price,\;therefore\;the\;quantity\;that\;can\;be\;purchased\;now\;is}$

$\sf{\dfrac{4}{3}rd\;of\;the\;original\;quantity.}$

$\sf{Now,}$

$\sf{\dfrac{4}{3}\;x\;can\;be\;written\;as:}$$\sf{\dfrac{x+1}{3x},}$

$\sf{Where\;x\;is\;the\;original\;amount\;of\;mangoes.}$

$\sf{And\;\dfrac{1}{3x}\;represents\;the\;number\;of\;increased\;mangoes,\;i.e.,\; 4}$

$\sf{\dfrac{1}{3x} \;of\;the\;original\;quantity\;purchased=4}$

$\sf{Original\;quantity\;purchased,\;x=4\times 3=12.}$

$\sf{Cost\;of\;12\;mangoes\;initially=Rs.\;60}$

$\sf{Cost\;of\;1\;mango=\dfrac{60}{12}=5}$

${\boxed{\boxed{\sf{\red{Hence,\;the\;original\;cost\;of\;each\;mango\;was\;Rs.\;5.</strong><strong>}</strong><strong>}}}}$