Question

a memorial trust donates 5,00,000 to a school the interest on which is to be used for awarding 3 scholarships to students obtaining first three positions in the school examination every year. if the donation earns an interest of 12 percent per annum and the values of the second and third scholarships are 20,000 and 15,000 respectively, find our tge value of the first scholarship

Answer 1

$Donation \:of \:a \: memorial \:trust \:to \:a \\school =Rs \: 5,00,000$

$Interest \:earned \: by \:donation \\= 12\% \:of \:500000 \\= \frac{12}{100} \times 500000 \\= 12 \times 5000 \\= Rs \:60000$

$Let \: value \:of\:First \: scholarship = Rs \:x$

$Value \:of \:Second \: scholarship = Rs \:20000$

$value \:of \:Third \: scholarship = Rs \:15000$

/* According to the problem given */

$Sum \:of \: three \: scholarships = 60000$

$\implies x + 20000 + 15000 = 60000$

$\implies x + 35000 = 60000$

$\implies x = 60000 - 35000$

$\implies x = Rs \:25000$

Therefore.,

$\red { Value \:of \:the \: first \: scholarship }\\\green {= Rs \:25000 }$

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